def plot_pbh_per_mass(redshift):
"""Plot the PBH merger rate per unit volume as a function of halo mass"""
mass = np.logspace(2, 15)
hh = NFWHalo(redshift, conc_model="ludlow")
hh.conc_model = concentration.LudlowConcentration(hh.overden.Dofz)
plt.loglog(mass,
hh.halomergerratepervolume(mass),
ls='-',
label="Ludlow concentration")
hh.conc_model = concentration.PradaConcentration(hh.overden.omega_matter0)
plt.loglog(mass,
hh.halomergerratepervolume(mass),
ls='--',
label="Prada concentration")
hh.conc_model = concentration.LudlowConcentration(hh.overden.Dofz)
hh.mass_function = hh.press_schechter
plt.loglog(mass,
hh.halomergerratepervolume(mass),
ls=':',
label="Press-Schechter m.f.")
hh.mass_function = hh.jenkins
plt.loglog(mass,
hh.halomergerratepervolume(mass),
ls='-.',
label="Jenkins m.f.")
plt.xlim(500, 1e15)
plt.xticks(np.logspace(3, 15, 5))
plt.xlabel(r"$M_\mathrm{vir}$ ($M_\odot/h$)")
plt.ylabel(r"Merger rate (yr$^{-1}$ Gpc$^{-3}$)")
plt.ylim(1e-8, 1)
#plt.title("Total mergers is area under this curve")
plt.legend(loc=0)
plt.savefig("volumemergerrate.pdf")
plt.clf()
def __init__(self,
*args,
conc_model="ludlow",
conc_value=1.,
hubble=0.67,
**kwargs):
self.ureg = pint.UnitRegistry()
self.ureg.define("Msolar = 1.98855*10**30 * kilogram")
#Mpc newton's constant and light speed are already defined.
#Hubble constant and related objects!
#The try except is because the method names change between pint 0.6 and pint 0.8
try:
self.ureg.define(
pint.unit.UnitDefinition('hub', '', (),
pint.unit.ScaleConverter(hubble)))
except AttributeError:
self.ureg.define(
pint.definitions.UnitDefinition(
'hub', '', (), pint.converters.ScaleConverter(hubble)))
self.ureg.define("Msolarh = Msolar / hub")
self.ureg.define("Mpch = Mpc / hub")
#Factor of R_s at which the maximum circular velocity of the halo is reached.
self.dmax = 2.1626
super().__init__(*args, **kwargs)
if conc_model == "ludlow":
self.conc_model = concentration.LudlowConcentration(
self.overden.Dofz)
elif conc_model == "prada":
self.conc_model = concentration.PradaConcentration(
self.overden.omega_matter0)
else:
self.conc_model = concentration.ConstantConcentration(conc_value)
def plot_concentration_vs_mass(redshift):
"""Plot the concentration as a function of halo mass"""
mass = np.logspace(2,16)
hh = NFWHalo(redshift)
plt.loglog(mass, hh.concentration(mass), ls='-', label="Ludlow concentration")
hh.conc_model = concentration.PradaConcentration(hh.overden.omega_matter0)
plt.loglog(mass, hh.concentration(mass), ls='--', label="Prada concentration")
plt.xlim(500,1e16)
plt.xticks(np.logspace(3,15,5))
plt.xlabel(r"$M_\mathrm{vir}$ ($M_\odot/h$)")
plt.ylabel(r"Concentration")
plt.ylim(1e-8, 1)
plt.legend(loc=0)
plt.savefig("concentration.pdf")
plt.clf()
def merger_at_z(z, conc="Ludlow", halo="Einasto"):
"""Compute the merger rate at a given redshift"""
if halo=="Einasto":
hh = EinastoHalo(z)
else:
hh = NFWHalo(z)
if conc=="Ludlow":
hh.conc_model = concentration.LudlowConcentration(hh.overden.Dofz)
else:
hh.conc_model = concentration.PradaConcentration(hh.overden.omega_matter0)
merg = hh.mergerpervolume(400)
#Note that this is Gpc/yr in
#the rest frame of the event.
#For the rest frame of the observer,
#you need to account for time dilation.
return merg.to('Gpc**(-3) year**(-1)') / (1+z)
def plot_pbh_halo(redshift):
"""Plot the PBH merger rate as a function of halo mass."""
mass = np.logspace(2, 15)
hh = NFWHalo(redshift)
hh.conc_model = concentration.LudlowConcentration(hh.overden.Dofz)
pbhrate = hh.pbhpbhrate(mass)
hh.conc_model = concentration.PradaConcentration(hh.overden.omega_matter0)
pbhrate_prada = hh.pbhpbhrate(mass)
plt.loglog(mass, pbhrate, ls='-', label="Ludlow")
plt.loglog(mass, pbhrate_prada, ls='--', label="Prada")
plt.loglog(mass, hh.pbhpbhrate(1e9) * mass / 1e9, ls='-.', color="black")
plt.xlabel(r"$M_\mathrm{vir}$ ($M_\odot/h$)")
plt.ylabel(r"Merger rate per halo (yr$^{-1}$)")
plt.xlim(300, 1e15)
plt.ylim(1e-15, 1e-10)
plt.xticks(np.logspace(3, 15, 5))
plt.legend(loc=0)
plt.savefig("halomergerrate.pdf")
plt.clf()
