git-svn-id: svn://svn.icms.temple.edu/lammps-ro/trunk@2134 f3b2605a-c512-4ea7-a41b-209d697bcdaa

This commit is contained in:
sjplimp 2008-10-01 16:13:22 +00:00
parent 799bf321c9
commit a77878d0cb
3 changed files with 521 additions and 503 deletions

View File

@ -54,86 +54,88 @@ c Complete the calculation of density
do i = 1,nlocal
elti = fmap(type(i))
rho1(i) = 0.d0
rho2(i) = -1.d0/3.d0*Arho2b(i)*Arho2b(i)
rho3(i) = 0.d0
do m = 1,3
rho1(i) = rho1(i) + Arho1(m,i)*Arho1(m,i)
rho3(i) = rho3(i) - 3.d0/5.d0*Arho3b(m,i)*Arho3b(m,i)
enddo
do m = 1,6
rho2(i) = rho2(i) + v2D(m)*Arho2(m,i)*Arho2(m,i)
enddo
do m = 1,10
rho3(i) = rho3(i) + v3D(m)*Arho3(m,i)*Arho3(m,i)
enddo
if( rho0(i) .gt. 0.0 ) then
t_ave(1,i) = t_ave(1,i)/rho0(i)
t_ave(2,i) = t_ave(2,i)/rho0(i)
t_ave(3,i) = t_ave(3,i)/rho0(i)
endif
Gamma(i) = t_ave(1,i)*rho1(i)
$ + t_ave(2,i)*rho2(i) + t_ave(3,i)*rho3(i)
if( rho0(i) .gt. 0.0 ) then
Gamma(i) = Gamma(i)/(rho0(i)*rho0(i))
end if
call G_gam(Gamma(i),ibar_meam(elti),gsmooth_factor,G,errorflag)
if (errorflag.ne.0) return
if (ibar_meam(elti).le.0) then
Gbar = 1.d0
else
call get_shpfcn(shp,lattce_meam(elti,elti))
gam = (t_ave(1,i)*shp(1)+t_ave(2,i)*shp(2)
$ +t_ave(3,i)*shp(3))/(Z_meam(elti)**2)
call G_gam(gam,ibar_meam(elti),gsmooth_factor,
$ Gbar,errorflag)
endif
rho(i) = rho0(i) * G
rhob = rho(i)/(rho0_meam(elti)*Z_meam(elti)*Gbar)
Z = Z_meam(elti)
call dG_gam(Gamma(i),ibar_meam(elti),gsmooth_factor,G,dG)
if (ibar_meam(elti).le.0) then
Gbar = 1.d0
dGbar = 0.d0
else
call get_shpfcn(shpi,lattce_meam(elti,elti))
gam = (t_ave(1,i)*shpi(1)+t_ave(2,i)*shpi(2)
$ +t_ave(3,i)*shpi(3))/(Z*Z)
call dG_gam(gam,ibar_meam(elti),gsmooth_factor,
$ Gbar,dGbar)
endif
denom = 1.d0/(rho0_meam(elti)*Z*Gbar)
dGamma1(i) = (G - 2*dG*Gamma(i))*denom
if( rho0(i) .ne. 0.d0 ) then
dGamma2(i) = (dG/rho0(i))*denom
else
dGamma2(i) = 0.d0
end if
dGamma3(i) = rho0(i)*G*dGbar/(Gbar*Z*Z)*denom
B = A_meam(elti)*Ec_meam(elti,elti)
if( rhob .ne. 0.d0 ) then
fp(i) = B*(log(rhob)+1.d0)
if (eflag_either.ne.0) then
if (eflag_global.ne.0) then
eng_vdwl = eng_vdwl + B*rhob*log(rhob)
endif
if (eflag_atom.ne.0) then
eatom(i) = eatom(i) + B*rhob*log(rhob)
endif
if (elti.gt.0) then
rho1(i) = 0.d0
rho2(i) = -1.d0/3.d0*Arho2b(i)*Arho2b(i)
rho3(i) = 0.d0
do m = 1,3
rho1(i) = rho1(i) + Arho1(m,i)*Arho1(m,i)
rho3(i) = rho3(i) - 3.d0/5.d0*Arho3b(m,i)*Arho3b(m,i)
enddo
do m = 1,6
rho2(i) = rho2(i) + v2D(m)*Arho2(m,i)*Arho2(m,i)
enddo
do m = 1,10
rho3(i) = rho3(i) + v3D(m)*Arho3(m,i)*Arho3(m,i)
enddo
if( rho0(i) .gt. 0.0 ) then
t_ave(1,i) = t_ave(1,i)/rho0(i)
t_ave(2,i) = t_ave(2,i)/rho0(i)
t_ave(3,i) = t_ave(3,i)/rho0(i)
endif
Gamma(i) = t_ave(1,i)*rho1(i)
$ + t_ave(2,i)*rho2(i) + t_ave(3,i)*rho3(i)
if( rho0(i) .gt. 0.0 ) then
Gamma(i) = Gamma(i)/(rho0(i)*rho0(i))
end if
call G_gam(Gamma(i),ibar_meam(elti),
$ gsmooth_factor,G,errorflag)
if (errorflag.ne.0) return
if (ibar_meam(elti).le.0) then
Gbar = 1.d0
else
call get_shpfcn(shp,lattce_meam(elti,elti))
gam = (t_ave(1,i)*shp(1)+t_ave(2,i)*shp(2)
$ +t_ave(3,i)*shp(3))/(Z_meam(elti)**2)
call G_gam(gam,ibar_meam(elti),gsmooth_factor,
$ Gbar,errorflag)
endif
rho(i) = rho0(i) * G
rhob = rho(i)/(rho0_meam(elti)*Z_meam(elti)*Gbar)
Z = Z_meam(elti)
call dG_gam(Gamma(i),ibar_meam(elti),gsmooth_factor,G,dG)
if (ibar_meam(elti).le.0) then
Gbar = 1.d0
dGbar = 0.d0
else
call get_shpfcn(shpi,lattce_meam(elti,elti))
gam = (t_ave(1,i)*shpi(1)+t_ave(2,i)*shpi(2)
$ +t_ave(3,i)*shpi(3))/(Z*Z)
call dG_gam(gam,ibar_meam(elti),gsmooth_factor,
$ Gbar,dGbar)
endif
denom = 1.d0/(rho0_meam(elti)*Z*Gbar)
dGamma1(i) = (G - 2*dG*Gamma(i))*denom
if( rho0(i) .ne. 0.d0 ) then
dGamma2(i) = (dG/rho0(i))*denom
else
dGamma2(i) = 0.d0
end if
dGamma3(i) = rho0(i)*G*dGbar/(Gbar*Z*Z)*denom
B = A_meam(elti)*Ec_meam(elti,elti)
if( rhob .ne. 0.d0 ) then
fp(i) = B*(log(rhob)+1.d0)
if (eflag_either.ne.0) then
if (eflag_global.ne.0) then
eng_vdwl = eng_vdwl + B*rhob*log(rhob)
endif
if (eflag_atom.ne.0) then
eatom(i) = eatom(i) + B*rhob*log(rhob)
endif
endif
else
fp(i) = B
endif
else
fp(i) = B
endif
enddo
return

View File

@ -94,88 +94,97 @@ cccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccc
drinv = 1.d0/delr_meam
elti = fmap(type(i))
xitmp = x(1,i)
yitmp = x(2,i)
zitmp = x(3,i)
if (elti.gt.0) then
do jn = 1,numneigh
j = firstneigh(jn)
c First compute screening function itself, sij
xjtmp = x(1,j)
yjtmp = x(2,j)
zjtmp = x(3,j)
delxij = xjtmp - xitmp
delyij = yjtmp - yitmp
delzij = zjtmp - zitmp
rij2 = delxij*delxij + delyij*delyij + delzij*delzij
rij = sqrt(rij2)
if (rij.gt.rc_meam) then
fcij = 0.0
dfcij = 0.d0
sij = 0.d0
else
rnorm = (rc_meam-rij)*drinv
call screen(i, j, nmax, x, rij2, sij,
$ numneigh_full, firstneigh_full, ntype, type, fmap)
call dfcut(rnorm,fc,dfc)
fcij = fc
dfcij = dfc*drinv
endif
c Now compute derivatives
dscrfcn(jn) = 0.d0
sfcij = sij*fcij
if (sfcij.eq.0.d0.or.sfcij.eq.1.d0) goto 100
eltj = fmap(type(j))
rbound = ebound_meam(elti,eltj) * rij2
do kn = 1,numneigh_full
k = firstneigh_full(kn)
if (k.eq.j) goto 10
eltk = fmap(type(k))
xktmp = x(1,k)
yktmp = x(2,k)
zktmp = x(3,k)
delxjk = xktmp - xjtmp
delyjk = yktmp - yjtmp
delzjk = zktmp - zjtmp
rjk2 = delxjk*delxjk + delyjk*delyjk + delzjk*delzjk
if (rjk2.gt.rbound) goto 10
delxik = xktmp - xitmp
delyik = yktmp - yitmp
delzik = zktmp - zitmp
rik2 = delxik*delxik + delyik*delyik + delzik*delzik
if (rik2.gt.rbound) goto 10
xik = rik2/rij2
xjk = rjk2/rij2
a = 1 - (xik-xjk)*(xik-xjk)
if (a.eq.0.d0) goto 10
cikj = (2.d0*(xik+xjk) + a - 2.d0)/a
Cmax = Cmax_meam(elti,eltj,eltk)
Cmin = Cmin_meam(elti,eltj,eltk)
if (cikj.ge.Cmax.or.cikj.lt.0.d0) then
goto 10
c Note that we never have 0<cikj<Cmin here, else sij=0 (rejected above)
else
delc = Cmax - Cmin
cikj = (cikj-Cmin)/delc
call dfcut(cikj,sikj,dfikj)
coef1 = dfikj/(delc*sikj)
call dCfunc(rij2,rik2,rjk2,dCikj)
dscrfcn(jn) = dscrfcn(jn) + coef1*dCikj
endif
10 continue
enddo
coef1 = sfcij
coef2 = sij*dfcij/rij
dscrfcn(jn) = dscrfcn(jn)*coef1 - coef2
100 continue
xitmp = x(1,i)
yitmp = x(2,i)
zitmp = x(3,i)
scrfcn(jn) = sij
fcpair(jn) = fcij
do jn = 1,numneigh
j = firstneigh(jn)
enddo
eltj = fmap(type(j))
if (eltj.gt.0) then
c First compute screening function itself, sij
xjtmp = x(1,j)
yjtmp = x(2,j)
zjtmp = x(3,j)
delxij = xjtmp - xitmp
delyij = yjtmp - yitmp
delzij = zjtmp - zitmp
rij2 = delxij*delxij + delyij*delyij + delzij*delzij
rij = sqrt(rij2)
if (rij.gt.rc_meam) then
fcij = 0.0
dfcij = 0.d0
sij = 0.d0
else
rnorm = (rc_meam-rij)*drinv
call screen(i, j, nmax, x, rij2, sij,
$ numneigh_full, firstneigh_full, ntype, type, fmap)
call dfcut(rnorm,fc,dfc)
fcij = fc
dfcij = dfc*drinv
endif
c Now compute derivatives
dscrfcn(jn) = 0.d0
sfcij = sij*fcij
if (sfcij.eq.0.d0.or.sfcij.eq.1.d0) goto 100
rbound = ebound_meam(elti,eltj) * rij2
do kn = 1,numneigh_full
k = firstneigh_full(kn)
if (k.eq.j) goto 10
eltk = fmap(type(k))
if (eltk.eq.0) goto 10
xktmp = x(1,k)
yktmp = x(2,k)
zktmp = x(3,k)
delxjk = xktmp - xjtmp
delyjk = yktmp - yjtmp
delzjk = zktmp - zjtmp
rjk2 = delxjk*delxjk + delyjk*delyjk + delzjk*delzjk
if (rjk2.gt.rbound) goto 10
delxik = xktmp - xitmp
delyik = yktmp - yitmp
delzik = zktmp - zitmp
rik2 = delxik*delxik + delyik*delyik + delzik*delzik
if (rik2.gt.rbound) goto 10
xik = rik2/rij2
xjk = rjk2/rij2
a = 1 - (xik-xjk)*(xik-xjk)
if (a.eq.0.d0) goto 10
cikj = (2.d0*(xik+xjk) + a - 2.d0)/a
Cmax = Cmax_meam(elti,eltj,eltk)
Cmin = Cmin_meam(elti,eltj,eltk)
if (cikj.ge.Cmax.or.cikj.lt.0.d0) then
goto 10
c Note that we never have 0<cikj<Cmin here, else sij=0 (rejected above)
else
delc = Cmax - Cmin
cikj = (cikj-Cmin)/delc
call dfcut(cikj,sikj,dfikj)
coef1 = dfikj/(delc*sikj)
call dCfunc(rij2,rik2,rjk2,dCikj)
dscrfcn(jn) = dscrfcn(jn) + coef1*dCikj
endif
10 continue
enddo
coef1 = sfcij
coef2 = sij*dfcij/rij
dscrfcn(jn) = dscrfcn(jn)*coef1 - coef2
100 continue
scrfcn(jn) = sij
fcpair(jn) = fcij
endif
enddo
endif
return
end

View File

@ -53,7 +53,7 @@ c
dimension t_ave(3,nmax), f(3,nmax), vatom(6,nmax)
integer i,j,jn,k,kn,kk,m,n,p,q
integer nv2,nv3,elti,eltj,ind
integer nv2,nv3,elti,eltj,eltk,ind
real*8 xitmp,yitmp,zitmp,delij(3),delref(3),rij2,rij,rij3
real*8 delik(3),deljk(3),v(6),fi(3),fj(3)
real*8 Eu,astar,astarp,third,sixth
@ -92,400 +92,407 @@ c
c Compute forces atom i
elti = fmap(type(i))
xitmp = x(1,i)
yitmp = x(2,i)
zitmp = x(3,i)
c Treat each pair
do jn = 1,numneigh
if (elti.gt.0) then
xitmp = x(1,i)
yitmp = x(2,i)
zitmp = x(3,i)
if (scrfcn(jn).ne.0.d0) then
c Treat each pair
do jn = 1,numneigh
j = firstneigh(jn)
eltj = fmap(type(j))
sij = scrfcn(jn)*fcpair(jn)
delij(1) = x(1,j) - xitmp
delij(2) = x(2,j) - yitmp
delij(3) = x(3,j) - zitmp
rij2 = delij(1)*delij(1) + delij(2)*delij(2)
$ + delij(3)*delij(3)
if (rij2.lt.cutforcesq) then
rij = sqrt(rij2)
r = rij
eltj = fmap(type(j))
if (scrfcn(jn).ne.0.d0.and.eltj.gt.0) then
sij = scrfcn(jn)*fcpair(jn)
delij(1) = x(1,j) - xitmp
delij(2) = x(2,j) - yitmp
delij(3) = x(3,j) - zitmp
rij2 = delij(1)*delij(1) + delij(2)*delij(2)
$ + delij(3)*delij(3)
if (rij2.lt.cutforcesq) then
rij = sqrt(rij2)
r = rij
c Compute phi and phip
ind = eltind(elti,eltj)
pp = rij*rdrar + 1.0D0
kk = pp
kk = min(kk,nrar-1)
pp = pp - kk
pp = min(pp,1.0D0)
phi = ((phirar3(kk,ind)*pp + phirar2(kk,ind))*pp
$ + phirar1(kk,ind))*pp + phirar(kk,ind)
phip = (phirar6(kk,ind)*pp + phirar5(kk,ind))*pp
$ + phirar4(kk,ind)
recip = 1.0d0/r
if (eflag_either.ne.0) then
if (eflag_global.ne.0) eng_vdwl = eng_vdwl + phi*sij
if (eflag_atom.ne.0) then
eatom(i) = eatom(i) + 0.5*phi*sij
eatom(j) = eatom(j) + 0.5*phi*sij
ind = eltind(elti,eltj)
pp = rij*rdrar + 1.0D0
kk = pp
kk = min(kk,nrar-1)
pp = pp - kk
pp = min(pp,1.0D0)
phi = ((phirar3(kk,ind)*pp + phirar2(kk,ind))*pp
$ + phirar1(kk,ind))*pp + phirar(kk,ind)
phip = (phirar6(kk,ind)*pp + phirar5(kk,ind))*pp
$ + phirar4(kk,ind)
recip = 1.0d0/r
if (eflag_either.ne.0) then
if (eflag_global.ne.0) eng_vdwl = eng_vdwl + phi*sij
if (eflag_atom.ne.0) then
eatom(i) = eatom(i) + 0.5*phi*sij
eatom(j) = eatom(j) + 0.5*phi*sij
endif
endif
endif
c write(1,*) "force_meamf: phi: ",phi
c write(1,*) "force_meamf: phip: ",phip
c Compute pair densities and derivatives
invrei = 1.d0/re_meam(elti,elti)
ai = rij*invrei - 1.d0
ro0i = rho0_meam(elti)
rhoa0i = ro0i*exp(-beta0_meam(elti)*ai)
drhoa0i = -beta0_meam(elti)*invrei*rhoa0i
rhoa1i = ro0i*exp(-beta1_meam(elti)*ai)
drhoa1i = -beta1_meam(elti)*invrei*rhoa1i
rhoa2i = ro0i*exp(-beta2_meam(elti)*ai)
drhoa2i = -beta2_meam(elti)*invrei*rhoa2i
rhoa3i = ro0i*exp(-beta3_meam(elti)*ai)
drhoa3i = -beta3_meam(elti)*invrei*rhoa3i
if (elti.ne.eltj) then
invrej = 1.d0/re_meam(eltj,eltj)
aj = rij*invrej - 1.d0
ro0j = rho0_meam(eltj)
rhoa0j = ro0j*exp(-beta0_meam(eltj)*aj)
drhoa0j = -beta0_meam(eltj)*invrej*rhoa0j
rhoa1j = ro0j*exp(-beta1_meam(eltj)*aj)
drhoa1j = -beta1_meam(eltj)*invrej*rhoa1j
rhoa2j = ro0j*exp(-beta2_meam(eltj)*aj)
drhoa2j = -beta2_meam(eltj)*invrej*rhoa2j
rhoa3j = ro0j*exp(-beta3_meam(eltj)*aj)
drhoa3j = -beta3_meam(eltj)*invrej*rhoa3j
else
rhoa0j = rhoa0i
drhoa0j = drhoa0i
rhoa1j = rhoa1i
drhoa1j = drhoa1i
rhoa2j = rhoa2i
drhoa2j = drhoa2i
rhoa3j = rhoa3i
drhoa3j = drhoa3i
endif
nv2 = 1
nv3 = 1
arg1i1 = 0.d0
arg1j1 = 0.d0
arg1i2 = 0.d0
arg1j2 = 0.d0
arg1i3 = 0.d0
arg1j3 = 0.d0
arg3i3 = 0.d0
arg3j3 = 0.d0
do n = 1,3
do p = n,3
do q = p,3
arg = delij(n)*delij(p)*delij(q)*v3D(nv3)
arg1i3 = arg1i3 + Arho3(nv3,i)*arg
arg1j3 = arg1j3 - Arho3(nv3,j)*arg
nv3 = nv3+1
enddo
arg = delij(n)*delij(p)*v2D(nv2)
arg1i2 = arg1i2 + Arho2(nv2,i)*arg
arg1j2 = arg1j2 + Arho2(nv2,j)*arg
nv2 = nv2+1
enddo
arg1i1 = arg1i1 + Arho1(n,i)*delij(n)
arg1j1 = arg1j1 - Arho1(n,j)*delij(n)
arg3i3 = arg3i3 + Arho3b(n,i)*delij(n)
arg3j3 = arg3j3 - Arho3b(n,j)*delij(n)
enddo
c rho0 terms
drho0dr1 = drhoa0j * sij
drho0dr2 = drhoa0i * sij
c rho1 terms
a1 = 2*sij/rij
drho1dr1 = a1*(drhoa1j-rhoa1j/rij)*arg1i1
drho1dr2 = a1*(drhoa1i-rhoa1i/rij)*arg1j1
a1 = 2.d0*sij/rij
do m = 1,3
drho1drm1(m) = a1*rhoa1j*Arho1(m,i)
drho1drm2(m) = -a1*rhoa1i*Arho1(m,j)
enddo
c rho2 terms
a2 = 2*sij/rij2
drho2dr1 = a2*(drhoa2j - 2*rhoa2j/rij)*arg1i2
$ - 2.d0/3.d0*Arho2b(i)*drhoa2j*sij
drho2dr2 = a2*(drhoa2i - 2*rhoa2i/rij)*arg1j2
$ - 2.d0/3.d0*Arho2b(j)*drhoa2i*sij
a2 = 4*sij/rij2
do m = 1,3
drho2drm1(m) = 0.d0
drho2drm2(m) = 0.d0
do n = 1,3
drho2drm1(m) = drho2drm1(m)
$ + Arho2(vind2D(m,n),i)*delij(n)
drho2drm2(m) = drho2drm2(m)
$ - Arho2(vind2D(m,n),j)*delij(n)
enddo
drho2drm1(m) = a2*rhoa2j*drho2drm1(m)
drho2drm2(m) = -a2*rhoa2i*drho2drm2(m)
enddo
c rho3 terms
rij3 = rij*rij2
a3 = 2*sij/rij3
a3a = 6.d0/5.d0*sij/rij
drho3dr1 = a3*(drhoa3j - 3*rhoa3j/rij)*arg1i3
$ - a3a*(drhoa3j - rhoa3j/rij)*arg3i3
drho3dr2 = a3*(drhoa3i - 3*rhoa3i/rij)*arg1j3
$ - a3a*(drhoa3i - rhoa3i/rij)*arg3j3
a3 = 6*sij/rij3
a3a = 6*sij/(5*rij)
do m = 1,3
drho3drm1(m) = 0.d0
drho3drm2(m) = 0.d0
invrei = 1.d0/re_meam(elti,elti)
ai = rij*invrei - 1.d0
ro0i = rho0_meam(elti)
rhoa0i = ro0i*exp(-beta0_meam(elti)*ai)
drhoa0i = -beta0_meam(elti)*invrei*rhoa0i
rhoa1i = ro0i*exp(-beta1_meam(elti)*ai)
drhoa1i = -beta1_meam(elti)*invrei*rhoa1i
rhoa2i = ro0i*exp(-beta2_meam(elti)*ai)
drhoa2i = -beta2_meam(elti)*invrei*rhoa2i
rhoa3i = ro0i*exp(-beta3_meam(elti)*ai)
drhoa3i = -beta3_meam(elti)*invrei*rhoa3i
if (elti.ne.eltj) then
invrej = 1.d0/re_meam(eltj,eltj)
aj = rij*invrej - 1.d0
ro0j = rho0_meam(eltj)
rhoa0j = ro0j*exp(-beta0_meam(eltj)*aj)
drhoa0j = -beta0_meam(eltj)*invrej*rhoa0j
rhoa1j = ro0j*exp(-beta1_meam(eltj)*aj)
drhoa1j = -beta1_meam(eltj)*invrej*rhoa1j
rhoa2j = ro0j*exp(-beta2_meam(eltj)*aj)
drhoa2j = -beta2_meam(eltj)*invrej*rhoa2j
rhoa3j = ro0j*exp(-beta3_meam(eltj)*aj)
drhoa3j = -beta3_meam(eltj)*invrej*rhoa3j
else
rhoa0j = rhoa0i
drhoa0j = drhoa0i
rhoa1j = rhoa1i
drhoa1j = drhoa1i
rhoa2j = rhoa2i
drhoa2j = drhoa2i
rhoa3j = rhoa3i
drhoa3j = drhoa3i
endif
nv2 = 1
nv3 = 1
arg1i1 = 0.d0
arg1j1 = 0.d0
arg1i2 = 0.d0
arg1j2 = 0.d0
arg1i3 = 0.d0
arg1j3 = 0.d0
arg3i3 = 0.d0
arg3j3 = 0.d0
do n = 1,3
do p = n,3
do q = p,3
arg = delij(n)*delij(p)*delij(q)*v3D(nv3)
arg1i3 = arg1i3 + Arho3(nv3,i)*arg
arg1j3 = arg1j3 - Arho3(nv3,j)*arg
nv3 = nv3+1
enddo
arg = delij(n)*delij(p)*v2D(nv2)
drho3drm1(m) = drho3drm1(m)
$ + Arho3(vind3D(m,n,p),i)*arg
drho3drm2(m) = drho3drm2(m)
$ + Arho3(vind3D(m,n,p),j)*arg
nv2 = nv2 + 1
arg1i2 = arg1i2 + Arho2(nv2,i)*arg
arg1j2 = arg1j2 + Arho2(nv2,j)*arg
nv2 = nv2+1
enddo
arg1i1 = arg1i1 + Arho1(n,i)*delij(n)
arg1j1 = arg1j1 - Arho1(n,j)*delij(n)
arg3i3 = arg3i3 + Arho3b(n,i)*delij(n)
arg3j3 = arg3j3 - Arho3b(n,j)*delij(n)
enddo
c rho0 terms
drho0dr1 = drhoa0j * sij
drho0dr2 = drhoa0i * sij
c rho1 terms
a1 = 2*sij/rij
drho1dr1 = a1*(drhoa1j-rhoa1j/rij)*arg1i1
drho1dr2 = a1*(drhoa1i-rhoa1i/rij)*arg1j1
a1 = 2.d0*sij/rij
do m = 1,3
drho1drm1(m) = a1*rhoa1j*Arho1(m,i)
drho1drm2(m) = -a1*rhoa1i*Arho1(m,j)
enddo
c rho2 terms
a2 = 2*sij/rij2
drho2dr1 = a2*(drhoa2j - 2*rhoa2j/rij)*arg1i2
$ - 2.d0/3.d0*Arho2b(i)*drhoa2j*sij
drho2dr2 = a2*(drhoa2i - 2*rhoa2i/rij)*arg1j2
$ - 2.d0/3.d0*Arho2b(j)*drhoa2i*sij
a2 = 4*sij/rij2
do m = 1,3
drho2drm1(m) = 0.d0
drho2drm2(m) = 0.d0
do n = 1,3
drho2drm1(m) = drho2drm1(m)
$ + Arho2(vind2D(m,n),i)*delij(n)
drho2drm2(m) = drho2drm2(m)
$ - Arho2(vind2D(m,n),j)*delij(n)
enddo
drho2drm1(m) = a2*rhoa2j*drho2drm1(m)
drho2drm2(m) = -a2*rhoa2i*drho2drm2(m)
enddo
c rho3 terms
rij3 = rij*rij2
a3 = 2*sij/rij3
a3a = 6.d0/5.d0*sij/rij
drho3dr1 = a3*(drhoa3j - 3*rhoa3j/rij)*arg1i3
$ - a3a*(drhoa3j - rhoa3j/rij)*arg3i3
drho3dr2 = a3*(drhoa3i - 3*rhoa3i/rij)*arg1j3
$ - a3a*(drhoa3i - rhoa3i/rij)*arg3j3
a3 = 6*sij/rij3
a3a = 6*sij/(5*rij)
do m = 1,3
drho3drm1(m) = 0.d0
drho3drm2(m) = 0.d0
nv2 = 1
do n = 1,3
do p = n,3
arg = delij(n)*delij(p)*v2D(nv2)
drho3drm1(m) = drho3drm1(m)
$ + Arho3(vind3D(m,n,p),i)*arg
drho3drm2(m) = drho3drm2(m)
$ + Arho3(vind3D(m,n,p),j)*arg
nv2 = nv2 + 1
enddo
enddo
drho3drm1(m) = (a3*drho3drm1(m) - a3a*Arho3b(m,i))
$ *rhoa3j
drho3drm2(m) = (-a3*drho3drm2(m) + a3a*Arho3b(m,j))
$ *rhoa3i
enddo
drho3drm1(m) = (a3*drho3drm1(m) - a3a*Arho3b(m,i))
$ *rhoa3j
drho3drm2(m) = (-a3*drho3drm2(m) + a3a*Arho3b(m,j))
$ *rhoa3i
enddo
c Compute derivatives of weighting functions t wrt rij
t1i = t_ave(1,i)
t2i = t_ave(2,i)
t3i = t_ave(3,i)
t1j = t_ave(1,j)
t2j = t_ave(2,j)
t3j = t_ave(3,j)
ai = 0.d0
if( rho0(i) .ne. 0.d0 ) then
ai = drhoa0j*sij/rho0(i)
end if
aj = 0.d0
if( rho0(j) .ne. 0.d0 ) then
aj = drhoa0i*sij/rho0(j)
end if
dt1dr1 = ai*(t1_meam(eltj)-t1i)
dt1dr2 = aj*(t1_meam(elti)-t1j)
dt2dr1 = ai*(t2_meam(eltj)-t2i)
dt2dr2 = aj*(t2_meam(elti)-t2j)
dt3dr1 = ai*(t3_meam(eltj)-t3i)
dt3dr2 = aj*(t3_meam(elti)-t3j)
c Compute derivatives of total density wrt rij, sij and rij(3)
call get_shpfcn(shpi,lattce_meam(elti,elti))
call get_shpfcn(shpj,lattce_meam(eltj,eltj))
drhodr1 = dGamma1(i)*drho0dr1
$ + dGamma2(i)*
$ (dt1dr1*rho1(i)+t1i*drho1dr1
$ + dt2dr1*rho2(i)+t2i*drho2dr1
$ + dt3dr1*rho3(i)+t3i*drho3dr1)
$ - dGamma3(i)*
$ (shpi(1)*dt1dr1+shpi(2)*dt2dr1+shpi(3)*dt3dr1)
drhodr2 = dGamma1(j)*drho0dr2
$ + dGamma2(j)*
$ (dt1dr2*rho1(j)+t1j*drho1dr2
$ + dt2dr2*rho2(j)+t2j*drho2dr2
$ + dt3dr2*rho3(j)+t3j*drho3dr2)
$ - dGamma3(j)*
$ (shpj(1)*dt1dr2+shpj(2)*dt2dr2+shpj(3)*dt3dr2)
do m = 1,3
drhodrm1(m) = 0.d0
drhodrm2(m) = 0.d0
drhodrm1(m) = dGamma2(i)*
$ (t1i*drho1drm1(m)
$ + t2i*drho2drm1(m)
$ + t3i*drho3drm1(m))
drhodrm2(m) = dGamma2(j)*
$ (t1j*drho1drm2(m)
$ + t2j*drho2drm2(m)
$ + t3j*drho3drm2(m))
enddo
c Compute derivatives wrt sij, but only if necessary
if (dscrfcn(jn).ne.0.d0) then
drho0ds1 = rhoa0j
drho0ds2 = rhoa0i
a1 = 2.d0/rij
drho1ds1 = a1*rhoa1j*arg1i1
drho1ds2 = a1*rhoa1i*arg1j1
a2 = 2.d0/rij2
drho2ds1 = a2*rhoa2j*arg1i2
$ - 2.d0/3.d0*Arho2b(i)*rhoa2j
drho2ds2 = a2*rhoa2i*arg1j2
$ - 2.d0/3.d0*Arho2b(j)*rhoa2i
a3 = 2.d0/rij3
a3a = 6.d0/(5.d0*rij)
drho3ds1 = a3*rhoa3j*arg1i3 - a3a*rhoa3j*arg3i3
drho3ds2 = a3*rhoa3i*arg1j3 - a3a*rhoa3i*arg3j3
t1i = t_ave(1,i)
t2i = t_ave(2,i)
t3i = t_ave(3,i)
t1j = t_ave(1,j)
t2j = t_ave(2,j)
t3j = t_ave(3,j)
ai = 0.d0
if( rho0(i) .ne. 0.d0 ) then
ai = rhoa0j/rho0(i)
ai = drhoa0j*sij/rho0(i)
end if
aj = 0.d0
if( rho0(j) .ne. 0.d0 ) then
aj = rhoa0i/rho0(j)
aj = drhoa0i*sij/rho0(j)
end if
dt1ds1 = ai*(t1_meam(eltj)-t1i)
dt1ds2 = aj*(t1_meam(elti)-t1j)
dt2ds1 = ai*(t2_meam(eltj)-t2i)
dt2ds2 = aj*(t2_meam(elti)-t2j)
dt3ds1 = ai*(t3_meam(eltj)-t3i)
dt3ds2 = aj*(t3_meam(elti)-t3j)
drhods1 = dGamma1(i)*drho0ds1
dt1dr1 = ai*(t1_meam(eltj)-t1i)
dt1dr2 = aj*(t1_meam(elti)-t1j)
dt2dr1 = ai*(t2_meam(eltj)-t2i)
dt2dr2 = aj*(t2_meam(elti)-t2j)
dt3dr1 = ai*(t3_meam(eltj)-t3i)
dt3dr2 = aj*(t3_meam(elti)-t3j)
c Compute derivatives of total density wrt rij, sij and rij(3)
call get_shpfcn(shpi,lattce_meam(elti,elti))
call get_shpfcn(shpj,lattce_meam(eltj,eltj))
drhodr1 = dGamma1(i)*drho0dr1
$ + dGamma2(i)*
$ (dt1ds1*rho1(i)+t1i*drho1ds1
$ + dt2ds1*rho2(i)+t2i*drho2ds1
$ + dt3ds1*rho3(i)+t3i*drho3ds1)
$ (dt1dr1*rho1(i)+t1i*drho1dr1
$ + dt2dr1*rho2(i)+t2i*drho2dr1
$ + dt3dr1*rho3(i)+t3i*drho3dr1)
$ - dGamma3(i)*
$ (shpi(1)*dt1ds1+shpi(2)*dt2ds1+shpi(3)*dt3ds1)
drhods2 = dGamma1(j)*drho0ds2
$ (shpi(1)*dt1dr1+shpi(2)*dt2dr1+shpi(3)*dt3dr1)
drhodr2 = dGamma1(j)*drho0dr2
$ + dGamma2(j)*
$ (dt1ds2*rho1(j)+t1j*drho1ds2
$ + dt2ds2*rho2(j)+t2j*drho2ds2
$ + dt3ds2*rho3(j)+t3j*drho3ds2)
$ (dt1dr2*rho1(j)+t1j*drho1dr2
$ + dt2dr2*rho2(j)+t2j*drho2dr2
$ + dt3dr2*rho3(j)+t3j*drho3dr2)
$ - dGamma3(j)*
$ (shpj(1)*dt1ds2+shpj(2)*dt2ds2+shpj(3)*dt3ds2)
endif
$ (shpj(1)*dt1dr2+shpj(2)*dt2dr2+shpj(3)*dt3dr2)
do m = 1,3
drhodrm1(m) = 0.d0
drhodrm2(m) = 0.d0
drhodrm1(m) = dGamma2(i)*
$ (t1i*drho1drm1(m)
$ + t2i*drho2drm1(m)
$ + t3i*drho3drm1(m))
drhodrm2(m) = dGamma2(j)*
$ (t1j*drho1drm2(m)
$ + t2j*drho2drm2(m)
$ + t3j*drho3drm2(m))
enddo
c Compute derivatives wrt sij, but only if necessary
if (dscrfcn(jn).ne.0.d0) then
drho0ds1 = rhoa0j
drho0ds2 = rhoa0i
a1 = 2.d0/rij
drho1ds1 = a1*rhoa1j*arg1i1
drho1ds2 = a1*rhoa1i*arg1j1
a2 = 2.d0/rij2
drho2ds1 = a2*rhoa2j*arg1i2
$ - 2.d0/3.d0*Arho2b(i)*rhoa2j
drho2ds2 = a2*rhoa2i*arg1j2
$ - 2.d0/3.d0*Arho2b(j)*rhoa2i
a3 = 2.d0/rij3
a3a = 6.d0/(5.d0*rij)
drho3ds1 = a3*rhoa3j*arg1i3 - a3a*rhoa3j*arg3i3
drho3ds2 = a3*rhoa3i*arg1j3 - a3a*rhoa3i*arg3j3
ai = 0.d0
if( rho0(i) .ne. 0.d0 ) then
ai = rhoa0j/rho0(i)
end if
aj = 0.d0
if( rho0(j) .ne. 0.d0 ) then
aj = rhoa0i/rho0(j)
end if
dt1ds1 = ai*(t1_meam(eltj)-t1i)
dt1ds2 = aj*(t1_meam(elti)-t1j)
dt2ds1 = ai*(t2_meam(eltj)-t2i)
dt2ds2 = aj*(t2_meam(elti)-t2j)
dt3ds1 = ai*(t3_meam(eltj)-t3i)
dt3ds2 = aj*(t3_meam(elti)-t3j)
drhods1 = dGamma1(i)*drho0ds1
$ + dGamma2(i)*
$ (dt1ds1*rho1(i)+t1i*drho1ds1
$ + dt2ds1*rho2(i)+t2i*drho2ds1
$ + dt3ds1*rho3(i)+t3i*drho3ds1)
$ - dGamma3(i)*
$ (shpi(1)*dt1ds1+shpi(2)*dt2ds1+shpi(3)*dt3ds1)
drhods2 = dGamma1(j)*drho0ds2
$ + dGamma2(j)*
$ (dt1ds2*rho1(j)+t1j*drho1ds2
$ + dt2ds2*rho2(j)+t2j*drho2ds2
$ + dt3ds2*rho3(j)+t3j*drho3ds2)
$ - dGamma3(j)*
$ (shpj(1)*dt1ds2+shpj(2)*dt2ds2+shpj(3)*dt3ds2)
endif
c Compute derivatives of energy wrt rij, sij and rij(3)
dUdrij = phip*sij
$ + fp(i)*drhodr1 + fp(j)*drhodr2
dUdsij = 0.d0
if (dscrfcn(jn).ne.0.d0) then
dUdsij = phi
$ + fp(i)*drhods1 + fp(j)*drhods2
endif
do m = 1,3
dUdrijm(m) = fp(i)*drhodrm1(m) + fp(j)*drhodrm2(m)
enddo
dUdrij = phip*sij
$ + fp(i)*drhodr1 + fp(j)*drhodr2
dUdsij = 0.d0
if (dscrfcn(jn).ne.0.d0) then
dUdsij = phi
$ + fp(i)*drhods1 + fp(j)*drhods2
endif
do m = 1,3
dUdrijm(m) = fp(i)*drhodrm1(m) + fp(j)*drhodrm2(m)
enddo
c Add the part of the force due to dUdrij and dUdsij
force = dUdrij*recip + dUdsij*dscrfcn(jn)
do m = 1,3
forcem = delij(m)*force + dUdrijm(m)
f(m,i) = f(m,i) + forcem
f(m,j) = f(m,j) - forcem
enddo
force = dUdrij*recip + dUdsij*dscrfcn(jn)
do m = 1,3
forcem = delij(m)*force + dUdrijm(m)
f(m,i) = f(m,i) + forcem
f(m,j) = f(m,j) - forcem
enddo
c Tabulate per-atom virial as symmetrized stress tensor
if (vflag_atom.ne.0) then
fi(1) = delij(1)*force + dUdrijm(1)
fi(2) = delij(2)*force + dUdrijm(2)
fi(3) = delij(3)*force + dUdrijm(3)
v(1) = -0.5 * (delij(1) * fi(1))
v(2) = -0.5 * (delij(2) * fi(2))
v(3) = -0.5 * (delij(3) * fi(3))
v(4) = -0.25 * (delij(1)*fi(2) + delij(2)*fi(1))
v(5) = -0.25 * (delij(1)*fi(3) + delij(3)*fi(1))
v(6) = -0.25 * (delij(2)*fi(3) + delij(3)*fi(2))
if (vflag_atom.ne.0) then
fi(1) = delij(1)*force + dUdrijm(1)
fi(2) = delij(2)*force + dUdrijm(2)
fi(3) = delij(3)*force + dUdrijm(3)
v(1) = -0.5 * (delij(1) * fi(1))
v(2) = -0.5 * (delij(2) * fi(2))
v(3) = -0.5 * (delij(3) * fi(3))
v(4) = -0.25 * (delij(1)*fi(2) + delij(2)*fi(1))
v(5) = -0.25 * (delij(1)*fi(3) + delij(3)*fi(1))
v(6) = -0.25 * (delij(2)*fi(3) + delij(3)*fi(2))
vatom(1,i) = vatom(1,i) + v(1)
vatom(2,i) = vatom(2,i) + v(2)
vatom(3,i) = vatom(3,i) + v(3)
vatom(4,i) = vatom(4,i) + v(4)
vatom(5,i) = vatom(5,i) + v(5)
vatom(6,i) = vatom(6,i) + v(6)
vatom(1,j) = vatom(1,j) + v(1)
vatom(2,j) = vatom(2,j) + v(2)
vatom(3,j) = vatom(3,j) + v(3)
vatom(4,j) = vatom(4,j) + v(4)
vatom(5,j) = vatom(5,j) + v(5)
vatom(6,j) = vatom(6,j) + v(6)
endif
vatom(1,i) = vatom(1,i) + v(1)
vatom(2,i) = vatom(2,i) + v(2)
vatom(3,i) = vatom(3,i) + v(3)
vatom(4,i) = vatom(4,i) + v(4)
vatom(5,i) = vatom(5,i) + v(5)
vatom(6,i) = vatom(6,i) + v(6)
vatom(1,j) = vatom(1,j) + v(1)
vatom(2,j) = vatom(2,j) + v(2)
vatom(3,j) = vatom(3,j) + v(3)
vatom(4,j) = vatom(4,j) + v(4)
vatom(5,j) = vatom(5,j) + v(5)
vatom(6,j) = vatom(6,j) + v(6)
endif
c Now compute forces on other atoms k due to change in sij
if (sij.eq.0.d0.or.sij.eq.1.d0) goto 100
do kn = 1,numneigh_full
k = firstneigh_full(kn)
if (k.ne.j) then
call dsij(i,j,k,jn,nmax,numneigh,rij2,dsij1,dsij2,
$ ntype,type,fmap,x,scrfcn,fcpair)
if (dsij1.ne.0.d0.or.dsij2.ne.0.d0) then
force1 = dUdsij*dsij1
force2 = dUdsij*dsij2
do m = 1,3
delik(m) = x(m,k) - x(m,i)
deljk(m) = x(m,k) - x(m,j)
enddo
do m = 1,3
f(m,i) = f(m,i) + force1*delik(m)
f(m,j) = f(m,j) + force2*deljk(m)
f(m,k) = f(m,k) - force1*delik(m)
$ - force2*deljk(m)
enddo
if (sij.eq.0.d0.or.sij.eq.1.d0) goto 100
do kn = 1,numneigh_full
k = firstneigh_full(kn)
eltk = fmap(type(k))
if (k.ne.j.and.eltk.gt.0) then
call dsij(i,j,k,jn,nmax,numneigh,rij2,dsij1,dsij2,
$ ntype,type,fmap,x,scrfcn,fcpair)
if (dsij1.ne.0.d0.or.dsij2.ne.0.d0) then
force1 = dUdsij*dsij1
force2 = dUdsij*dsij2
do m = 1,3
delik(m) = x(m,k) - x(m,i)
deljk(m) = x(m,k) - x(m,j)
enddo
do m = 1,3
f(m,i) = f(m,i) + force1*delik(m)
f(m,j) = f(m,j) + force2*deljk(m)
f(m,k) = f(m,k) - force1*delik(m)
$ - force2*deljk(m)
enddo
c Tabulate per-atom virial as symmetrized stress tensor
if (vflag_atom.ne.0) then
fi(1) = force1*delik(1)
fi(2) = force1*delik(2)
fi(3) = force1*delik(3)
fj(1) = force2*deljk(1)
fj(2) = force2*deljk(2)
fj(3) = force2*deljk(3)
v(1) = -third * (delik(1)*fi(1) + deljk(1)*fj(1))
v(2) = -third * (delik(2)*fi(2) + deljk(2)*fj(2))
v(3) = -third * (delik(3)*fi(3) + deljk(3)*fj(3))
v(4) = -sixth * (delik(1)*fi(2) + deljk(1)*fj(2) +
$ delik(2)*fi(1) + deljk(2)*fj(1))
v(5) = -sixth * (delik(1)*fi(3) + deljk(1)*fj(3) +
$ delik(3)*fi(1) + deljk(3)*fj(1))
v(6) = -sixth * (delik(2)*fi(3) + deljk(2)*fj(3) +
$ delik(3)*fi(2) + deljk(3)*fj(2))
if (vflag_atom.ne.0) then
fi(1) = force1*delik(1)
fi(2) = force1*delik(2)
fi(3) = force1*delik(3)
fj(1) = force2*deljk(1)
fj(2) = force2*deljk(2)
fj(3) = force2*deljk(3)
v(1) = -third * (delik(1)*fi(1) + deljk(1)*fj(1))
v(2) = -third * (delik(2)*fi(2) + deljk(2)*fj(2))
v(3) = -third * (delik(3)*fi(3) + deljk(3)*fj(3))
v(4) = -sixth * (delik(1)*fi(2) + deljk(1)*fj(2) +
$ delik(2)*fi(1) + deljk(2)*fj(1))
v(5) = -sixth * (delik(1)*fi(3) + deljk(1)*fj(3) +
$ delik(3)*fi(1) + deljk(3)*fj(1))
v(6) = -sixth * (delik(2)*fi(3) + deljk(2)*fj(3) +
$ delik(3)*fi(2) + deljk(3)*fj(2))
vatom(1,i) = vatom(1,i) + v(1)
vatom(2,i) = vatom(2,i) + v(2)
vatom(3,i) = vatom(3,i) + v(3)
vatom(4,i) = vatom(4,i) + v(4)
vatom(5,i) = vatom(5,i) + v(5)
vatom(6,i) = vatom(6,i) + v(6)
vatom(1,j) = vatom(1,j) + v(1)
vatom(2,j) = vatom(2,j) + v(2)
vatom(3,j) = vatom(3,j) + v(3)
vatom(4,j) = vatom(4,j) + v(4)
vatom(5,j) = vatom(5,j) + v(5)
vatom(6,j) = vatom(6,j) + v(6)
vatom(1,k) = vatom(1,k) + v(1)
vatom(2,k) = vatom(2,k) + v(2)
vatom(3,k) = vatom(3,k) + v(3)
vatom(4,k) = vatom(4,k) + v(4)
vatom(5,k) = vatom(5,k) + v(5)
vatom(6,k) = vatom(6,k) + v(6)
endif
vatom(1,i) = vatom(1,i) + v(1)
vatom(2,i) = vatom(2,i) + v(2)
vatom(3,i) = vatom(3,i) + v(3)
vatom(4,i) = vatom(4,i) + v(4)
vatom(5,i) = vatom(5,i) + v(5)
vatom(6,i) = vatom(6,i) + v(6)
vatom(1,j) = vatom(1,j) + v(1)
vatom(2,j) = vatom(2,j) + v(2)
vatom(3,j) = vatom(3,j) + v(3)
vatom(4,j) = vatom(4,j) + v(4)
vatom(5,j) = vatom(5,j) + v(5)
vatom(6,j) = vatom(6,j) + v(6)
vatom(1,k) = vatom(1,k) + v(1)
vatom(2,k) = vatom(2,k) + v(2)
vatom(3,k) = vatom(3,k) + v(3)
vatom(4,k) = vatom(4,k) + v(4)
vatom(5,k) = vatom(5,k) + v(5)
vatom(6,k) = vatom(6,k) + v(6)
endif
endif
endif
c end of k loop
enddo
enddo
endif
100 continue
endif
100 continue
endif
c end of j loop
enddo
enddo
c else if elti=0, this is not a meam atom
endif
return
end