forked from lijiext/lammps
565 lines
26 KiB
Plaintext
565 lines
26 KiB
Plaintext
"LAMMPS WWW Site"_lws - "LAMMPS Documentation"_ld - "LAMMPS Commands"_lc :c
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:link(lws,http://lammps.sandia.gov)
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:link(ld,Manual.html)
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:link(lc,Section_commands.html#comm)
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:line
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variable command :h3
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[Syntax:]
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variable name style args ... :pre
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name = name of variable to define :ulb,l
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style = {delete} or {index} or {loop} or {world} or {universe} or {uloop} or {equal} or {atom} :l
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{delete} = no args
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{index} args = one or more strings
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{loop} args = N = integer size of loop
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{world} args = one string for each partition of processors
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{universe} args = one or more strings
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{uloop} args = N = integer size of loop
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{equal} or {atom} args = one formula containing numbers, thermo keywords, math operations, group functions, atom values and vectors, compute/fix/variable references
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numbers = 0.0, 100, -5.4, 2.8e-4, etc
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thermo keywords = vol, ke, press, etc from "thermo_style"_thermo_style.html
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math operations = (), -x, x+y, x-y, x*y, x/y, x^y,
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sqrt(x), exp(x), ln(x), log(x),
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sin(x), cos(x), tan(x), asin(x), acos(x), atan(x),
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ceil(x), floor(x), round(x)
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group functions = count(group), mass(group), charge(group),
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xcm(group,dim), vcm(group,dim), fcm(group,dim),
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bound(group,xmin), gyration(group)
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atom value = mass\[N\], x\[N\], y\[N\], z\[N\],
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vx\[N\], vy\[N\], vz\[N\], fx\[N\], fy\[N\], fz\[N\]
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atom vector = mass\[\], x\[\], y\[\], z\[\],
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vx\[\], vy\[\], vz\[\], fx\[\], fy\[\], fz\[\]
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compute references = c_ID, c_ID\[2\], c_ID\[N\], c_ID\[N\]\[2\], c_ID\[\], c_ID\[\]\[2\]
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fix references = f_ID, f_ID\[2\], f_ID\[N\], f_ID\[N\]\[2\], f_ID\[\], f_ID\[\]\[2\]
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variable references = v_abc, v_abc\[N\], v_abc\[\] :pre
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:ule
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[Examples:]
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variable x index run1 run2 run3 run4 run5 run6 run7 run8
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variable LoopVar loop $n
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variable beta equal temp/3.0
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variable b1 equal x\[234\]+0.5*vol
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variable b1 equal "x\[234\] + 0.5*vol"
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variable b equal xcm(mol1,x)/2.0
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variable b equal c_myTemp
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variable b atom x\[\]*y\[\]/vol
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variable temp world 300.0 310.0 320.0 $\{Tfinal\}
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variable x universe 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15
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variable x uloop 15
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variable x delete :pre
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[Description:]
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This command assigns one or more strings to a variable name for
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evaluation later in the input script or during a simulation.
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Variables can be used in several ways in LAMMPS. A variable can be
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referenced elsewhere in an input script to become part of a new input
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command. For variable styles that store multiple strings, the
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"next"_next.html command can be used to increment which string is
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assigned to the variable. Variables of style {equal} store a formula
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which when evaluated produces a single numeric value which can be
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output either directly (see the "print"_print.html, "fix
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print"_fix_print.html, and "run every"_run.html commands) or as part
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of thermodynamic output (see the "thermo_style"_thermo_style.html
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command), or used as input to an averaging fix (see the "fix
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ave/time"_fix_ave/time command). Variables of style {atom} store a
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formula which when evaluated produces one numeric value per atom which
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can be output to a dump file (see the "dump custom"_dump.html command)
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or used as input to an averaging fix (see the "fix
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ave/spatial"_fix_ave_spatial.html and "fix ave/atom"_fix_ave_atom.html
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commands).
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In the discussion that follows, the "name" of the variable is the
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arbitrary string that is the 1st argument in the variable command.
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This name can only contain alphanumeric characters and underscores.
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The "string" is one or more of the subsequent arguments. The "string"
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can be simple text as in the 1st example above, it can contain other
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variables as in the 2nd example, or it can be a formula as in the 3rd
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example. The "value" is the numeric quantity resulting from
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evaluation of the string. Note that the same string can generate
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different values when it is evaluated at different times during a
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simulation.
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IMPORTANT NOTE: When the input script line that defines a variable of
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style {equal} or {atom} that contain a formula is encountered, the
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formula is NOT immediately evaluated and the result stored. See the
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discussion below about "Immediate Evaluation of Variables" if you want
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to do this.
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IMPORTANT NOTE: When a variable command is encountered in the input
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script and the variable name has already been specified, the command
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is ignored. This means variables can NOT be re-defined in an input
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script (with 2 exceptions, read further). This is to allow an input
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script to be processed multiple times without resetting the variables;
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see the "jump"_jump.html or "include"_include.html commands. It also
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means that using the "command-line switch"_Section_start.html#2_6 -var
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will override a corresponding index variable setting in the input
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script.
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There are two exceptions to this rule. First, variables of style
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{equal} and {atom} ARE redefined each time the command is encountered.
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This only changes their associated formula if the formula contains a
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substitution for another variable, e.g. $x. But that can be useful,
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for example, in a loop.
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Second, as described below, if a variable is iterated on to the end of
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its list of strings via the "next"_next.html command, it is removed
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from the list of active variables, and is thus available to be
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re-defined in a subsequent variable command. The {delete} option does
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the same thing.
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:line
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"This section"_Section_commands.html#3_2 of the manual explains how
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occurrences of a variable name in an input script line are replaced by
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the variable's string. The variable name can be referenced as $x if
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the name "x" is a single character, or as $\{LoopVar\} if the name
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"LoopVar" is one or more characters.
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As described below, for variable styles {index}, {loop}, {universe},
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and {uloop}, which string is assigned to a variable can be incremented
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via the "next"_next.html command. When there are no more strings to
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assign, the variable is exhausted and a flag is set that causes the
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next "jump"_jump.html command encountered in the input script to be
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skipped. This enables the construction of simple loops in the input
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script that are iterated over and then exited from.
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As explained above, an exhausted variable can be re-used in an input
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script. The {delete} option also removes the variable, the same as if
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it were exhausted, allowing it to be redefined later in the input
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script or when the input script is looped over. This can be useful
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when breaking out of a loop via the "if"_if.html and "jump"_jump.html
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commands before the variable would become exhausted. For example,
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label loop
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variable a loop 5
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print "A = $a"
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if $a > 2 then "jump in.script break"
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next a
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jump in.script loop
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label break
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variable a delete :pre
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:line
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For the {index} style, one or more strings are specified. Initially,
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the 1st string is assigned to the variable. Each time a
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"next"_next.html command is used with the variable name, the next
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string is assigned. All processors assign the same string to the
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variable.
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{Index} style variables with a single string value can also be set by
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using the command-line switch -var; see "this
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section"_Section_start.html#2_6 for details.
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The {loop} style is identical to the {index} style except that the
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strings are the integers from 1 to N. This allows generation of a
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long list of runs (e.g. 1000) without having to list N strings in the
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input script. Initially, the string "1" is assigned to the variable.
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Each time a "next"_next.html command is used with the variable name,
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the next string ("2", "3", etc) is assigned. All processors assign
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the same string to the variable.
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For the {world} style, one or more strings are specified. There must
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be one string for each processor partition or "world". See "this
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section"_Section_start.html#2_6 of the manual for information on
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running LAMMPS with multiple partitions via the "-partition"
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command-line switch. This variable command assigns one string to each
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world. All processors in the world are assigned the same string. The
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next command cannot be used with {equal} style variables, since there
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is only one value per world. This style of variable is useful when
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you wish to run different simulations on different partitions, or when
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performing a parallel tempering simulation (see the
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"temper"_temper.html command), to assign different temperatures to
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different partitions.
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For the {universe} style, one or more strings are specified. There
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must be at least as many strings as there are processor partitions or
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"worlds". See "this page"_Section_start.html#2_6 for information on
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running LAMMPS with multiple partitions via the "-partition"
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command-line switch. This variable command initially assigns one
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string to each world. When a "next"_next.html command is encountered
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using this variable, the first processor partition to encounter it, is
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assigned the next available string. This continues until all the
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variable strings are consumed. Thus, this command can be used to run
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50 simulations on 8 processor partitions. The simulations will be run
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one after the other on whatever partition becomes available, until
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they are all finished. {Universe} style variables are incremented
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using the files "tmp.lammps.variable" and "tmp.lammps.variable.lock"
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which you will see in your directory during such a LAMMPS run.
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The {uloop} style is identical to the {universe} style except that the
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strings are the integers from 1 to N. This allows generation of long
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list of runs (e.g. 1000) without having to list N strings in the input
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script.
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:line
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For the {equal} and {atom} styles, a single string is specified which
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represents a formula that will be evaluated afresh each time the
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variable is used. If you want spaces in the string, enclose it in
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double quotes so the parser will treat it as a single argument. For
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{equal} style variables the formula computes a scalar quantity, which
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becomes the value of the variable whenever it is evaluated. For
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{atom} style variables the formula computes one quantity for each
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atom whenever it is evaluated.
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Note that {equal} and {atom} variables can produce different values at
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different stages of the input script or at different times during a
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run. For example, if an {equal} variable is used in a "fix
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print"_fix_print.html command, different values could be printed each
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timestep it was invoked. If you want a variable to be evaluated
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immediately, so that the result is stored by the variable instead of
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the string, see the section below on "Immediate Evaluation of
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Variables".
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The next command cannot be used with {equal} or {atom} style
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variables, since there is only one string.
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The formula for an {equal} or {atom} variable can contain a variety
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of quantities. The syntax for each kind of quantity is simple, but
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multiple quantities can be nested and combined in various ways to
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build up formulas of arbitrary complexity. For example, this is a
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valid (though strange) variable formula:
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variable x equal "pe + c_MyTemp / vol^(1/3)" :pre
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Specifically, an formula can contain numbers, thermo keywords, math
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operations, group functions, atom values, atom vectors, compute
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references, fix references, and references to other variables.
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Number: 0.2, 100, 1.0e20, -15.4, etc
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Thermo keywords: vol, pe, ebond, etc
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Math operations: (), -x, x+y, x-y, x*y, x/y, x^y, sqrt(x), exp(x), ln(x), log(x), sin(x), cos(x), tan(x), asin(x), acos(x), atan(x), ceil(x), floor(x), round(x)
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Group functions: count(ID), mass(ID), charge(ID), xcm(ID,dim), \
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vcm(ID,dim), fcm(ID,dim), bound(ID,dir), gyration(ID)
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Atom values: mass\[N\], x\[N\], y\[N\], z\[N\], \
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vx\[N\], vy\[N\], vz\[N\], fx\[N\], fy\[N\], fz\[N\]
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Atom vectors: mass\[\], x\[\], y\[\], z\[\], \
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vx\[\], vy\[\], vz\[\], fx\[\], fy\[\], fz\[\]
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Compute references: c_ID, c_ID\[2\], c_ID\[N\], c_ID\[N\]\[2\], c_ID\[\], c_ID\[\]\[2\]
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Fix references: f_ID, f_ID\[2\], f_ID\[N\], f_ID\[N\]\[2\], f_ID\[\], f_ID\[\]\[2\]
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Other variables: v_abc, v_abc\[N\], v_abc\[\] :tb(s=:)
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Note that formula elements that contain empty brackets, such as an
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atom vector, produce per-atom values. All other formula elements
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produce a global value.
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A formula for equal-style variables cannot use any formula element
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that produces per-atom values. A formula for an atom-style variable
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can use formula elements that produce either global values or per-atom
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values.
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The thermo keywords allowed in a formula are those defined by the
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"thermo_style custom" command. Thermo keywords that require a
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"compute"_compute.html to calculate their values such as "temp" or
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"press", use computes stored and invoked by the thermo_style command.
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This means that you can only use those keywords in a variable if the
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style you are using with the thermo_style command (and the thermo
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keywords associated with that style) also define and use the needed
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compute. Note that some thermo keywords use a compute indirectly to
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calculate their value (e.g. the enthalpy keyword uses temp, pe, and
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pressure). If a variable is evaluated in an input script (not during
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a run), then the values accessed by the thermo keyword must be
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current. See the discussion below about "Variable Accuracy".
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Math operations are written in the usual way, where the "x" and "y" in
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the examples above can be another section of the formula. Operators
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are evaluated left to right and have the usual precedence: unary minus
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before exponentiation ("^"), exponentiation before multiplication and
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division, and multiplication and division before addition and
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subtraction. Parenthesis can be used to group one or more portions of
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a formula and enforce a desired order of operations. Additional math
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operations can be specified as keywords followed by a parenthesized
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argument, e.g. sqrt(v_ke). Note that ln() is the natural log; log()
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is the base 10 log. The ceil(), floor(), and round() operations are
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those in the C math library. Ceil() is the smallest integer not less
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than its argument. Floor() if the largest integer not greater than
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its argument. Round() is the nearest integer to its argument.
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Group functions take one or two arguments in a specific format. The
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first argument is the group-ID. The {dim} argument, if it exists, is
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{x} or {y} or {z}. The {dir} argument, if it exists, is {xmin},
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{xmax}, {ymin}, {ymax}, {zmin}, or {zmax}. The group function count()
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is the number of atoms in the group. The group functions mass() and
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charge() are the total mass and charge of the group. Xcm() and vcm()
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return components of the position and velocity of the center of mass
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of the group. Fcm() returns a component of the total force on the
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group of atoms. Bound() returns the min/max of a particular
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coordinate for all atoms in the group. Gyration() computes the
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radius-of-gyration of the group of atoms. See the "fix
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gyration"_fix_gyration.html command for a definition of the formula.
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Atom values take a single integer argument from 1-N, which is the
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desired atom-ID, e.g. x\[243\]., which means use the x coordinate of
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the atom with ID=243.
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Atom vectors use empty brackets, i.e. they take no argument. They
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generate one value per atom, so that a reference like x\[\] means the
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x-coord of each atom will be used when evaluating the variable.
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Compute references access one or more quantities calculated by a
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"compute"_compute.html. The ID in the reference should be replaced by
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the actual ID of the compute defined elsewhere in the input script.
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See the doc pages for individual computes to see which ones calculate
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global versus per-atom quantities. If the compute reference contains
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empty brackets, then per-atom values calculated by the compute are
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accessed. Otherwise a single value (global or per-atom) calculated by
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the compute is accessed. If a variable containing a compute is
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evaluated in an input script (not during a run), then the values
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accessed by the compute must be current. See the discussion below
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about "Variable Accuracy".
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The different kinds of compute references are as follows. M is a
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positive integer <= the number of vector values calculated by the
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compute. N is a global atom ID (positive integer).
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c_ID: scalar value of a global compute
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c_ID\[2\]: vector component of a global compute
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c_ID\[N\]: single atom's scalar value of a per-atom compute
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c_ID\[N\]\[M\]: single atom's vector component of a per-atom compute
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c_ID\[\]: per-atom scalar from a per-atom compute
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c_ID\[\]\[M\]: per-atom vector component from a per-atom compute :tb(s=:)
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Fix references access one or more quantities calculated by a
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"fix"_fix.html. The ID in the reference should be replaced by the
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actual ID of the fix defined elsewhere in the input script. See the
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doc pages for individual computes to see which ones calculate global
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versus per-atom quantities. If the fix reference contains empty
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brackets, then per-atom values calculated by the fix are accessed.
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Otherwise a single value (global or per-atom) calculated by the fix is
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accessed.
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Note that some fixes only generate quantities on certain timesteps.
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If a variable attempts to access the fix on non-allowed timesteps, an
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error is generated. For example, the "fix ave/time"_fix_ave_time.html
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command may only generate averaged quantities every 100 steps. See
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the doc pages for individual fix commands for details. If a variable
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containing a fix is evaluated in an input script (not during a run),
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then the values accessed by the fix should be current. See the
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discussion below about "Variable Accuracy".
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The different kinds of fix references are exactly the same as the
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compute references listed in the above table, where "c_" is replaced
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by "f_", and the word "compute" is replaced by "fix".
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The current values of other variables can be accessed by prepending a
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"v_" to the variable name. This will cause that variable to be
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evaluated. Atom-style variables generate per-atom values; all other
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styles of variables generate a single scalar value.
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The different kinds of variable references are as follows. N is a
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global atom ID (positive integer).
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v_ID: scalar value of a non atom-style variable
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v_ID\[N\]: single atom's scalar value from an atom-style variable
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v_ID\[\]: per-atom value from an atom-style variable :tb(s=:)
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IMPORTANT NOTE: If you define variables in circular manner like this:
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variable a equal v_b
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variable b equal v_a
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print $a :pre
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then LAMMPS will run for a while when the print statement is invoked!
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:line
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[Immediate Evaluation of Variables:]
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There is a difference between referencing a variable with a leading $
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sign (e.g. $x or $\{abc\}) versus with a leading "v_" (e.g. v_x or
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v_abc). The former can be used in any command, including a variable
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command, to force the immediate evaluation of the referenced variable
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and the substitution of its value into the command. The latter is a
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required kind of argument to some commands (e.g. the "fix
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ave/spatial"_fix_ave_spatial.html or "dump custom"_dump.html or
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"thermo_style"_thermo_style.html commands) if you wish it to evaluate
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a variable periodically during a run. It can also be used in a
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variable formula if you wish to reference a second variable. The
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second variable will be evaluated whenever the first variable is
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evaluated.
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As an example, suppose you use this command in your input script to
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define the variable "v" as
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variable v equal vol :pre
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before a run where the simulation box size changes. You might think
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this will assign the initial volume to the variable "v". That is not
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the case. Rather it assigns a formula which evaluates the volume
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(using the thermo_style keyword "vol") to the variable "v". If you
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use the variable "v" in some other command like "fix ave/time" then
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the current volume of the box will be evaluated continuously during
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the run.
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If you want to store the initial volume of the system, you can do it
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this way:
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variable v equal vol
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variable v0 equal $v :pre
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The second command will force "v" to be evaluated (yielding the
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initial volume) and assign that value to the variable "v0". Thus the
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command
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thermo_style custom step v_v v_v0 :pre
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would print out both the current and initial volume periodically
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during the run.
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Note that it is a mistake to enclose a variable formula in double
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quotes if it contains variables preceeded by $ signs. For example,
|
|
|
|
variable vratio equal "$\{vfinal\}/$\{v0\}" :pre
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|
|
|
This is because the quotes prevent variable substitution (see "this
|
|
section"_Section_commands.html#3_2 on parsing input script commands),
|
|
and thus an error will occur when the formula for "vratio" is
|
|
evaluated later.
|
|
|
|
:line
|
|
|
|
[Variable Accuracy:]
|
|
|
|
Obviously, LAMMPS attempts to evaluate variables containing formulas
|
|
({equal} and {atom} style variables) accurately whenever the
|
|
evaluation is performed. Depending on what is included in the
|
|
formula, this may require invoking a "compute"_compute.html, either
|
|
directly or indirectly via a thermo keyword, or accessing a value
|
|
previously calculated by a compute, or accessing a value calculated
|
|
and stored by a "fix"_fix.html. If the compute is one that calculates
|
|
the pressure or energy of the system, then these quantities need to be
|
|
tallied during the evaluation of the interatomic potentials (pair,
|
|
bond, etc) on timesteps that the variable will need the values.
|
|
|
|
LAMMPS keeps track of all of this during a "run"_run.html or "energy
|
|
minimization"_minimize.html. An error will be generated if you
|
|
attempt to evaluate a variable on timesteps when it cannot produce
|
|
accurate values. For example, if a "thermo_style
|
|
custom"_thermo_style.html command prints a variable which accesses
|
|
values stored by a "fix ave/time"_fix_ave_time.html command and the
|
|
timesteps on which thermo output is generated are not multiples of the
|
|
averaging frequency used in the fix command, then an error will occur.
|
|
|
|
An input script can also request variables be evaluated before or
|
|
after or in between runs, e.g. by including them in a
|
|
"print"_print.html command. In this case, if a compute is needed to
|
|
evaluate a variable (either directly or indirectly), LAMMPS will not
|
|
invoke the compute, but it will use a value previously calculated by
|
|
the compute if it is current. Fixes will always provide a quantity
|
|
needed by a variable, but the quantity may or may not be current.
|
|
This leads to one of three kinds of behavior:
|
|
|
|
(1) The variable may be evaluated accurately. If it contains
|
|
references to a compute or fix, and these values were calculated on
|
|
the last timestep of a preceeding run, then they will be accessed and
|
|
used by the variable and the result will be accurate.
|
|
|
|
(2) LAMMPS may not be able to evaluate the variable and generate an
|
|
error. For example, if the variable requires a quantity from a
|
|
"compute"_compute.html that is not current, LAMMPS will not do it.
|
|
This means, for example, that such a variable then the variable cannot
|
|
be evaluated before the first run has occurred.
|
|
|
|
One way to get around this problem is to perform a 0-timestep run
|
|
before using the variable. For example, these commands
|
|
|
|
variable t equal temp
|
|
print "Initial temperature = $t"
|
|
run 1000 :pre
|
|
|
|
will generate an error if the run is the first run specified in the
|
|
input script, because generating a value for the "t" variable requires
|
|
a compute for calculating the temperature to be invoked.
|
|
|
|
However, this sequence of commands would be fine:
|
|
|
|
run 0
|
|
variable t equal temp
|
|
print "Initial temperature = $t"
|
|
run 1000 :pre
|
|
|
|
The 0-timestep run initializes and invokes various computes, including
|
|
the one for temperature, so that the value it stores is current and
|
|
can be accessed by the variable "t" after the run has completed. Note
|
|
that a 0-timestep run does not alter the state of the system, so it
|
|
does not change the input state for the 1000-timestep run that
|
|
follows. Also note that the 0-timestep run must actually use and
|
|
invoke the compute in question (e.g. via "thermo"_thermo_style.html or
|
|
"dump"_dump.html output) in order for it to enable the compute to be
|
|
used in a variable after the run.
|
|
|
|
Unlike computes, "fixes"_fix.html will never generate an error if
|
|
their values are accessed by a variable in between runs. They always
|
|
return some value to the variable. However, the value may not be what
|
|
you expect if the fix has not yet calculated the quantity of interest
|
|
or it is not current. For example, the "fix indent"_fix_indent.html
|
|
command stores the force on the indenter. But this is not computed
|
|
until a run is performed. Thus if a variable attempts to print this
|
|
value before the first run, zeroes will be output. Again, performing
|
|
a 0-timestep run before printing the variable has the desired effect.
|
|
|
|
(3) The variable may be evaluated incorrectly. And LAMMPS may have
|
|
no way to detect this has occurred. Consider the following sequence
|
|
of commands:
|
|
|
|
pair_coeff 1 1 1.0 1.0
|
|
run 1000
|
|
pair_coeff 1 1 1.5 1.0
|
|
variable e equal pe
|
|
print "Final potential energy = $e" :pre
|
|
|
|
The first run is performed using one setting for the pairwise
|
|
potential defined by the "pair_style"_pair_style.html and
|
|
"pair_coeff"_pair_coeff.html commands. The potential energy is
|
|
evaluated on the final timestep and stored by the "compute
|
|
pe"_compute_pe.html compute (this is done by the
|
|
"thermo_style"_thermo_style.html command). Then a pair coefficient is
|
|
changed, altering the potential energy of the system. When the
|
|
potential energy is printed via the "e" variable, LAMMPS will use the
|
|
potential energy value stored by the "compute pe"_compute_pe.html
|
|
compute, thinking it is current. There are many other commands which
|
|
could alter the state of the system between runs, causing a variable
|
|
to evaluate incorrectly.
|
|
|
|
The solution to this issue is the same as for case (2) above, namely
|
|
perform a 0-timestep run before the variable is evaluated to insure
|
|
the system is up-to-date. For example, this sequence of commands
|
|
would print a potential energy that reflected the changed pairwise
|
|
coefficient:
|
|
|
|
pair_coeff 1 1 1.0 1.0
|
|
run 1000
|
|
pair_coeff 1 1 1.5 1.0
|
|
run 0
|
|
variable e equal pe
|
|
print "Final potential energy = $e" :pre
|
|
|
|
:line
|
|
|
|
[Restrictions:]
|
|
|
|
Indexing any formula element by global atom ID, such as an atom value,
|
|
requires the atom style to use a global mapping in order to look up
|
|
the vector indices. By default, only atom styles with molecular
|
|
information create global maps. The "atom_modify
|
|
map"_atom_modify.html command can override the default.
|
|
|
|
All {universe}- and {uloop}-style variables defined in an input script
|
|
must have the same number of values.
|
|
|
|
[Related commands:]
|
|
|
|
"next"_next.html, "jump"_jump.html, "include"_include.html,
|
|
"temper"_temper.html, "fix print"_fix_print.html, "print"_print.html
|
|
|
|
[Default:] none
|