-
Notifications
You must be signed in to change notification settings - Fork 17
/
example_exp_potential.py
executable file
·188 lines (151 loc) · 5.46 KB
/
example_exp_potential.py
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
#!/usr/bin/env python
#
# example_exp_potential.py
#
# Mon May 22 16:00:00 2023
# Copyright 2023 Sandro Dias Pinto Vitenti
# <vitenti@uel.br>
#
# example_exp_potential.py
# Copyright (C) 2023 Sandro Dias Pinto Vitenti <vitenti@uel.br>
#
# numcosmo is free software: you can redistribute it and/or modify it
# under the terms of the GNU General Public License as published by the
# Free Software Foundation, either version 3 of the License, or
# (at your option) any later version.
#
# numcosmo is distributed in the hope that it will be useful, but
# WITHOUT ANY WARRANTY; without even the implied warranty of
# MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.
# See the GNU General Public License for more details.
#
# You should have received a copy of the GNU General Public License along
# with this program. If not, see <http://www.gnu.org/licenses/>.
"""Example using exponential potential cosmology."""
import math
import numpy as np
import matplotlib.pyplot as plt
from numcosmo_py import Nc, Ncm
#
# Initializing the library objects, this must be called before
# any other library function.
#
Ncm.cfg_init()
def test_Vexp() -> None:
"""Example using exponential potential cosmology."""
#
# New homogeneous and isotropic cosmological model: NcHICosmoVexp
#
cosmo1 = Nc.HICosmoVexp()
cosmo2 = Nc.HICosmoVexp()
cosmo1.props.alphab = +1.0e-1
cosmo1.props.sigmaphi = +8.0e-1
cosmo1.props.dphi = +5.0e-1
# cosmo1.props.xb = 4.8e37
cosmo1.props.xb = 1.0e37
cosmo1.props.OmegaL = 1.0e0
cosmo1.props.Omegac = 1.0
cosmo1.props.H0 = 67.8
cosmo2.props.alphab = +1.0e-1
cosmo2.props.sigmaphi = +8.0e-1
cosmo2.props.dphi = +5.0e-1
# cosmo2.props.xb = 4.8e37
cosmo2.props.xb = 1.0e37
cosmo2.props.OmegaL = 1.0e0
cosmo2.props.Omegac = 1.0
cosmo2.props.H0 = 67.8
tau_min = max(cosmo1.tau_min(), cosmo1.tau_xc(1.0e-5))
tau_max = min(cosmo1.tau_max(), -cosmo1.tau_xc(1.0e-5))
k = 1.0e0
xb = cosmo1.xbe()
print(f"# tau interval: ({tau_min: 22.15g}, {tau_max: 22.15g})")
Nn = 100000
LS = 1.0e-30
tau_a = np.concatenate(
(
np.geomspace(tau_min, -LS, int(Nn / 2)),
np.geomspace(LS, tau_max, int(Nn / 2)),
),
axis=0,
)
alpha_a = []
nu1_a = []
mnu1_a = []
mnu_gw1_a = []
dlnmnu1_a = []
dlnmnu_gw1_a = []
Eaa01_a = []
x1_a = []
y1_a = []
nu2_a = []
mnu2_a = []
mnu_gw2_a = []
dlnmnu2_a = []
dlnmnu_gw2_a = []
Eaa02_a = []
x2_a = []
y2_a = []
for tau in tau_a:
nu1, dlnmnu1 = cosmo1.eval_system(tau, k)
mnu1 = cosmo1.eval_mnu(tau, k)
mnu_gw1 = Nc.HIPertIGW.eval_mnu(cosmo1, tau, k)
nu2, dlnmnu2 = cosmo2.eval_system(tau, k)
mnu2 = cosmo2.eval_mnu(tau, k)
mnu_gw2 = Nc.HIPertIGW.eval_mnu(cosmo2, tau, k)
_nu_gw1, dlnmnu_gw1 = Nc.HIPertIGW.eval_system(cosmo1, tau, k)
_nu_gw2, dlnmnu_gw2 = Nc.HIPertIGW.eval_system(cosmo2, tau, k)
Eaa01 = k * tau / nu1
Eaa02 = k * tau / nu2
(x1, y1) = cosmo1.x_y(tau)
(x2, y2) = cosmo2.x_y(tau)
alpha = 0
if tau > 0.0:
alpha = 0.5 * tau * tau / math.log(10.0)
else:
alpha = -0.5 * tau * tau / math.log(10.0)
alpha_a.append(alpha)
nu1_a.append(nu1)
mnu1_a.append(nu1 / mnu1)
mnu_gw1_a.append(nu1 / mnu_gw1)
dlnmnu1_a.append(math.fabs(k * dlnmnu1 / nu1))
dlnmnu_gw1_a.append(math.fabs(k * dlnmnu_gw1 / nu1))
Eaa01_a.append(math.fabs(Eaa01) * math.exp(-0.5 * tau * tau) * xb)
x1_a.append(x1)
y1_a.append(y1)
nu2_a.append(nu2)
mnu2_a.append(nu2 / mnu2)
mnu_gw2_a.append(nu2 / mnu_gw2)
dlnmnu2_a.append(math.fabs(k * dlnmnu2 / nu2))
dlnmnu_gw2_a.append(math.fabs(k * dlnmnu_gw2 / nu2))
Eaa02_a.append(math.fabs(Eaa02) * math.exp(-0.5 * tau * tau) * xb)
x2_a.append(x2)
y2_a.append(y2)
mylw = 1
print(
f"# tau classical: ({cosmo1.tau_qt_c(): 22.15g}, {cosmo1.tau_qt_e(): 22.15g})"
)
# plt.plot (alpha_a, np.array (x1_a)**(-2), lw=mylw, label = r'$x^{-2}_1$')
# plt.plot (alpha_a, np.array (x2_a)**(-2), lw=mylw, label = r'$x^{-2}_2$')
# plt.plot (alpha_a, nu_a, lw=mylw, label = r'$\nu$')
# plt.plot (alpha_a, mnu1_a, lw=mylw, label = r'$m_1\nu_1$')
# plt.plot (alpha_a, mnu2_a, lw=mylw, label = r'$m_2\nu_2$')
# plt.plot (alpha_a, mnu_gw_a, lw=mylw, label = r'$m_\mathrm{gw}\nu_\mathrm{gw}$')
plt.plot(alpha_a, dlnmnu1_a, lw=mylw, label=r"$\mathrm{d}\ln(m\nu)/\mathrm{d}\tau$")
# plt.plot (alpha_a, dlnmnu_gw1_a, lw=mylw,
# label = r'$\mathrm{d}\ln(m\nu)_\mathrm{gw}/\mathrm{d}\tau$')
plt.plot(alpha_a, dlnmnu2_a, lw=mylw, label=r"$\mathrm{d}\ln(m\nu)/\mathrm{d}\tau$")
# plt.plot (alpha_a, dlnmnu_gw2_a, lw=mylw,
# label = r'$\mathrm{d}\ln(m\nu)_\mathrm{gw}/\mathrm{d}\tau$')
plt.plot(alpha_a, Eaa01_a, lw=mylw, label=r"$E_1$")
plt.plot(alpha_a, Eaa02_a, lw=mylw, label=r"$E_2$")
plt.grid(b=True, which="both", linestyle=":", color="0.75", linewidth=0.5)
plt.legend(loc="best")
# plt.xscale('symlog', linthreshx=1.0e-1)
# plt.xscale('log', linthreshx=1.0e-5)
plt.yscale("log", subsy=[2, 4, 6, 8])
# plt.yscale('symlog', linthreshy=1.0e-2, linscaley = 1.0, subsy = [2])
# plt.ylim (1.0e-10, 1.0e12)
plt.show()
plt.clf()
if __name__ == "__main__":
test_Vexp()