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#if HAVE_CONFIG_H
# include "config.fh"
#endif
subroutine cluster_com
#include "common.fh"
c
integer i
double precision masstot, dx, dy, dz
double precision r,rdot,com(10)
c
c This subroutine calculates the center of mass (COM) of the cluster of
c particles of type 2, excluding the lone particle.
c
if (nocluster) return
cl_cmx = 0.0d00
cl_cmy = 0.0d00
cl_cmz = 0.0d00
cl_acmx = 0.0d00
cl_acmy = 0.0d00
cl_acmz = 0.0d00
cl_vcmx = 0.0d00
cl_vcmy = 0.0d00
cl_vcmz = 0.0d00
masstot = 0.0d00
c
do i = 1, antot
c if (at(i).eq.2.and.aidx(i).ne.cl_lone_particle) then
if (at(i).eq.2) then
cl_cmx = cl_cmx + mass(i)*ra(i,1,6)
cl_cmy = cl_cmy + mass(i)*ra(i,2,6)
cl_cmz = cl_cmz + mass(i)*ra(i,3,6)
cl_acmx = cl_acmx + ra(i,1,4)
cl_acmy = cl_acmy + ra(i,2,4)
cl_acmz = cl_acmz + ra(i,3,4)
cl_vcmx = cl_vcmx + mass(i)*ra(i,1,2)
cl_vcmy = cl_vcmy + mass(i)*ra(i,2,2)
cl_vcmz = cl_vcmz + mass(i)*ra(i,3,2)
masstot = masstot + mass(i)
endif
end do
com(1) = cl_cmx
com(2) = cl_cmy
com(3) = cl_cmz
com(4) = cl_vcmx
com(5) = cl_vcmy
com(6) = cl_vcmz
com(7) = cl_acmx
com(8) = cl_acmy
com(9) = cl_acmz
com(10) = masstot
call ga_dgop(3,com,10,'+')
cl_cmx = com(1)
cl_cmy = com(2)
cl_cmz = com(3)
cl_acmx = com(7)
cl_acmy = com(8)
cl_acmz = com(9)
cl_vcmx = com(4)
cl_vcmy = com(5)
cl_vcmz = com(6)
masstot = com(10)
if (masstot.gt.0.0d00) then
cl_cmx = cl_cmx / masstot
cl_cmy = cl_cmy / masstot
cl_cmz = cl_cmz / masstot
cl_acmx = cl_acmx / masstot
cl_acmy = cl_acmy / masstot
cl_acmz = cl_acmz / masstot
cl_vcmx = cl_vcmx / masstot
cl_vcmy = cl_vcmy / masstot
cl_vcmz = cl_vcmz / masstot
endif
cl_mass = masstot
c
return
end
c
subroutine cluster_therm
#include "common.fh"
c
integer i
double precision dx, dy, dz
double precision r,rdot
c
c remove component of velocity that lies along the vector from COM
c to the particle, if particle is outside cluster radius. This gradually
c forces particles to form a drop.
c
if (nocluster) return
if (istep.ge.equil_1) return
call cluster_com
do i = 1, antot
c if (at(i).eq.2.and.aidx(i).ne.cl_lone_particle) then
if (at(i).eq.2) then
dx = ra(i,1,1) - cl_cmx
dy = ra(i,2,1) - cl_cmy
dz = ra(i,3,1) - cl_cmz
r = sqrt(dx**2 + dy**2 + dz**2)
dx = dx/r
dy = dy/r
dz = dz/r
if (r.gt.r_cluster) then
rdot = ra(i,1,2)*dx+ra(i,2,2)*dy+ra(i,3,2)*dz
if (rdot.gt.0.0d00) then
ra(i,1,2) = ra(i,1,2) - 2.0d00*rdot*dx
ra(i,2,2) = ra(i,2,2) - 2.0d00*rdot*dy
ra(i,3,2) = ra(i,3,2) - 2.0d00*rdot*dz
endif
endif
endif
end do
c
return
end
c
subroutine cluster_center
#include "common.fh"
c
c move center of mass to origin (only perform this if it is immediately
c followed by a call to update subroutine)
c
integer i,me
logical debug
if (nocluster) return
if (istep.eq.0.or.(mod(istep,ilist).eq.0.and.
+ t_rmndr.eq.0.0d00)) then
me = ga_nodeid()
if (istep.ge.6932366) then
debug = .false.
else
debug = .false.
endif
if (debug) then
write(6,*) me,' mod(istep,ilist) = ',mod(istep,ilist)
write(6,*) me,' ilist = ',ilist
endif
call cluster_com
if (debug) write(6,*) me,'cl_cmx (a) = ',cl_cmx,istep
if (debug) write(6,*) me,'cl_cmy (a) = ',cl_cmy,istep
if (debug) write(6,*) me,'cl_cmz (a) = ',cl_cmz,istep
do i = 1, antot
ra(i,1,6) = ra(i,1,6) - cl_cmx
ra(i,2,6) = ra(i,2,6) - cl_cmy
ra(i,3,6) = ra(i,3,6) - cl_cmz
end do
call fixper
call cluster_com
if (debug) write(6,*) me,'cl_cmx (b) = ',cl_cmx,istep
if (debug) write(6,*) me,'cl_cmy (b) = ',cl_cmy,istep
if (debug) write(6,*) me,'cl_cmz (b) = ',cl_cmz,istep
endif
return
end
c
subroutine cluster_old_at
#include "common.fh"
c
c store original coordinates of cluster atoms
c
integer i, icnt, jcnt
if (nocluster) return
icnt = 0
jcnt = 0
do i = 1, antot
if (at(i).eq.2) then
icnt = icnt + 1
cl_at(icnt) = i
cl_old(icnt,1,1) = ra(i,1,1)
cl_old(icnt,2,1) = ra(i,2,1)
cl_old(icnt,3,1) = ra(i,3,1)
cl_old(icnt,1,2) = ra(i,1,6)
cl_old(icnt,2,2) = ra(i,2,6)
cl_old(icnt,3,2) = ra(i,3,6)
cl_old(icnt,1,3) = ra(i,1,2)
cl_old(icnt,2,3) = ra(i,2,2)
cl_old(icnt,3,3) = ra(i,3,2)
endif
if (at(i).eq.1) then
jcnt = jcnt + 1
sl_at(jcnt) = i
sl_old(jcnt,1,1) = ra(i,1,1)
sl_old(jcnt,2,1) = ra(i,2,1)
sl_old(jcnt,3,1) = ra(i,3,1)
sl_old(jcnt,1,2) = ra(i,1,6)
sl_old(jcnt,2,2) = ra(i,2,6)
sl_old(jcnt,3,2) = ra(i,3,6)
sl_old(jcnt,1,3) = ra(i,1,2)
sl_old(jcnt,2,3) = ra(i,2,2)
sl_old(jcnt,3,3) = ra(i,3,2)
endif
end do
c
cl_cm_old(1) = cl_cmx
cl_cm_old(2) = cl_cmy
cl_cm_old(3) = cl_cmz
cl_vcm_old(1) = cl_vcmx
cl_vcm_old(2) = cl_vcmy
cl_vcm_old(3) = cl_vcmz
c
do i = 1, 3
cl_alen1_old(i) = alen1(i)
cl_alen2_old(i) = alen2(i)
end do
cl_vol1_old = vol1
cl_vol2_old = vol2
cl_box_old(1) = xbox
cl_box_old(2) = ybox
cl_box_old(3) = zbox
cl_scal1_old = scal1
cl_scal2_old = scal2
c
cl_tot = icnt
sl_tot = jcnt
return
end
c
subroutine cluster_check_cllsn
#include "common.fh"
c
c This subroutine checks to see if any of the cluster particles have moved
c beyond the cutoff radius from the center of mass of the cluster. If they
c have, then the initial guess for the particle coordinates and velocities
c is modified to reflect the collision with the restraining sphere.
c
integer icnt, iat, i, j, ii, jj, iloc, imin, scndat, reset
double precision r, r2, rx, ry, rz, dtmax, tsav
double precision rrx, rry, rrz, vvx, vvy, vvz
double precision vn, vx, vy, vz, fx, fy, fz, mu, v2, f2
double precision vrdot, frdot, vfdot, a, b, c
double precision t1, t2, tcut, comm(4), tmax, htausq
double precision rnx, rny, rnz, vpx, vpy, vpz, vllx, vlly, vllz
double precision t3, t4, ax, ay, az, tchk, tmin, t_est
double precision r1x, r1y, r1z, r2x, r2y, r2z, rmax, rskin, rn
double precision cluster_find_tau
integer failsafe, ibuf(MD_MAXPROC), me, nproc, twohit
logical debug
integer iter
c
iter = 0
l_cllsn = .false.
if (nocluster) then
t_rmndr = 0.0d00
t_done = tau
return
endif
me = ga_nodeid()
nproc = ga_nnodes()
if (istep.ge.68365721.and.istep.le.68365723) then
debug = .false.
else
debug = .false.
endif
rskin = 0.02d00
tmax = t_rmndr
if (t_rmndr.eq.tau) cllsn_isav = 0
100 dtmax = 2.0d00*t_rmndr
twohit = 0
failsafe = 0
iat = 0
iloc = 0
tsav = 0.0d00
rmax = r_cluster
if (debug) write(6,*) me,' atot = ',atot,istep
if (debug) write(6,*) me,' antot = ',antot,istep
if (debug) write(6,*) me, ' r_cluster = ',r_cluster,istep
if (debug) write(6,*) me,' t_rmndr = ',tmax,istep
if (debug) write(6,*) me,' cl_cmx(1) = ',cl_cmx,istep
if (debug) write(6,*) me,' cl_cmy(1) = ',cl_cmy,istep
if (debug) write(6,*) me,' cl_cmz(1) = ',cl_cmz,istep
do i = 1, cl_tot
ii = cl_at(i)
rx = ra(ii,1,6) - cl_cmx
ry = ra(ii,2,6) - cl_cmy
rz = ra(ii,3,6) - cl_cmz
r2 = rx**2 + ry**2 + rz**2
r = sqrt(r2)
c if (debug) write(6,*) me, 'ra(ii,1,6) ',ra(ii,1,6),istep
c if (debug) write(6,*) me, 'ra(ii,2,6) ',ra(ii,2,6),istep
c if (debug) write(6,*) me, 'ra(ii,3,6) ',ra(ii,3,6),istep
if (r.gt.r_cluster) then
if (r.gt.rmax) rmax = r
if (debug) write(6,*) me,' tmax = ',tmax,istep
if (debug) write(6,*) me,' dtmax = ',dtmax,istep
if (debug) write(6,*) me,' ii = ',ii,istep
if (debug) write(6,*) me,' antot = ',antot,istep
if (debug) write(6,*) me,' r-r_cluster ',r-r_cluster,istep
if (debug) write(6,*) me,' r_cluster = ',r_cluster,istep
if (debug) write(6,*) me,' sqrt(r2) = ',sqrt(r2),istep
if (debug) write(6,*) me,' ra(1) = ',ra(ii,1,6),istep
if (debug) write(6,*) me,' ra(2) = ',ra(ii,2,6),istep
if (debug) write(6,*) me,' ra(3) = ',ra(ii,3,6),istep
if (debug) write(6,*) me,' cl_cmx = ',cl_cmx,istep
if (debug) write(6,*) me,' cl_cmy = ',cl_cmy,istep
if (debug) write(6,*) me,' cl_cmz = ',cl_cmz,istep
if (debug) write(6,*) me,' r_cluster_old = ',r_cluster_old,
+ istep
if (debug) write(6,*) me,' cl_old(1) = ',cl_old(i,1,2),istep
if (debug) write(6,*) me,' cl_old(2) = ',cl_old(i,2,2),istep
if (debug) write(6,*) me,' cl_old(3) = ',cl_old(i,3,2),istep
if (debug) write(6,*) me,' cl_cm_old(1) = ',cl_cm_old(1),istep
if (debug) write(6,*) me,' cl_cm_old(2) = ',cl_cm_old(2),istep
if (debug) write(6,*) me,' cl_cm_old(3) = ',cl_cm_old(3),istep
if (debug) write(6,*) me,' r_old = ', sqrt(
+ + (cl_old(i,1,2)-cl_cm_old(1))**2
+ + (cl_old(i,2,2)-cl_cm_old(2))**2
+ + (cl_old(i,3,2)-cl_cm_old(3))**2)
rn = sqrt(rx**2+ry**2+rz**2)
vn = ra(ii,1,2)*rx+ra(ii,2,2)*ry+ra(ii,3,2)*rz
vn = vn/rn
t_est = vn*(rn-r_cluster)
tcut = cluster_find_tau(ii,i,cllsn_isav,tmax,.false.)
if (debug) write(6,*) me,' tcut = ',tcut,istep
if (debug) write(6,*) me,' t_est = ',t_est,istep
if (debug) write(6,155) me,1,tcut,istep
155 format(i3,' tcut at ',i1,': ',f12.4,' step: ',i8)
c
c Check to see if collision is earlier than previously found collisions
c and that it is also greater than zero.
c
if (tcut.lt.dtmax.and.tcut.gt.0.0d00) then
c
c Try to protect against numerical roundoff by checking that different
c particle collides with sphere or that collision time is significantly
c greater than zero if it is the same particle
c
if (.not.(ii.eq.cllsn_isav.and.tcut.lt.1.0d-03)) then
dtmax = tcut
tsav = tcut
iat = ii
iloc = i
else
write(6,101) ii, tcut, istep
101 format('Rejected collision of atom ',i8,' at time ',
+ f16.8,' at step ',i8)
failsafe = 1
endif
else if (tcut.lt.0.0d00) then
write(6,*) ga_nodeid(),' vn ',vn,istep
write(6,*) ga_nodeid(),' t_est ',t_est,istep
write(6,*) ga_nodeid(),' r-r_cluster ',r-r_cluster,istep
write(6,*) ga_nodeid(),' Returned negative value at 1',istep
failsafe = 1
endif
#if 0
c
c Check for trajectories that may have gone out and then back into
c confining sphere
c
else if (r_cluster-r.lt.rskin.and.r_cluster-r.gt.0.0d00) then
vn = rx*ra(ii,1,2)+ry*ra(ii,2,2)+rz*ra(ii,3,2)
if (vn.le.0.0d00) then
tcut = cluster_find_tau(ii,i,cllsn_isav,tmax,.true.)
if (tcut.lt.dtmax.and.tcut.gt.0.0d00) then
write(6,*) 'Found looping trajectory',istep
write(6,*) 'dtmax = ',dtmax,istep
write(6,*) 'tcut = ',tcut,istep
write(6,*) 'ii = ',ii,istep
write(6,*) 'cllsn_isav = ',cllsn_isav,istep
write(6,*) 'r = ',r,istep
write(6,*) 'r_cluster = ',r_cluster,istep
if (.not.(ii.eq.cllsn_isav.and.tcut.lt.1.0d-10)) then
write(6,*) 'Resetting trajectory',istep
dtmax = tcut
tsav = tcut
iat = ii
iloc = i
else
write(6,*)'Not resetting trajectory (loop is too short)'
endif
endif
endif
#endif
endif
end do
c
c Check to see if a collision occured on another processor
c
ibuf(1) = iat
ibuf(2) = failsafe
if (debug) write(6,*) me,' iat = ',iat,istep
if (debug) write(6,*) me,' failsafe = ',failsafe,istep
if (debug) write(6,*) me,' ibuf(1) = ',ibuf(1),istep
if (debug) write(6,*) me,' ibuf(2) = ',ibuf(2),istep
call ga_igop(5,ibuf,2,'+')
if (debug) write(6,*) me,' ibuf(1) = ',ibuf(1),istep
if (debug) write(6,*) me,' ibuf(2) = ',ibuf(2),istep
c
c No collisions detected. Step is complete so just return.
c
if (ibuf(1).eq.0.and.ibuf(2).eq.0) then
t_rmndr = 0.0d00
t_done = tau
if (debug) write(6,*) me,' Returning with no hits ',istep
return
endif
c
c If no solution found for atom outside confining sphere, then bail
c completely and increase diameter of confining sphere so that all
c atoms are enclosed.
c
if (ibuf(2).gt.0) then
call ga_dgop(4,rmax,1,'max')
if (debug) write(6,*) me,' r_cluster (a) = ',r_cluster
r_cluster = r_cluster + (rmax - r_cluster)*1.1d00
if (debug) write(6,*) me,' r_cluster (b) = ',r_cluster
if (ga_nodeid().eq.0) then
write(6,*) ga_nodeid(),' Returned negative value at 2',istep
endif
failcount = failcount + 1
t_rmndr = 0.0d00
t_done = tau
return
endif
c
c At this point, a collision has been detected on at least on
c processor. Check to find minimum time if collisions occur on more
c than one processor.
c
if (iat.eq.0) then
tsav = tau
endif
a = tsav
call ga_dgop(6,a,1,'min')
c
c Find mass of particle that has first collision with confining sphere
c
if (a.eq.tsav) then
b = mass(iat)
else
b = 0.0d00
endif
call ga_dgop(7,b,1,'max')
1000 mmass = cl_mass - b
tcut = a
if (debug) write(6,155) me,2,tcut,istep
if (tsav.ne.a) then
iat = 0
iloc = 0
cllsn_isav = 0
if (debug) write(6,*) me,' cllsn_isav(1): ',cllsn_isav
else
cllsn_isav = iat
if (debug) write(6,*) me,' cllsn_isav(2): ',cllsn_isav
endif
c
c Handle degenerate case of only two atoms in cluster, which will
c generally have two simultaneous collisions
c
if (ctot.eq.2) then
do i = 1, nproc
if (i-1.eq.me) then
ibuf(i) = iat
else
ibuf(i) = 0
endif
end do
call ga_igop(3,ibuf,nproc,'+')
j = 0
iat = 0
cllsn_isav = 0
do i = 1, nproc
if (ibuf(i).gt.0.and.i-1.eq.me.and.j.eq.0) then
iat = ibuf(i)
cllsn_isav = ibuf(i)
j = 1
else if (ibuf(i).gt.0) then
j = 1
endif
end do
c
c Make sure that correct mass is being used for collision
c
if (iat.ne.0) then
b = mass(iat)
else
b = 0.0d00
endif
call ga_dgop(6,b,1,'max')
mmass = cl_mass - b
endif
c
c Now recalculate coordinates of all particles in the cluster
c
call cluster_reset(tcut)
call cluster_com !CHECK
c
c Check to see if there were any trajectories that pass through confining
c sphere twice (i.e. goes out and then comes back in). Don't bother with
c check if there are only 2 particles in system.
c
if (ctot.eq.2) then
go to 2000
endif
reset = 0
tchk = 0.0d00
scndat = 0
tmin = tcut
tsav = tcut
failsafe = 0
do i = 1, cl_tot
ii = cl_at(i)
rx = ra(ii,1,6) - cl_cmx
ry = ra(ii,2,6) - cl_cmy
rz = ra(ii,3,6) - cl_cmz
r = sqrt(rx**2+ry**2+rz**2)
if (r.ge.r_cluster.and.ii.ne.cllsn_isav) then
tchk = cluster_find_tau(ii,i,cllsn_isav,tcut,.false.)
if (debug) write(6,155) me,7,tchk,istep
if (debug) write(6,*) me, 'ii: ',ii
if (debug) write(6,*) me, 'cllsn_isav: ',cllsn_isav
reset = 1
if (tchk.lt.tmin.and.tchk.gt.0.0d00) then
if (debug) write(6,*) me,' Shorter collision found'
tmin = tchk
imin = ii
if (debug) write(6,155) me,4,tchk,istep
if (debug) write(6,155) me,5,tmin,istep
else if (tchk.lt.0.0d00) then
write(6,*) ga_nodeid(),' Returned negative value at 3',istep
failsafe = 1
else
c
c This case should theoretically be impossible, but it may occur because of
c roundoff
c
write(6,*) me,' tchk greater than or equal to tmin',istep
write(6,*) me,' tchk = ',tchk,istep
write(6,*) me,' tmin = ',tmin,istep
failsafe = 1
endif
endif
end do
ibuf(1) = reset
ibuf(2) = failsafe
call ga_igop(2,ibuf,2,'+')
c
c No solution for tau found, so increase confining sphere and then bail
c
if (ibuf(2).gt.0) then
if (debug) write(6,*) me,' rmax (c) = ',rmax
call ga_dgop(4,rmax,1,'max')
if (debug) write(6,*) me,' rmax (d) = ',rmax
if (debug) write(6,*) me,' r_cluster (c) = ',r_cluster
r_cluster = r_cluster + (rmax - r_cluster)*1.1d00
if (debug) write(6,*) me,' r_cluster (d) = ',r_cluster
if (ga_nodeid().eq.0) then
write(6,*) 'Bogus value of collision time at 2'
endif
call cluster_reset(t_rmndr)
t_rmndr = 0.0d00
t_done = tau
return
endif
reset = ibuf(1)
c
c Shorter collision found so recalculate positions
c
if (reset.gt.0) then
if (tmin.le.tsav) then
if (debug) write(6,*) 'tmin = ',tmin,istep
if (debug) write(6,*) 'tsav = ',tsav,istep
a = tmin
else
a = tau
endif
call ga_dgop(2,a,1,'min')
c
if (a.le.tsav) then
if (a.ne.tmin) then
iat = 0
iloc = 0
cllsn_isav = 0
if (debug) write(6,*) me,'cllsn_isav(3): ',cllsn_isav
else
cllsn_isav = imin
if (debug) write(6,*) me,'cllsn_isav(4): ',cllsn_isav
endif
tcut = a
tsav = a !BJP is this correct?
if (debug) write(6,155) me,3,tcut,istep
if (iat.gt.0) then
b = mass(iat)
else
b = 0.0d00
endif
call ga_dgop(7,b,1,'+')
call cluster_reset(0.0d00)
iter = iter + 1
if (iter.gt.100) debug = .true.
if (iter.gt.1000) call ga_error('Too many iterations',0)
go to 1000
endif
endif
c
2000 l_cllsn = .true.
cllsn_idx = cllsn_isav
c
t_rmndr = tmax - tcut
t_done = tau - t_rmndr
if (debug) write(6,*) me, 't_rmndr = ',t_rmndr
if (debug) write(6,*) me, 't_done = ',t_done
c
return
end
c
double precision function cluster_find_tau(iat,iloc,isav,tmax,
+ forward)
#include "common.fh"
c
c This function calculates the time at which a particle outside the confining
c sphere would have collided with the sphere.
c
integer iat, iloc, isav
double precision r, r2, rx, ry, rz, dr
double precision rrx, rry, rrz, vvx, vvy, vvz
double precision vx, vy, vz, fx, fy, fz, v2, f2
double precision clcut, frdot, vrdot, vfdot, a, b, c
double precision t, t1, t2, tcut, tmax, thi, tlo, tmid
double precision ttmin,ttmax
integer i,j,me,iter
logical forward, debug
c
c A particle lies outside the cutoff. Find particle that crosses
c cutoff first.
c
if (istep.ge.68365721.and.istep.le.68365723) then
debug = .false.
else
debug = .false.
endif
me = ga_nodeid()
mmass = cl_mass - mass(iat)
c
c Calculate center of mass and velocity of center of mass of remaining
c particles in cluster (these are the rr and vv vectors)
c
rrx = (cl_mass*cl_cm_old(1) - mass(iat)*cl_old(iloc,1,2))/mmass
rry = (cl_mass*cl_cm_old(2) - mass(iat)*cl_old(iloc,2,2))/mmass
rrz = (cl_mass*cl_cm_old(3) - mass(iat)*cl_old(iloc,3,2))/mmass
vvx = (cl_mass*cl_vcm_old(1) - mass(iat)*cl_old(iloc,1,3))/mmass
vvy = (cl_mass*cl_vcm_old(2) - mass(iat)*cl_old(iloc,2,3))/mmass
vvz = (cl_mass*cl_vcm_old(3) - mass(iat)*cl_old(iloc,3,3))/mmass
c
c The r and v vectors are the relative coordinates and velocities of
c particle iat and the center of mass vectors. The vector f is the
c force along this relative coordinate.
c
rx = cl_old(iloc,1,2) - cl_cm_old(1)
ry = cl_old(iloc,2,2) - cl_cm_old(2)
rz = cl_old(iloc,3,2) - cl_cm_old(3)
vx = cl_old(iloc,1,3) - cl_vcm_old(1)
vy = cl_old(iloc,2,3) - cl_vcm_old(2)
vz = cl_old(iloc,3,3) - cl_vcm_old(3)
fx = ra(iat,1,3) - cl_acmx
fy = ra(iat,2,3) - cl_acmy
fz = ra(iat,3,3) - cl_acmz
c
r = sqrt(rx**2 + ry**2 + rz**2)
c
c Note that we are using acceleration instead of force,
c so factors of reduced mass disappear
c
vrdot = vx*rx + vy*ry + vz*rz
frdot = fx*rx + fy*ry + fz*rz
vfdot = vx*fx + vy*fy + vz*fz
clcut = r_cluster
v2 = vx**2 + vy**2 + vz**2
a = v2+frdot
b = 2.0d00*vrdot
c
c c = rx**2 + ry**2 + rz**2 - clcut**2
c
c Calculate c to minimize roundoff error from subtracting large numbers
c
dr = r - clcut
c = 2.0d00*r*dr+dr**2
f2 = fx**2 + fy**2 + fz**2
c
c Scan forwards from 0 to find a final value of t2. If no final
c value found, then return with value of -1.
c
if (debug) write(6,*) me, 'iat: ',iat
if (debug) write(6,*) me, 'a: ',a
if (debug) write(6,*) me, 'b: ',b
if (debug) write(6,*) me, 'c: ',c
if (debug) write(6,*) me, 'f2: ',f2
if (debug) write(6,*) me, 'vfdot: ',vfdot
if (forward) then
t = tmax
t1 = 0.0d00
ttmin = t1
ttmax = t
c tlo = c + t1*(b + t1*(a+t1*(vfdot+t1*0.25d00*f2)))
tlo = (-c-t1**2*(a+t1*(vfdot+t1*0.25d00*f2)))/b - t1
do i = 1, 1000
if (t.eq.tmax) then
t2= tmax*dble(i)/1000.0d00
c thi = c + t2*(b + t2*(a+t2*(vfdot+t2*0.25d00*f2)))
thi = (-c-t2**2*(a+t2*(vfdot+t2*0.25d00*f2)))/b - t2
if ((thi.ge.0.0d00.and.tlo.le.0.0d00).or.
+ (thi.le.0.0d00.and.tlo.ge.0.0d00)) then
t = t2
write(6,*) ga_nodeid(),' tmin = ',ttmin,istep
write(6,*) ga_nodeid(),' tmax = ',ttmax,istep
write(6,*) ga_nodeid(),' tlo = ',tlo,istep
write(6,*) ga_nodeid(),' thi = ',thi,istep
write(6,*) ga_nodeid(),' t = ',t,istep
go to 500
endif
endif
end do
cluster_find_tau = -1.0d00
return
c
c scan backwards from tmax to find an initial value of t1
c
else
t = 0.0d00
t2 = tmax
c thi = c + t2*(b + t2*(a+t2*(vfdot+t2*0.25d00*f2)))
thi = (-c-t2**2*(a+t2*(vfdot+t2*0.25d00*f2)))/b - t2
do i = 1, 1000
if (t.eq.0.0d00) then
t1= tmax - tmax*dble(i)/1000.0d00
c tlo = c + t1*(b + t1*(a+t1*(vfdot+t1*0.25d00*f2)))
tlo = (-c-t1**2*(a+t1*(vfdot+t1*0.25d00*f2)))/b - t1
if ((thi.ge.0.0d00.and.tlo.le.0.0d00).or.
+ (thi.le.0.0d00.and.tlo.ge.0.0d00)) then
t = t1
if (debug) write(6,*) me, 'tlo: ',tlo
if (debug) write(6,*) me, 'thi: ',thi
if (debug) write(6,*) me, 't: ',t
go to 500
endif
endif
end do
endif
c
c Use bisections to find accurate solution
c
500 if (forward) then
t1 = 0.0d00
t2 = t
else
t1 = t
t2 = tmax
if (debug) write(6,*) me, 't1: ',t1
if (debug) write(6,*) me, 't2: ',t2
endif
iter = 0
c 600 tlo = c + t1*(b + t1*(a+t1*(vfdot+t1*0.25d00*f2)))
c thi = c + t2*(b + t2*(a+t2*(vfdot+t2*0.25d00*f2)))
600 tlo = (-c-t1**2*(a+t1*(vfdot+t1*0.25d00*f2)))/b - t1
thi = (-c-t2**2*(a+t2*(vfdot+t2*0.25d00*f2)))/b - t2
if ((thi.ge.0.0d00.and.tlo.le.0.0d00).or.
+ (thi.le.0.0d00.and.tlo.ge.0.0d00)) then
t = 0.5d00*(t1+t2)
c tmid = c + t*(b + t*(a+t*(vfdot+t*0.25d00*f2)))
tmid = (-c-t**2*(a+t*(vfdot+t*0.25d00*f2)))/b - t
if ((tmid.ge.0.0d00.and.thi.le.0.0d00).or.
+ (tmid.le.0.0d00.and.thi.ge.0.0d00)) then
t1 = t
else if ((tmid.ge.0.0d00.and.tlo.le.0.0d00).or.
+ (tmid.le.0.0d00.and.tlo.ge.0.0d00)) then
t2 = t
endif
tcut = 0.5d00*(t1+t2)
iter = iter + 1
if (abs(t1-t2)/tau.gt.1.0d-14.and.iter.lt.1000) go to 600
c
c Protect against numerical roundoff errors
c
if (iter.ge.1000) then
write(6,*) ga_nodeid(),' Maxed out on iterations'
endif
if (forward.and.(tcut.lt.1.0d-10.or.
+ abs(tcut-tmax).lt.1.0d-10)) then
cluster_find_tau = -1.0d00
return
endif
else
open(unit=2,file='tau.dat',status='unknown')
do j = 0, 1000
t = tmax*dble(j)/1000.0d00
t1 = (-c-t**2*(a+t*(vfdot+t*0.25d00*f2)))/b - t
tmid = c + t*(b + t*(a+t*(vfdot+t*0.25d00*f2)))
write(2,300) t,t1, tmid
300 format(3(' ',f16.8))
end do
close(2)
if (iat.ne.isav) then
if (abs(thi).lt.0.000001d00) then
tcut = tmax
else if (abs(tlo).lt.0.000001d00) then
if (vrdot.gt.0.0d00) then
tcut = 0.0d00
else
tcut = tmax
endif
else
if (forward) write(6,*) 'Searching forward'
write(6,*) 'Collision time does not converge at step ',istep
tcut = -1.0d00
endif
else
tcut = 4.0d00*tau
endif
endif
c
if (forward) write(6,*) ga_nodeid(),' tcut = ',tcut
cluster_find_tau = tcut
return
end
c
double precision function cluster_check_radius()
#include "common.fh"
double precision rx, ry, rz, r2, cl2
integer i
c
c check to make sure that all cluster particles are within cluster
c radius
c
cl2 = 0.0d00
do i = 1, antot
if (at(i).eq.2) then
rx = ra(i,1,6) - cl_cmx
ry = ra(i,2,6) - cl_cmy
rz = ra(i,3,6) - cl_cmz
r2 = rx**2 + ry**2 + rz**2
if (r2.gt.cl2) cl2 = r2
endif
end do
call ga_dgop(4,cl2,1,'max')
c
cluster_check_radius = sqrt(cl2)
return
end
c
subroutine cluster_mc
#include "common.fh"
c
c Perform Monte Carlo adjustment of volume on confining volume
c
double precision r_old, delta_r, r2, cl2, rx, ry, rz, pi
double precision vol_new, vol_old, x, ran1, ratio
integer i, icnt, iat, me
logical force_move,debug
c
if (nocluster) return
if (istep.ge.6932366) then
debug = .false.
else
debug = .false.
endif
call cluster_com
me = ga_nodeid()
r_cluster_old = r_cluster
r_old = r_cluster
force_move = .false.
delta_r = 0.2
if (debug) write(6,*)me,' (1) r_cluster ',r_cluster,istep
if (me.eq.0) then
r_cluster = r_cluster + delta_r*(ran1(0)-0.5d00)
else
r_cluster = 0.0d00
endif
if (debug) write(6,*)me,' (2) r_cluster ',r_cluster,istep
call ga_dgop(1,r_cluster,1,'+')
if (debug) write(6,*)me,' (3) r_cluster ',r_cluster,istep
c
c If new value of r_cluster falls outside of allowed interval then
c it is rejected, unless old value was aready outside interval.
c
if (r_cluster.ge.cl_upper.or.r_cluster.le.cl_lower) then
c
c If new values move cluster radius closer to cutoffs from the outside,
c then accept them, reject them otherwise. Before accepting move, make
c sure that there are no illegal overlaps.
c
force_move = .true.
if (r_cluster.gt.r_old.and.r_cluster.gt.cl_upper) then
r_cluster = r_old
else if (r_cluster.lt.r_old.and.r_cluster.lt.cl_lower) then
r_cluster = r_old
endif
if (r_cluster.eq.r_old) return
endif
if (debug) write(6,*)me,' (4) r_cluster ',r_cluster,istep
c
c Check to see if any particles are outside new value of r_cluster.
c If so, then new value is rejected.
c
if (r_cluster.lt.r_old) then
icnt = 0
cl2 = r_cluster**2
do i = 1, antot
if (at(i).eq.2) then
rx = ra(i,1,6) - cl_cmx
ry = ra(i,2,6) - cl_cmy
rz = ra(i,3,6) - cl_cmz
r2 = rx**2 + ry**2 + rz**2
if (r2.gt.cl2) then
icnt = icnt + 1
endif
endif
end do
call ga_igop(9,icnt,1,'+')
if (icnt.gt.0) then
r_cluster = r_old
return
endif
endif
if (debug) write(6,*)me,' (5) r_cluster ',r_cluster,istep
if (force_move) return
c
c Accept with Monte Carlo probability.
c
pi = 4.0d00*atan(1.0d00)
vol_new = 4.0d00*pi*r_cluster**3/3.0d00
vol_old = 4.0d00*pi*r_old**3/3.0d00
ratio = (r_cluster/r_old)**2
c
x = ratio*exp(-cl_prssr*(vol_new-vol_old)/mc_tmprtr)
if (me.eq.0) then
if (x.ge.1.0d00) then
icnt = 1
else
if (ran1(0).lt.x) then
icnt = 1
else
icnt = 0
endif
endif
else
icnt = 0
endif
call ga_igop(1,icnt,1,'+')
if (icnt.eq.0) then
r_cluster = r_old
endif
if (debug) write(6,*)me,' (6) r_cluster ',r_cluster,istep
return
end
c
subroutine cluster_binr
#include "common.fh"
c
c Bin the current value of r_cluster
c
double precision dr
integer ir, isample
if (nocluster) return
c
c Find bin
c
dr = r_cluster - cl_lower
ir = int(dr/mc_step) + 1
if (ir.le.0) ir = 1
if (ir.gt.mcbins) ir = mcbins
mc_cnt = mc_cnt + 1
c
c Find slice for statistics
c
if (istep.gt.mc_start) then
isample = int(10.0d00*(dble(istep-mc_start)-0.5d00)
+ / dble(nstep-mc_start)) + 1
if (isample.gt.10) isample = 10
else
isample = 1
endif
r_cnt(isample) = r_cnt(isample) + 1
r_distr(ir,isample) = r_distr(ir,isample) + 1
return
end
c
subroutine cluster_print_binr
#include "common.fh"
c
c Print out the distribution of r_cluster
c
double precision rdist(MAXBINS), norm, r, normi
double precision rdist2(MAXBINS), sum
double precision sigr(MAXBINS),sigr2(MAXBINS)
double precision sig2(MAXBINS),sig2_2(MAXBINS)
double precision rdisti(MAXBINS,10),rdisti2(MAXBINS,10)
integer itot, i, j, isample
character*32 filename
c
if (nocluster) return
if (task_id.lt.10) then
write(filename,100) task_id
else if (task_id.ge.10.and.task_id.lt.100) then
write(filename,101) task_id
else if (task_id.ge.100.and.task_id.lt.1000) then
write(filename,102) task_id
else if (task_id.ge.1000.and.task_id.lt.10000) then
write(filename,103) task_id
endif
100 format('cl.distr.',i1)
101 format('cl.distr.',i2)
102 format('cl.distr.',i3)
103 format('cl.distr.',i4)
c
c Evaluate normalized distribution and uncertainty for P(r)
c
if (mc_cnt.lt.0) return
norm = dble(mc_cnt)
do i = 1, mcbins
rdist(i) = 0.0d00
rdist2(i) = 0.0d00
sig2(i) = 0.0d00
sig2_2(i) = 0.0d00
sigr(i) = 0.0d00
sigr2(i) = 0.0d00
do j = 1, 10
rdisti(i,j) = 0.0d00
rdisti2(i,j) = 0.0d00
end do
end do
do j = 1, 10
normi = dble(r_cnt(j))
do i = 1, mcbins
rdist(i) = rdist(i) + dble(r_distr(i,j))/norm
rdisti(i,j) = dble(r_distr(i,j))/normi
end do
end do
do j = 1, 10
do i = 1, mcbins
sig2(i) = sig2(i) + rdisti(i,j)**2
end do
end do
do i = 1, mcbins
sigr(i) = (sig2(i)-10.0d00*rdist(i)**2)/9.0d00
end do
c
c Uncertainty at the 95% confidence level
c
do i = 1, mcbins
sigr(i) = 2.23d00*sqrt(sigr(i)/10.d00)
end do
sum = 0.0d00
do i = 1, mcbins
sum = sum + rdist(i)
end do
do i = 1, mcbins
rdist(i) = rdist(i)/(sum*mc_step)
sigr(i) = sigr(i)/(sum*mc_step)
end do
c
c Evaluate normalized distribution and uncertainty for P(V)
c
do j = 1, 10
normi = dble(r_cnt(j))
do i = 1, mcbins
r = cl_lower + (dble(i)-0.5d00)*mc_step
rdist2(i) = rdist2(i) + dble(r_distr(i,j))/(r**2*norm)
rdisti2(i,j) = dble(r_distr(i,j))/(r**2*normi)
end do
end do
do j = 1, 10
do i = 1, mcbins
sig2_2(i) = sig2_2(i) + rdisti2(i,j)**2
end do
end do
do i = 1, mcbins
sigr2(i) = (sig2_2(i)-10.0d00*rdist2(i)**2)/9.0d00
end do
c
c Uncertainty at the 95% confidence level
c
do i = 1, mcbins
sigr2(i) = 2.23d00*sqrt(sigr2(i)/10.d00)
end do
sum = 0.0d00
do i = 1, mcbins
sum = sum + rdist2(i)
end do
do i = 1, mcbins
rdist2(i) = rdist2(i)/(sum*mc_step)
sigr2(i) = sigr2(i)/(sum*mc_step)
end do
c
if (ga_nodeid().eq.0) then
open(unit=2,file=filename,status='unknown')
do i = 1, mcbins
r = cl_lower + (dble(i)-0.5d00)*mc_step
write(2,200) r, rdist(i), rdist2(i),sigr(i),sigr2(i)
200 format(f12.4,' ',f16.8,' ',f16.8,' ',
+ f16.8,' 'f16.8)
end do
close(2)
endif
c
return
end
c
subroutine cluster_clear_binr
#include "common.fh"
c
c clear the distribution of r_cluster
c
integer itot, i, j
c
if (nocluster) return
do j = 1, 10
do i = 1, MAXBINS
r_distr(i,j) = 0
end do
r_cnt(j) = 0
end do
mc_cnt = 0
mc_start = istep
c
return
end
c
subroutine cluster_reset_binr(iflg)
#include "common.fh"
c
c recalculate bounds for confining sphere
c
integer iflg,ilow,ihi,imax,i
if (nocluster) return
if (iflg.eq.1) then
c
c find minimum and maximum values of distribution and reset
c windows to just bound these values
c
if (ga_nodeid().eq.0.and.l_rad) then
open(unit=3,file="win1.dat",status='unknown')
do i = 1, mcbins
write(3,*) i, r_distr(i,1)
end do
endif
ilow = 0
ihi = 0
do i = 1, mcbins
if (r_distr(i,1).gt.0.and.ilow.eq.0) then
ilow = i-1
if (ilow.lt.1) ilow = 1
endif
if (ilow.gt.0.and.ihi.eq.0.and.r_distr(i,1).eq.0) then
ihi = i
endif
end do
if (ihi.eq.0) ihi = mcbins
if (ihi.lt.mcbins) then
cl_upper = cl_lower + mc_step*dble(ihi)
endif
if (ihi.gt.1) then
cl_lower = cl_lower + mc_step*dble(ilow-1)
endif
else if (iflg.eq.2) then
c
c reset bounds so that maximum is set at radius value that
c is the maximum value of distribution
c
ilow = 1
ihi = 0
imax = 0
do i = 1, mcbins
c if (r_distr(i,1).gt.0.and.ilow.eq.0) then
c ilow = i-1
c if (ilow.lt.1) ilow = 1
c endif
if (r_distr(i,1).gt.imax) then
ihi = i
imax = r_distr(i,1)
endif
end do
if (ihi.eq.0) ihi = mcbins
if (ihi.lt.mcbins) then
cl_upper = cl_lower + mc_step*dble(ihi)
endif
if (ilow.gt.1) then
cl_lower = cl_lower + mc_step*dble(ilow-1)
endif
endif
cl_upper = 3.5d00
cl_lower = 0.5d00
cl_upper = 4.5d00
cl_lower = 0.5d00
mc_step = (cl_upper-cl_lower)/dble(mcbins)
call cluster_clear_binr
return
end
c
subroutine cluster_do_cllsn
#include "common.fh"
integer iat, i, j, ii, jj, iloc, isav, scndat
double precision r, r2, rc2, rx, ry, rz
double precision rrx, rry, rrz, vvx, vvy, vvz
double precision vx, vy, vz, fx, fy, fz, mu, v2, f2
double precision comm(4), tmax, tcut, vrdot
double precision rnx, rny, rnz, vpx, vpy, vpz, vllx, vlly, vllz
c
c Re-evaluate all particle velocities. First, recalculate center of
c mass and center of mass velocity of cluster at new coordinates
c and velocities.
c
if (nocluster) return
cllsn_cnt = cllsn_cnt + 1
iat = cllsn_idx
call cluster_com
if (iat.gt.0) then
rrx = (cl_mass*cl_cmx - mass(iat)*ra(iat,1,6))/mmass
rry = (cl_mass*cl_cmy - mass(iat)*ra(iat,2,6))/mmass
rrz = (cl_mass*cl_cmz - mass(iat)*ra(iat,3,6))/mmass
vvx = (cl_mass*cl_vcmx - mass(iat)*ra(iat,1,2))/mmass
vvy = (cl_mass*cl_vcmy - mass(iat)*ra(iat,2,2))/mmass
vvz = (cl_mass*cl_vcmz - mass(iat)*ra(iat,3,2))/mmass
c
c The r and v vectors are the relative coordinates and velocities of
c particle iat and the center of mass vectors. The vector f is the
c force along this relative coordinate.
c
rx = ra(iat,1,6) - rrx
ry = ra(iat,2,6) - rry
rz = ra(iat,3,6) - rrz
vx = ra(iat,1,2) - vvx
vy = ra(iat,2,2) - vvy
vz = ra(iat,3,2) - vvz
c
c Decompose velocity v into components that are parallel and perpendicular
c to r. Save this information for computing post-collision velocities.
c
r = sqrt(rx**2 + ry**2 + rz**2)
rnx = rx/r
rny = ry/r
rnz = rz/r
vrdot = vx*rnx + vy*rny + vz*rnz
vllx = vrdot * rnx
vlly = vrdot * rny
vllz = vrdot * rnz
vpx = vx - vllx
vpy = vy - vlly
vpz = vz - vllz
comm(1) = (vpx-vllx-vx)/cl_mass
comm(2) = (vpy-vlly-vy)/cl_mass
comm(3) = (vpz-vllz-vz)/cl_mass
comm(4) = mmass
else
comm(1) = 0.0d00
comm(2) = 0.0d00
comm(3) = 0.0d00
comm(4) = 0.0d00
endif
call ga_dgop(8,comm,4,'+')
vvx = comm(1)
vvy = comm(2)
vvz = comm(3)
mmass = comm(4)
c
do i = 1, cl_tot
ii = cl_at(i)
if (ii.eq.iat) then
ra(ii,1,2) = ra(ii,1,2) + mmass*vvx
ra(ii,2,2) = ra(ii,2,2) + mmass*vvy
ra(ii,3,2) = ra(ii,3,2) + mmass*vvz
else
ra(ii,1,2) = ra(ii,1,2) - mass(ii)*vvx
ra(ii,2,2) = ra(ii,2,2) - mass(ii)*vvy
ra(ii,3,2) = ra(ii,3,2) - mass(ii)*vvz
endif
end do
call cluster_old_at
c
return
end
c
subroutine cluster_reset(dt)
#include "common.fh"
double precision dt, htausq, scale
integer i, ii
c
c Reset coordinates and velocities using old values from beginning of
c step.
c
htausq = 0.5d00*dt**2
do i = 1, cl_tot
ii = cl_at(i)
ra(ii,1,1) = cl_old(i,1,1)+dt*cl_old(i,1,3)+htausq*ra(ii,1,3)
ra(ii,2,1) = cl_old(i,2,1)+dt*cl_old(i,2,3)+htausq*ra(ii,2,3)
ra(ii,3,1) = cl_old(i,3,1)+dt*cl_old(i,3,3)+htausq*ra(ii,3,3)
ra(ii,1,6) = cl_old(i,1,2)+dt*cl_old(i,1,3)+htausq*ra(ii,1,3)
ra(ii,2,6) = cl_old(i,2,2)+dt*cl_old(i,2,3)+htausq*ra(ii,2,3)
ra(ii,3,6) = cl_old(i,3,2)+dt*cl_old(i,3,3)+htausq*ra(ii,3,3)
ra(ii,1,2) = cl_old(i,1,3)+dt*ra(ii,1,3)
ra(ii,2,2) = cl_old(i,2,3)+dt*ra(ii,2,3)
ra(ii,3,2) = cl_old(i,3,3)+dt*ra(ii,3,3)
end do
#if 1
do i = 1, sl_tot
ii = sl_at(i)
ra(ii,1,1) = sl_old(i,1,1)+dt*sl_old(i,1,3)+htausq*ra(ii,1,3)
ra(ii,2,1) = sl_old(i,2,1)+dt*sl_old(i,2,3)+htausq*ra(ii,2,3)
ra(ii,3,1) = sl_old(i,3,1)+dt*sl_old(i,3,3)+htausq*ra(ii,3,3)
ra(ii,1,6) = sl_old(i,1,2)+dt*sl_old(i,1,3)+htausq*ra(ii,1,3)
ra(ii,2,6) = sl_old(i,2,2)+dt*sl_old(i,2,3)+htausq*ra(ii,2,3)
ra(ii,3,6) = sl_old(i,3,2)+dt*sl_old(i,3,3)+htausq*ra(ii,3,3)
ra(ii,1,2) = sl_old(i,1,3)+dt*ra(ii,1,3)
ra(ii,2,2) = sl_old(i,2,3)+dt*ra(ii,2,3)
ra(ii,3,2) = sl_old(i,3,3)+dt*ra(ii,3,3)
end do
#endif
#if 1
c
c resete extended Hamiltonian parameters
c
if ((prsflg.or.ptflg).and.ipmode.eq.0) then
vol1 = cl_vol1_old + dt * cl_vol2_old + htausq * vol3
vol2 = cl_vol2_old + dt * vol3
scale = vol1 / (cl_box_old(1) * cl_box_old(2) * cl_box_old(3))
scale = exp(log(scale)/3.0d00)
xbox = scale * cl_box_old(1)
ybox = scale * cl_box_old(2)
zbox = scale * cl_box_old(3)
xbox2 = 0.5d00 * xbox
ybox2 = 0.5d00 * ybox
zbox2 = 0.5d00 * zbox
endif
c
if ((prsflg.or.ptflg).and.ipmode.eq.1) then
do 500 i = 1, 3
alen1(i) = cl_alen1_old(i) + dt * cl_alen2_old(i)
+ + htausq * alen3(i)
alen2(i) = cl_alen2_old(i) + dt * alen3(i)
500 continue
xbox = alen1(1)
ybox = alen1(2)
zbox = alen1(3)
xbox2 = 0.5d00 * xbox
ybox2 = 0.5d00 * ybox
zbox2 = 0.5d00 * zbox
endif
c
if ((prsflg.or.ptflg).and.ipmode.eq.2) then
do 600 i = 1, 2
alen1(i) = cl_alen1_old(i) + dt * cl_alen2_old(i)
+ + htausq * alen3(i)
alen2(i) = cl_alen2_old(i) + dt * alen3(i)
600 continue
xbox = alen1(1)
ybox = alen1(2)
xbox2 = 0.5d00 * xbox
ybox2 = 0.5d00 * ybox
endif
c
c predictor step for time scale
c
if (tmpflg.or.ptflg) then
scal1 = cl_scal1_old + dt * cl_scal2_old + htausq * scal3
scal2 = cl_scal2_old + dt * scal3
endif
c
c center of mass parameters
c
cl_cmx = cl_cm_old(1)
cl_cmy = cl_cm_old(2)
cl_cmz = cl_cm_old(3)
cl_vcmx = cl_vcm_old(1)
cl_vcmy = cl_vcm_old(2)
cl_vcmz = cl_vcm_old(3)
#endif
return
end
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