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mod_self_absorption.f90
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MODULE MOD_SELF_ABSORPTION
USE FGSL
USE MOD_INPUT
USE MOD_INITIAL
IMPLICIT NONE
PRIVATE
PUBLIC :: nu_absorb
PUBLIC :: nu_syn_absorb
PUBLIC :: eq_nu_a_3
PUBLIC :: gammln
CONTAINS
!***********************************************************************
! FUNCTION nu_absorb
! This function is used for
!
! INPUT:
! -
! -
!
! OUTPUT:
!
! REMINDER:
!***********************************************************************
function nu_absorb(Ra, n, B, gm, gc, Ntot)
IMPLICIT NONE
DOUBLE PRECISION :: nu_absorb
DOUBLE PRECISION :: Ra, B, gm, gc, Ntot, n, Ma
DOUBLE PRECISION :: length, nuc, num
!***********************************************************************
nuc = 0.45D0*gc*gc*e*B/(2*pi*me*c)
num = 0.45D0*gm*gm*e*B/(2*pi*me*c)
!print*,'Ra, n, B, gm, gc, Ntot',Ra, n, B, gm, gc, Ntot
!print*,'nuc',nuc
!print*,'num',num
length = Ntot/(4.D0*pi*Ra*Ra*n)
if( num<nuc ) then
nu_absorb = nu_syn_absorb(B,gm,gc,length,n,num,nuc,p)
elseif( num>nuc ) then
nu_absorb = nu_syn_absorb(B,gc,gm,length,n,nuc,num,2.D0)
elseif( num==nuc ) then
print*,'nu_m = nu_c!!!'
print*,'It''s too strange, I can''t deal with it.:('
pause
else
endif
return
end function nu_absorb
!***********************************************************************
! FUNCTION nu_absorb
! This function is used for
!
! INPUT:
! -
! -
!
! OUTPUT:
!
! REMINDER:
!***********************************************************************
FUNCTION nu_syn_absorb(B,gamma_1,gamma_2,length,n,nu_1,nu_2,p)
IMPLICIT NONE
DOUBLE PRECISION :: nu_syn_absorb
DOUBLE PRECISION :: A_1,A_2,A_2of2,nu_a_1,nu_a_2,nu_a_3,nu_a_2of2
DOUBLE PRECISION :: B,gamma_1,gamma_2,length,n,nu_1,nu_2,p
DOUBLE PRECISION :: N_gamma, tau_0
!***********************************************************************
if( nu_1>=nu_2 )then
print*,'Error in calculating the nu_a.',&
'(nu_1 should be less than nu_2)'
pause
endif
tau_0 = 0.35D0
N_gamma = n*(p-1.D0)*gamma_1**(p-1.D0)
C_N_gamma = N_gamma
C_B = B
C_gamma_2 = gamma_2
C_length = length
C_p = p
C_nu_2 = nu_2
C_tau_0 = tau_0
A_1 = (pi*pi*2.D0**(8.D0/3.D0)/9.D0/dexp(gammln(1.D0/3.D0)) &
*(pi/2.D0))*(p+2.D0)/(p+2.D0/3.D0)
A_2 = (8.D0*2.D0**(p/2.D0)*pi/9.D0*(pi/2.D0)) &
*dsqrt(3.D0)/4.D0 &
*dexp(gammln((3.D0*p+2.D0)/12.D0)) &
*dexp(gammln((3.D0*p+22.D0)/12.D0))
A_2of2 = (8.D0*2.D0**((p+1.D0)/2.D0)*pi/9.D0*(pi/2.D0)) &
*dsqrt(3.D0)/4.D0 &
*dexp(gammln((3.D0*(p+1.D0)+2.D0)/12.D0))&
*dexp(gammln((3.D0*(p+1.D0)+22.D0)/12.D0))
nu_a_1 = (A_1*e*N_gamma*nu_1**(5.D0/3.D0)*length &
/(B*gamma_1**(p+4.D0)*tau_0))**(0.6D0)
nu_a_2 = (A_2*e*N_gamma*nu_1**(p/2.D0+2.D0)*length &
/(B*gamma_1**(p+4.D0)*tau_0))**(2.D0/(p+4.D0))
!nu_a_3 = zbrent(eq_nu_a_3, 10.D0, nu_2*10.D0, 1.D-8) ! sometimes no root
nu_a_3 = zbrent(eq_nu_a_3, 1.D-5, nu_2*1.D5, 1.D-8) ! QChen
nu_a_2of2 = (A_2of2*e*N_gamma*nu_2**(p/2.D0+2.5D0)*length &
/(B*gamma_2**(p+4.D0)*tau_0))**(2.D0/(p+5.D0))
if(.false.)then
print*,' nu_1:',nu_1,' nu_2:',nu_2
print*,' nu_a_1:',nu_a_1,' nu_a_2:',nu_a_2
print*,' nu_a_3:',nu_a_3,' nu_a_2of2:',nu_a_2of2
print*
endif
if(nu_a_1 .gt. nu_1) nu_a_1 = 0.D0
if((nu_a_2 .lt. nu_1) .or. (nu_a_2 .gt. nu_2)) nu_a_2 = 0.D0
if(nu_a_3 .lt. nu_2) nu_a_3 = 0.D0
if(nu_a_2of2 .lt. nu_2) nu_a_2of2 = 0.D0
nu_syn_absorb = dmax1(nu_a_1,nu_a_2,nu_a_3,nu_a_2of2)
if(nu_syn_absorb .eq. nu_a_3) print*,'nu_syn_absorb = nu_a_3.', &
'In this case, I can''t deal with the emission.'
if(nu_syn_absorb .eq. 0.D0) pause 'Error in nu_syn_absorb.'
END FUNCTION nu_syn_absorb
!***********************************************************************
! FUNCTION nu_absorb
! This function is used for
!
! INPUT:
! -
! -
!
! OUTPUT:
!
! REMINDER:
!***********************************************************************
FUNCTION eq_nu_a_3(nu_a_3)
IMPLICIT NONE
DOUBLE PRECISION :: nu_a_3,eq_nu_a_3
!***********************************************************************
eq_nu_a_3 = (dsqrt(6.D0)/36.D0)*pi**2.5D0*(C_p+2.D0)*C_N_gamma*(e/C_B)&
*C_gamma_2**(-C_p-4.D0)*(nu_a_3/C_nu_2)**(-2.5D0) &
*dexp(-nu_a_3/C_nu_2)*C_length-C_tau_0
end FUNCTION eq_nu_a_3
!***********************************************************************
! FUNCTION gammln
! This function is used for
!
! INPUT:
! -
! -
!
! OUTPUT:
!
! REMINDER:
!***********************************************************************
FUNCTION gammln(xx)
IMPLICIT NONE
DOUBLE PRECISION :: gammln,xx
DOUBLE PRECISION :: ser,stp,tmp,x,y,cof(6)
INTEGER*8 :: j
!***********************************************************************
SAVE cof,stp
DATA cof,stp/76.18009172947146d0,-86.50532032941677d0, &
24.01409824083091d0, -1.231739572450155d0, &
.1208650973866179d-2, -.5395239384953d-5, &
2.5066282746310005d0/
x=xx
y=x
tmp=x+5.5d0
tmp=(x+0.5d0)*log(tmp)-tmp
ser=1.000000000190015d0
do j=1,6
y=y+1.d0
ser=ser+cof(j)/y
enddo
gammln=tmp+log(stp*ser/x)
return
END function gammln
END MODULE MOD_SELF_ABSORPTION