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lammps/lib/meam/meam_dens_final.F
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meam_dens_final.F
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c Extern "C" declaration has the form:
c
c void meam_dens_final_(int *, int *, int *, int *, int *, double *, double *,
c int *, int *, int *,
c double *, double *, double *, double *, double *, double *,
c double *, double *, double *, double *, double *, double *,
c double *, double *, double *, double *, double *, int *);
c
c Call from pair_meam.cpp has the form:
c
c meam_dens_final_(&nlocal,&nmax,&eflag_either,&eflag_global,&eflag_atom,
c &eng_vdwl,eatom,ntype,type,fmap,
c &arho1[0][0],&arho2[0][0],arho2b,&arho3[0][0],
c &arho3b[0][0],&t_ave[0][0],&tsq_ave[0][0],gamma,dgamma1,
c dgamma2,dgamma3,rho,rho0,rho1,rho2,rho3,frhop,&errorflag);
c
subroutine meam_dens_final(nlocal, nmax,
$ eflag_either, eflag_global, eflag_atom, eng_vdwl, eatom,
$ ntype, type, fmap,
$ Arho1, Arho2, Arho2b, Arho3, Arho3b, t_ave, tsq_ave,
$ Gamma, dGamma1, dGamma2, dGamma3,
$ rho, rho0, rho1, rho2, rho3, fp, errorflag)
use meam_data
implicit none
integer nlocal, nmax, eflag_either, eflag_global, eflag_atom
integer ntype, type, fmap
real*8 eng_vdwl, eatom, Arho1, Arho2
real*8 Arho2b, Arho3, Arho3b
real*8 t_ave, tsq_ave
real*8 Gamma, dGamma1, dGamma2, dGamma3
real*8 rho, rho0, rho1, rho2, rho3
real*8 fp
integer errorflag
dimension eatom(nmax)
dimension type(nmax), fmap(ntype)
dimension Arho1(3,nmax), Arho2(6,nmax), Arho2b(nmax)
dimension Arho3(10,nmax), Arho3b(3,nmax), t_ave(3,nmax)
dimension tsq_ave(3,nmax)
dimension Gamma(nmax), dGamma1(nmax), dGamma2(nmax)
dimension dGamma3(nmax), rho(nmax), rho0(nmax)
dimension rho1(nmax), rho2(nmax), rho3(nmax)
dimension fp(nmax)
integer i, elti
integer m
real*8 rhob, G, dG, Gbar, dGbar, gam, shp(3), shpi(3), Z
real*8 B, denom, rho_bkgd
c Complete the calculation of density
do i = 1,nlocal
elti = fmap(type(i))
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
if (ialloy.eq.1) then
t_ave(1,i) = t_ave(1,i)/tsq_ave(1,i)
t_ave(2,i) = t_ave(2,i)/tsq_ave(2,i)
t_ave(3,i) = t_ave(3,i)/tsq_ave(3,i)
else if (ialloy.eq.2) then
t_ave(1,i) = t1_meam(elti)
t_ave(2,i) = t2_meam(elti)
t_ave(3,i) = t3_meam(elti)
else
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
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
Z = Z_meam(elti)
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))
if (mix_ref_t.eq.1) then
gam = (t_ave(1,i)*shpi(1)+t_ave(2,i)*shpi(2)
$ +t_ave(3,i)*shpi(3))/(Z*Z)
else
gam = (t1_meam(elti)*shp(1)+t2_meam(elti)*shp(2)
$ +t3_meam(elti)*shp(3))/(Z*Z)
endif
call G_gam(gam,ibar_meam(elti),gsmooth_factor,
$ Gbar,errorflag)
endif
rho(i) = rho0(i) * G
if (mix_ref_t.eq.1) then
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
rho_bkgd = rho0_meam(elti)*Z*Gbar
else
if (bkgd_dyn.eq.1) then
rho_bkgd = rho0_meam(elti)*Z
else
rho_bkgd = rho_ref_meam(elti)
endif
endif
rhob = rho(i)/rho_bkgd
denom = 1.d0/rho_bkgd
call dG_gam(Gamma(i),ibar_meam(elti),gsmooth_factor,G,dG)
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
c dGamma3 is nonzero only if we are using the "mixed" rule for
c computing t in the reference system (which is not correct, but
c included for backward compatibility
if (mix_ref_t.eq.1) then
dGamma3(i) = rho0(i)*G*dGbar/(Gbar*Z*Z)*denom
else
dGamma3(i) = 0.0
endif
B = A_meam(elti)*Ec_meam(elti,elti)
if( rhob .ne. 0.d0 ) then
if (emb_lin_neg.eq.1 .and. rhob.le.0) then
fp(i) = -B
else
fp(i) = B*(log(rhob)+1.d0)
endif
if (eflag_either.ne.0) then
if (eflag_global.ne.0) then
if (emb_lin_neg.eq.1 .and. rhob.le.0) then
eng_vdwl = eng_vdwl - B*rhob
else
eng_vdwl = eng_vdwl + B*rhob*log(rhob)
endif
endif
if (eflag_atom.ne.0) then
if (emb_lin_neg.eq.1 .and. rhob.le.0) then
eatom(i) = eatom(i) - B*rhob
else
eatom(i) = eatom(i) + B*rhob*log(rhob)
endif
endif
endif
else
if (emb_lin_neg.eq.1) then
fp(i) = -B
else
fp(i) = B
endif
endif
endif
enddo
return
end
cccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccc
subroutine G_gam(Gamma,ibar,gsmooth_factor,G,errorflag)
c Compute G(Gamma) based on selection flag ibar:
c 0 => G = sqrt(1+Gamma)
c 1 => G = exp(Gamma/2)
c 2 => not implemented
c 3 => G = 2/(1+exp(-Gamma))
c 4 => G = sqrt(1+Gamma)
c -5 => G = +-sqrt(abs(1+Gamma))
use meam_data , only: fm_exp
implicit none
real*8 Gamma,G
real*8 gsmooth_factor, gsmooth_switchpoint
integer ibar, errorflag
if (ibar.eq.0.or.ibar.eq.4) then
gsmooth_switchpoint = -gsmooth_factor / (gsmooth_factor+1)
if (Gamma.lt.gsmooth_switchpoint) then
c e.g. gsmooth_factor is 99, then:
c gsmooth_switchpoint = -0.99
c G = 0.01*(-0.99/Gamma)**99
G = 1/(gsmooth_factor+1)
$ *(gsmooth_switchpoint/Gamma)**gsmooth_factor
G = sqrt(G)
else
G = sqrt(1.d0+Gamma)
endif
else if (ibar.eq.1) then
G = fm_exp(Gamma/2.d0)
else if (ibar.eq.3) then
G = 2.d0/(1.d0+exp(-Gamma))
else if (ibar.eq.-5) then
if ((1.d0+Gamma).ge.0) then
G = sqrt(1.d0+Gamma)
else
G = -sqrt(-1.d0-Gamma)
endif
else
errorflag = 1
endif
return
end
cccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccc
subroutine dG_gam(Gamma,ibar,gsmooth_factor,G,dG)
c Compute G(Gamma) and dG(gamma) based on selection flag ibar:
c 0 => G = sqrt(1+Gamma)
c 1 => G = fm_exp(Gamma/2)
c 2 => not implemented
c 3 => G = 2/(1+fm_exp(-Gamma))
c 4 => G = sqrt(1+Gamma)
c -5 => G = +-sqrt(abs(1+Gamma))
use meam_data , only: fm_exp
real*8 Gamma,G,dG
real*8 gsmooth_factor, gsmooth_switchpoint
integer ibar
if (ibar.eq.0.or.ibar.eq.4) then
gsmooth_switchpoint = -gsmooth_factor / (gsmooth_factor+1)
if (Gamma.lt.gsmooth_switchpoint) then
c e.g. gsmooth_factor is 99, then:
c gsmooth_switchpoint = -0.99
c G = 0.01*(-0.99/Gamma)**99
G = 1/(gsmooth_factor+1)
$ *(gsmooth_switchpoint/Gamma)**gsmooth_factor
G = sqrt(G)
dG = -gsmooth_factor*G/(2.0*Gamma)
else
G = sqrt(1.d0+Gamma)
dG = 1.d0/(2.d0*G)
endif
else if (ibar.eq.1) then
G = fm_exp(Gamma/2.d0)
dG = G/2.d0
else if (ibar.eq.3) then
G = 2.d0/(1.d0+fm_exp(-Gamma))
dG = G*(2.d0-G)/2
else if (ibar.eq.-5) then
if ((1.d0+Gamma).ge.0) then
G = sqrt(1.d0+Gamma)
dG = 1.d0/(2.d0*G)
else
G = -sqrt(-1.d0-Gamma)
dG = -1.d0/(2.d0*G)
endif
endif
return
end
cccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccc
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