From 43260bfc6a20bcabf5267cf8a4ab1c20d3128443 Mon Sep 17 00:00:00 2001 From: sjplimp Date: Fri, 12 Oct 2007 14:49:56 +0000 Subject: [PATCH] git-svn-id: svn://svn.icms.temple.edu/lammps-ro/trunk@1026 f3b2605a-c512-4ea7-a41b-209d697bcdaa --- doc/Eqs/Script.create | 1 + doc/Eqs/pair_lubricate.jpg | Bin 0 -> 8963 bytes doc/Eqs/pair_lubricate.tex | 17 +++++++++++++++++ 3 files changed, 18 insertions(+) create mode 100644 doc/Eqs/pair_lubricate.jpg create mode 100644 doc/Eqs/pair_lubricate.tex diff --git a/doc/Eqs/Script.create b/doc/Eqs/Script.create index ca63e69de4..7061f6fe66 100755 --- a/doc/Eqs/Script.create +++ b/doc/Eqs/Script.create @@ -43,6 +43,7 @@ latex pair_granular latex pair_lj latex pair_lj_expand latex pair_lj_smooth +latex pair_lubricate latex pair_meam latex pair_morse latex pair_soft diff --git a/doc/Eqs/pair_lubricate.jpg b/doc/Eqs/pair_lubricate.jpg new file mode 100644 index 0000000000000000000000000000000000000000..54bbd199d598ad406033bfc95263117e2b29493d GIT binary patch literal 8963 zcmc(kcTf{d_~%0h>Ae%GfCT9v9h8o~^xg?oYJxQBARsmLqEe(NNKL@dL8OH)i1eaV zDWQZKDLLP}-`#I+Zf@@8{<&voc6MiHcV~B=`R;z62RD!V382x_($xas;o$*v{uTgk z3Gf6!L_kPLNI>+rA|fIpCZQlD`D@hVqpOdQPg3~Y?Fv@ARTjnA~Z8DH%Cq6LaUx zrsmi4wzH#Say=|SdtMDy7 zSBE1N2o9gCv)VCE#febX5HxDMfb@ z%lo64KyCMr{(sUqGF9RLs4tRe9VhrEjaF~{qH*@3B1_DTt3NsR^)mUTQL>D{dZ#(A`EvUHjUGY*az9IoliUL3T$UNSKk)X;_bmC;$o z%8oW6*>}I}cq6W^y*^ucFRoiT>4%ll`JO0>G}sko7DmstU(@+8h}oh8$ed|PFtdXGeOoeYmePFPXIbQCrA5wT^w#unWSjJwN6(N^~hq? z6(Tc9(lY|NuBz;4`5ZPDKGo{6naO}iJJMvgGbkAuLSgHFH?@8rFv))A-w39B-5pwS zmCjW(3S4F$H;mvs--!NG{TAiaI&*pAVD&ynGYs&0S%Z{V=WOUX85h-C)QQP*`HaX@ z62<=G>vYw3?OkKN(yiFKEaHR!QeurIJyuI%2hjWQJ3kU5RzE9$mP7KuG5)Xam5q&~ zDuRLxklrIpThLefLjoa+t_7_PF>K7$YON)g4>)IAE?m#n*MK#*r4hypx94|!=6yJo z#88gxuHdc-blMm&Wm^&r+jU?V0*7=i*n}MrGGSTKhwo!uTRiCf%N2z=?>55$fggDC zXV4~#$Ye3!M}N5OGt+o~hf}ZoF&~)=RFXwbFE5W|^xk9T&z#6*pv*Fu$1`N10;i2R z%r9tqWgxTpoU!D55K<%Mc1hvvUIEpK!I!P(-(i4Q!Y%YxQL4TudWLDLGli~snvmk) z@u%2GU4DSd=8T{y4q$LXy`Q9d{BS>?JU?vW$p}IY+VWGph1|)9EiJ8*f(42y9UEB zi=!2Rp9Ui zLDeX~5BIlYMjgWJ3rwFwL&>+9h$C(|Vl%_>Fe{{@c+l$?bhjo@ry_|}Kf83PkQDe~ zKfBQOSwQa*=3V5TurC^Ie+rcLWs~RE1eJ$PY0a7JVBi=PuXfO(^oi-_cUurkpR-u8 zrwU)v>v&BKl#zRYGmzq=99Y}?Otwd19j)H{*9=-AA7!3K|XbQ-_q*h zf^KF}S-Ph}kZ=I-X)valNqis@YjZ8^97Ks^C4&jvw^Pno)*+-bsXUH zpB6#KB9m*VxpYpf9I-!;PFR7W59H#KH$fWdr%da3ic`f zy<*V-#Jkfn{QQGh_DTvz#MYSjs~dGXT6Ut0M!`j=d11S&wTar0{rwaJBg7+Ceo@ar z7>v(@3YpIDv15b-h+*@9r;6BXa^(l?GF-+R60Tl!1;`4zsXky{x-45B`e^)>zD|VJ zyk;roK&-|#iXPV1-QGAhZ?BAQKJ6U!I|#EAG`<#Y5=2@=7z8TJD>kJ+iI$aGqu3T- zv{{a1^Bh9Ka4 zWmjiw&?uU7cu9=AZC-)2pxcKdCp*P9Z=d+l^XD1bd}5Y-{l$}Q-O{oEWyoGdu#Loo z>F#{q%13_d#H?erRQbW0ph*rI%V8liE~~Ehf`%$K4yueU!@uhNuz7rW;B7=l@*Hb` z557Ln-iP4$uFVIes!y%2LsUo!52Z4|ls%7r9{IQiJVLzLII-~Z9xuJX2zhc)dZYS_ zO7i$`4(szTf;qZ)fl|0(d+-0g3iL!XG_( zOI8lQ@m0}(RA~B1t2REca*DjXflKYGo=TT(Lmc7SAa3k1>Uxku5hUZ1U(V;FaBirE zE?cw<)I44U^jS--ckzraTQ9C6pKxDhX)Sc&F8A>6JScP*z@GLJ zu>5E$)^N7)u=O6-34%Z|+LT2F}CuIe90Pw+^1_}N=YgwloUp|!NzW4fsn41WG*P?B~>kDmX<ZvM!^Cl~m74@%<`#j#Y2X(xcs}Dc8DL-MLTq!2z^L!6*P@GRj zHgC6iQ;7jl17iq|Kg$LX2FO(l61JMGVM6x;4PmghV#r+R%wU-FCEiyKOE|;qXAgj^ zLZMLQ5nYi7Oh7|9}jU56~VDeAT;bUL7{m79}i51*B(&rLP{s6!ya zsCWXRBWQTQC8<7-ZlZs+eU#fJ|2AC-DK88zKB;3e5hrKkLE7IbM36w~$f*8k2!hL# z7dyE=VwQ3nTU(IrEr^Rs*>MhNd)VrBK{VMCOf}+Y-1^8Hbb^5XV(nUL@!;+Y&O^h{pk^fI%wt&K`zHJ-Wu{EOR650&c~2(-p6J! 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XDM8}+btw^7lp2xW|AUx|;1>Q1e92>Z literal 0 HcmV?d00001 diff --git a/doc/Eqs/pair_lubricate.tex b/doc/Eqs/pair_lubricate.tex new file mode 100644 index 0000000000..c7e3dd96ed --- /dev/null +++ b/doc/Eqs/pair_lubricate.tex @@ -0,0 +1,17 @@ +\documentclass[12pt]{article} + +\begin{document} + +\begin{eqnarray*} + W & = & - a_{sq} | (v_1 - v_2) \bullet \mathbf{nn} |^2 - + a_{sh} | (\omega_1 + \omega_2) \bullet + (\mathbf{I} - \mathbf{nn}) - 2 \Omega_N |^2 - \\ + & & a_{pu} | (\omega_1 - \omega_2) \bullet (\mathbf{I} - \mathbf{nn}) |^2 - + a_{tw} | (\omega_1 - \omega_2) \bullet \mathbf{nn} |^2 \qquad r < r_c +\end{eqnarray*} + +$$ +\Omega_N = \mathbf{n} \times (v_1 - v_2) / r +$$ + +\end{document}