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SUBROUTINE L_J (n,a,ahalf,rcut,position_x,position_y,position_z,u,f_x,f_y,f_z,Ep)
IMPLICIT NONE
! the number of particles
INTEGER,INTENT(IN)::n
! the potential cutoff
REAL,INTENT(IN)::rcut
! the length and half length of box
REAL,INTENT(IN)::a,ahalf
!potential energy
REAL,INTENT(OUT)::Ep
! the position of particles
REAL(8),DIMENSION(n),INTENT(INOUT)::position_x,position_y,position_z
! the potential and force of particles
REAL,DIMENSION(n),INTENT(OUT)::u,f_x,f_y,f_z
! the contral variable of loop
INTEGER::i,j,k
! the label of particles
INTEGER::ijk
! the distance of every two particles along the three axis
REAL::distance_x,distance_y,distance_z
! the distance's square of every two particles
REAL::distance_sq
REAL::distance6,distance12,rcut_sq,rcut6,rcut12
REAL::Ec,ff
! initialize the potential and force
u=0.
Ep=0
f_x=0.
f_y=0.
f_z=0.
ijk=0
!calculate the rcut_sq
rcut_sq=rcut*rcut
rcut6=rcut_sq**3
rcut12=rcut6*rcut6
Ec=(1./rcut12-1./rcut6)
position_i: DO i=1,n-1   
    distance_ij:  DO j=i+1,n
   distance_x=position_x(i)-position_x(j)
         distance_y=position_y(i)-position_y(j)
         distance_z=position_z(i)-position_z(j)
         !x_distance:
   distance_x=distance_x-a*REAL(ANINT(distance_x/a))            
         !y_distance:
   distance_y=distance_y-a*REAL(ANINT(distance_y/a))
         !z_distance:
   distance_z=distance_z-a*REAL(ANINT(distance_z/a))
         ! calculate the distance_sq
         distance_sq=distance_x**2+distance_y**2+distance_z**2     
         ! calculate potential and force
     force:IF (distance_sq      ! calculate the distance6 and distance12
        distance6=distance_sq**3
        distance12=distance6*distance6
     ff=(distance_x/distance_sq)*((12./distance12)-(6./distance6))      
      !  u(ijk)=u(ijk)+(1./distance12-1./distance6)-Ec
              f_x(i)=f_x(i)+4.*ff
              f_y(i)=f_y(i)+4.*ff
              f_z(i)=f_z(i)+4.*ff
              f_x(j)=f_x(j)-4.*ff
              f_y(j)=f_y(j)-4.*ff
              f_z(j)=f_z(j)-4.*ff
     Ep=Ep+(1./distance12-1./distance6)-Ec
     END IF force
     END DO distance_ij
  !   u(ijk)=4.*u(ijk)
END DO position_i  
Ep=4.*Ep
Ep=Ep/real(n)
END SUBROUTINE L_J

[ Last edited by ghcacj on 2010-12-16 at 13:08 ]
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