def get_star_central_values(self):
prmObj = Prm()
star_params = prmObj.get_constants()
EoS_params = self.get_EoS_params()
Ms = star_params["Ms"]
c = star_params["c"]
pi = star_params["pi"]
r0 = self.__r0
dr =self.__dr
'''Value of barM0 for given barP0 according to the EoS'''
barM0 = (4.*pi*EoS_params["e0"]/(3.*Ms*c**2))*r0**3.*self.barE(self.barP0)
star_central_vals = {
"r0":r0,
"dr":dr,
"barM_init":barM0,
}
return star_central_vals
def __init__(self):
prmObj = Prm()
conv_factors = prmObj.get_conv_factors()
constants = prmObj.get_constants()
'''Global constants.'''
self.__mN = constants["mN"] #[gm]
self.__c = constants["c"] #[cm/s]
self.__pi = constants["pi"]
self.__hbar = constants["hbar"] # [erg . s]
self.__eN0 = self.__mN*self.__c**2 # ([erg])Rest mass energy of neutron.
'''EoS specific constants.'''
self.__A = 118.2 * conv_factors["MEV_TO_ERG"] # A[MeV] --> A[erg]
self.__B = 65.39 * conv_factors["MEV_TO_ERG"] # B[MeV] --> B[erg]
self.__sigma = 2.112 # dimension less
self.__alpha = 0.0 # Dimension less
self.__S0 = 30.0* conv_factors["MEV_TO_ERG"] #[erg]
self.__n0 = 0.16/(10**(-13))**3 # [#/(fm^3)] --> [#/(cm^3)]
self.u_lower = 0.0 # u = (n/n0)
self.u_upper = 100.0
self.__e0 = self.__mN**4*self.__c**5/(3.*self.__pi**2*self.__hbar**3) # [erg/cm^-3] # This quantity is arbitrary
self.__EF0 = (
(3.0/5.0)*(1.0/(2.0*self.__mN))
*(3.0*self.__pi**2*self.__hbar**3*self.__n0/2.0)**(2.0/3.0)
) # [erg] # <KE> of a nucleon corresponding to k_F(n) = k_F(n0)
def dbarP_dr(self, r, barM, barP):
'''
RHS of the force balance eqn in the TOV eqns.
'''
eosObj = EoS()
prmObj = Prm()
params = prmObj.get_constants()
R0 = params["R0"]
pi = params["pi"]
c = params["c"]
Ms = params["Ms"]
eosObj = EoS()
eosparams = eosObj.get_EoS_params()
e0 = eosparams["e0"]
barE = eosObj.barE(barP)
f1 = -R0 * 1.0e5 * barM * barE / r**2
f2 = 1.0 + (barP / barE)
f3 = 1.0 + (4.0 * pi * e0 / (Ms * c**2)) * (r**3) * (barP / barM)
f4 = 1.0 - 2.0 * R0 * 1.0e5 * (barM / r)
dbarP_dr = f1 * f2 * f3 / f4
return dbarP_dr
def dbarP_dr(self, r_i, barM_i, barP_i):
'''
RHS of the force balance eqn in the TOV eqns.
'''
prmObj = Prm()
params = prmObj.get_constants()
R0 = params["R0"]
pi = params["pi"]
c = params["c"]
Ms = params["Ms"]
eosparams = self.get_EoS_params()
e0 = eosparams["e0"]
barE = self.barE(barP_i)
f1 = -R0*barM_i*barE/r_i**2
f2 = 1.0 +(barP_i/barE)
f3 = 1.0 + (4.0*pi*e0/(Ms*c**2))*(r_i**3)*(barP_i/barM_i)
f4 = 1.0 - 2.0*R0*(barM_i/r_i)
dbarP_dr = f1*f2*f3/f4
return dbarP_dr
def barP(self, u, barP_i=0.0):
prmObj = Prm()
conv_factors = prmObj.get_conv_factors()
P = self.__n0 * ((2.0 * 35.1 / 3.0) * u**(5.0 / 3.0) -
(42.1 * u**2.0) + (self.__sigma * 21.0) * u**
(1.0 + self.__sigma)) * conv_factors["MEV_TO_ERG"]
barP = P / self.__e0
return (barP - barP_i)
def barEu(self, u):
prmObj = Prm()
conv_factors = prmObj.get_conv_factors()
E = self.__n0 * (
(939.6 * u) + (35.1 * u**(5.0 / 3.0)) - (42.1 * u**2.0) +
(21.0 * u**(1.0 + self.__sigma))) * conv_factors["MEV_TO_ERG"]
barE = E / self.__e0
return (barE)
def get_EoS_params(self):
paramObj = Prm()
params = paramObj.get_constants()
mN = params["mN"]
c = params["c"]
pi = params["pi"]
hbar = params["hbar"]
e0 = mN**4 * c**5 / (3. * pi**2 * hbar**3)
EoS_params = {
"gamma_rl": self.__gamma_rl,
"gamma_nrl": self.__gamma_nrl,
"A_rl": self.__A_rl,
"A_nrl": self.__A_nrl,
"e0": e0,
}
return EoS_params
def __init__(self):
prmObj = Prm()
constants = prmObj.get_constants()
'''Global constants.'''
self.__mE = constants["mE"]
self.__mP = constants["mP"]
self.__mN = constants["mN"] #[gm]
self.__c = constants["c"] #[cm/s]
self.__pi = constants["pi"]
self.__hbar = constants["hbar"] # [erg . s]
self.__n0 = 0.16 / (10**(-13))**3 # [#/(fm^3)] --> [#/(cm^3)]
self.__eN0 = self.__mN * self.__c**2 # ([erg])Rest mass energy of neutron.
'''EoS specific constants.'''
self.__sigma = 2.112
self.__e0 = self.__mN**4 * self.__c**5 / (
3. * self.__pi**2 * self.__hbar**3
) # [erg/cm^-3] # This quantity is arbitrary
self.u_lower = 0.0 # u = (n/n0)
self.u_upper = 100.0
def dbarM_dr(self, r_i, barP_i, barM_i):
'''
RHS of the mass balance equation in the TOV eqns.
'''
prmObj = Prm()
params = prmObj.get_constants()
Ms = params["Ms"]
c = params["c"]
pi = params["pi"]
eosparams = self.get_EoS_params()
e0 = eosparams["e0"]
barE = self.barE(barP_i)
dbarMdr = (4.0*pi*e0/(Ms*c**2))*(r_i**2.0*barE)
return dbarMdr
def get_star_central_values(self):
prmObj = Prm()
star_params = prmObj.get_constants()
Ms = star_params["Ms"]
pi = star_params["pi"]
r0 = self.__r0
dr = self.__dr
'''Value of barM0 for given barP0 according to the EoS'''
rho = self.get_density(self.barP0)
barM0 = (1.0 / Ms) * ((4.0 / 3.0) * pi * r0**3.0) * rho
star_central_vals = {
"r0": r0,
"dr": dr,
"barP0": self.barP0,
"barM0": barM0,
}
return star_central_vals
def __init__(self):
prmObj = Prm()
conv_factors = prmObj.get_conv_factors()
constants = prmObj.get_constants()
'''Global constants.'''
self.__mE = constants["mE"]
self.__mP = constants["mP"]
self.__mN = constants["mN"] #[gm]
self.__c = constants["c"] #[cm/s]
self.__pi = constants["pi"]
self.__hbar = constants["hbar"] # [erg . s]
self.__eN0 = self.__mN * self.__c**2 # ([erg])Rest mass energy of neutron.
'''EoS specific constants.'''
self.__t0 = 1024.1 * conv_factors["MEV_TO_ERG"] * (10**-13)**3
self.__t3 = 14600.8 * conv_factors["MEV_TO_ERG"] * (10**-13)**6
self.__n0 = 0.16 / (10**(-13))**3 # [#/(fm^3)] --> [#/(cm^3)]
self.__e0 = self.__mN**4 * self.__c**5 / (
3. * self.__pi**2 * self.__hbar**3
) # [erg/cm^-3] # This quantity is arbitrary
self.__EF0 = ((3.0 / 5.0) * (1.0 / (2.0 * self.__mN)) *
(3.0 * self.__pi**2 * self.__hbar**3 * self.__n0 / 2.0)
**(2.0 / 3.0))
self.u_lower = 0.0 # u = (n/n0)
self.u_upper = 200.0
def main():
boundary = "=" * 50
print("\n", " > ", boundary, "\n")
eosObj = EoS()
prmObj = Prm()
#eosObj.print_EoS_params()
#prmObj.print_constants()
#prmObj.print_conv_factors()
print("\n > ", boundary)
#------------------------------------------------------------------------------------------------------------
us = []
u0 = 20.0
scale = 5.0
i = 0
for i in range(30):
us.append(u0 * np.exp(-i / scale))
us = us[::-1]
#barP0s = np.array([eosObj.barP(u) for u in us ])
barP0s = [
5.0e-5,
8.0e-5,
1.0e-4,
5.0e-4,
0.001,
0.002,
0.004,
0.008,
0.01,
0.02,
0.04,
0.08,
0.1,
0.50,
1.0,
8.0,
16.0,
32.0,
64.0,
100.0,
200.0,
400.0,
800.0,
1.0e3,
2.0e3,
]
R = []
barM = []
Nil = []
for barP0 in barP0s:
NS = Star(barP0) # Instance of class NS
print("\n > barP0: {:8.7e}".format(barP0))
print(" --------------------------------------------------\n")
outdata = NS.TOV_solver() # Build star
R.append(outdata[0])
barM.append(outdata[1])
Nil.append(float("nan"))
print(" --------------------------------------------------\n")
del NS
print("\n\n")
RVsbarM = np.array([R, barM, Nil])
RVsbarM_fname = "./Output/RVsbarM.dat"
np.savetxt(RVsbarM_fname, RVsbarM.T, fmt="%6.5e", delimiter="\t")
plotObj = Plot() # Used for plotting
plotObj.single_plot(RVsbarM_fname)
print("\n > ", boundary)
def main():
boundary = "="*50
print("\n", " > ", boundary, "\n")
eosObj = EoS()
prmObj = Prm()
eosObj.print_EoS_params()
prmObj.print_constants()
prmObj.print_conv_factors()
print("\n > ",boundary)
#------------------------------------------------------------------------------------------------------------
# us = []
# u0 = 20.0
# scale = 5.0
# i = 0
# for i in range(30):
# us.append(u0*np.exp(-i/scale))
#
# us = us[::-1]
# barP0s = np.array([self.barP(u) for u in us ])
barP0s = [5.0e-5, 6.0e-5,]
while barP0s[-1] <= 2.0e3:
barP0s.append(barP0s[-2]+barP0s[-1])
R = []
barM = []
Nil = []
for barP0 in barP0s:
print("\n > barP0: {:8.7e}".format(barP0))
NS = Star(barP0) # Instance of class NS
print(" --------------------------------------------------\n")
outdata = NS.TOV_solver() # Build star
R.append(outdata[0])
barM.append(outdata[1])
Nil.append(float("nan"))
print(" --------------------------------------------------\n")
del NS
print("\n\n")
print("barM_max: ", np.array(barM).max())
RVsbarM = np.array([R, barM, Nil])
RVsbarM_fname = "./Output/RVsbarM.dat"
np.savetxt(RVsbarM_fname, RVsbarM.T, fmt="%6.5e", delimiter="\t")
if pyplot_import_error == False:
plotObj = Plot() # Used for plotting
plotObj.single_plot(RVsbarM_fname)
print("\n > ",boundary)
