-
Notifications
You must be signed in to change notification settings - Fork 159
/
Copy pathDarkAge21cm.f90
214 lines (182 loc) · 6.11 KB
/
DarkAge21cm.f90
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45
46
47
48
49
50
51
52
53
54
55
56
57
58
59
60
61
62
63
64
65
66
67
68
69
70
71
72
73
74
75
76
77
78
79
80
81
82
83
84
85
86
87
88
89
90
91
92
93
94
95
96
97
98
99
100
101
102
103
104
105
106
107
108
109
110
111
112
113
114
115
116
117
118
119
120
121
122
123
124
125
126
127
128
129
130
131
132
133
134
135
136
137
138
139
140
141
142
143
144
145
146
147
148
149
150
151
152
153
154
155
156
157
158
159
160
161
162
163
164
165
166
167
168
169
170
171
172
173
174
175
176
177
178
179
180
181
182
183
184
185
186
187
188
189
190
191
192
193
194
195
196
197
198
199
200
201
202
203
204
205
206
207
208
209
210
211
212
213
module DarkAge21cm
use constants
use splines
!Functions for collision rates.
implicit none
contains
function kappa_HH_21cm(T, deriv)
!Polynomial fit to Hydrogen-Hydrogen collision rate as function of Tmatter, from astro-ph/0608032
!if deriv return d log kappa / d log T
real(dl), intent(in) :: T
logical, intent(in) :: deriv
! real(dl), dimension(8), parameter :: fit = &
! (/ 0.00120402_dl, -0.0322247_dl,0.339581_dl, -1.75094_dl,4.3528_dl,-4.03562_dl, 1.26899_dl, -29.6113_dl /)
integer, parameter :: n_table = 27
integer, dimension(n_table), parameter :: Temps = &
(/ 1, 2, 4, 6,8,10,15,20,25,30,40,50,60,70,80,90,100,200,300,500,700,1000,2000,3000,5000,7000,10000/)
real, dimension(n_table), parameter :: rates = &
(/ 1.38e-13, 1.43e-13,2.71e-13, 6.60e-13,1.47e-12,2.88e-12,9.10e-12,1.78e-11,2.73e-11,&
3.67e-11,5.38e-11,6.86e-11,8.14e-11,9.25e-11, &
1.02e-10,1.11e-10,1.19e-10,1.75e-10,2.09e-10,2.56e-10,2.91e-10,3.31e-10,4.27e-10,&
4.97e-10,6.03e-10,6.87e-10,7.87e-10/)
real(dl) kappa_HH_21cm, logT, logRate
real(dl), save, dimension(:), allocatable :: logRates, logTemps, ddlogRates
integer xlo, xhi
real(dl) :: a0, b0, ho
if (.not. allocated(logRates)) then
allocate(logRates(n_table),logTemps(n_table),ddlogRates(n_table))
logRates = log(real(rates,dl)*0.01**3)
logTemps = log(real(Temps,dl))
call spline_def(logTemps,logRates,n_table,ddlogRates)
end if
if (T<=Temps(1)) then
if (deriv) then
kappa_HH_21cm = 0
else
kappa_HH_21cm = rates(1)*0.01**3
end if
return
elseif (T >=Temps(n_table)) then
if (deriv) then
kappa_HH_21cm = 0
else
kappa_HH_21cm = rates(n_table)*0.01**3
end if
return
end if
logT = log(T)
xlo=0
do xhi=2, n_table
if (logT < logTemps(xhi)) then
xlo = xhi-1
exit
end if
end do
xhi = xlo+1
ho=logTemps(xhi)-logTemps(xlo)
a0=(logTemps(xhi)-logT)/ho
b0=1-a0
if (deriv) then
kappa_HH_21cm = (logRates(xhi) - logRates(xlo))/ho + &
( ddlogRates(xhi)*(3*b0**2-1) - ddlogRates(xlo)*(3*a0**2-1))*ho/6
! kappa_HH_21cm = derivpolevl(logT,fit,7)
else
logRate = a0*logRates(xlo)+ b0*logRates(xhi)+ ((a0**3-a0)* ddlogRates(xlo) +(b0**3-b0)*ddlogRates(xhi))*ho**2/6
kappa_HH_21cm = exp(logRate)
! kappa_HH_21cm = exp(polevl(logT,fit,7))*0.01**3
end if
end function kappa_HH_21cm
function kappa_eH_21cm(T, deriv)
!Polynomail fit to electron-Hydrogen collision rate as function of Tmatter; from astro-ph/0608032
!if deriv return d log kappa / d log T
! from astro-ph/0608032
! 1 2.39e-10
! 2 3.37e-10
! 5 5.3e-10
! 10 7.46e-10
! 20 1.05e-9
! 50 1.63e-9
! 100 2.26e-9
! 200 3.11e-9
! 500 4.59e-9
! 1000 5.92e-9
! 2000 7.15e-9
! 5000 8.17e-9
! 10000 8.37e-9
! 15000 8.29e-9
! 20000 8.11e-9
real(dl), intent(in) :: T
logical, intent(in) :: deriv
real(dl), dimension(6), parameter :: fit = &
(/5.86236d-005, -0.00171375_dl, 0.0137303_dl, -0.0435277_dl, 0.540905_dl,-22.1596_dl /)
real(dl) kappa_eH_21cm, logT
logT = log(T)
if (deriv) then
kappa_eH_21cm = derivpolevl(logT,fit,5)
else
kappa_eH_21cm = exp(polevl(logT,fit,5))*0.01**3
end if
end function kappa_eH_21cm
function kappa_pH_21cm(T, deriv) ! from astro-ph/0702487
!Not actually used
!Polynomail fit to proton-Hydrogen collision rate as function of Tmatter
!if deriv return d log kappa / d log T
real(dl), intent(in) :: T
logical, intent(in) :: deriv
integer, parameter :: n_table = 17
integer, dimension(n_table), parameter :: Temps = &
(/ 1, 2, 5, 10,20,50,100,200,500,1000,2000,3000,5000,7000,10000,15000,20000/)
real, dimension(n_table), parameter :: rates = &
(/ 0.4028, 0.4517,0.4301,0.3699,0.3172,0.3047, 0.3379, 0.4043, 0.5471, 0.7051, 0.9167, 1.070, &
1.301, 1.48,1.695,1.975,2.201/)
real(dl) kappa_pH_21cm, logT, logRate
real(dl), save, dimension(:), allocatable :: logRates, logTemps, ddlogRates
integer xlo, xhi
real(dl) :: a0, b0, ho
real(dl):: factor = 0.01**3*1e-9
if (.not. allocated(logRates)) then
allocate(logRates(n_table),logTemps(n_table),ddlogRates(n_table))
logRates = log(real(rates,dl)*factor)
logTemps = log(real(Temps,dl))
call spline_def(logTemps,logRates,n_table,ddlogRates)
end if
if (T<=Temps(1)) then
if (deriv) then
kappa_pH_21cm = 0
else
kappa_pH_21cm = rates(1)*factor
end if
return
elseif (T >=Temps(n_table)) then
if (deriv) then
kappa_pH_21cm = 0
else
kappa_pH_21cm = rates(n_table)*factor
end if
return
end if
logT = log(T)
xlo=0
do xhi=2, n_table
if (logT < logTemps(xhi)) then
xlo = xhi-1
exit
end if
end do
xhi = xlo+1
ho=logTemps(xhi)-logTemps(xlo)
a0=(logTemps(xhi)-logT)/ho
b0=1-a0
if (deriv) then
kappa_pH_21cm = (logRates(xhi) - logRates(xlo))/ho + &
( ddlogRates(xhi)*(3*b0**2-1) - ddlogRates(xlo)*(3*a0**2-1))*ho/6
else
logRate = a0*logRates(xlo)+ b0*logRates(xhi)+ ((a0**3-a0)* ddlogRates(xlo) +(b0**3-b0)*ddlogRates(xhi))*ho**2/6
kappa_pH_21cm = exp(logRate)
end if
end function kappa_pH_21cm
function polevl(x,coef,N)
integer N
real(dl) polevl
real(dl) x,ans
real(dl) coef(N+1)
integer i
ans=coef(1)
do i=2,N+1
ans=ans*x+coef(i)
end do
polevl=ans
end function polevl
function derivpolevl(x,coef,N)
integer N
real(dl) derivpolevl
real(dl) x,ans
real(dl) coef(N+1)
integer i
ans=coef(1)*N
do i=2,N
ans=ans*x+coef(i)*(N-i+1)
end do
derivpolevl=ans
end function derivpolevl
end module DarkAge21cm