This tests simulates the decoupling of sterile neutrinos in the quark-gluon plasma.
import os
import numpy
import matplotlib
from collections import defaultdict
from plotting import plt, RadiationParticleMonitor, MassiveParticleMonitor
from particles import Particle
from library.SM import particles as SMP # , interactions as SMI
from library.NuMSM import particles as NuP, interactions as NuI
from evolution import Universe
from common import UNITS, Params, GRID
folder = os.path.split(__file__)[0]
T_initial = 1.5 * UNITS.GeV
T_final = 100 * UNITS.MeV
params = Params(T=T_initial,
dy=0.025)
universe = Universe(params=params, logfile=os.path.join(folder, 'log.txt'))
photon = Particle(**SMP.photon)
electron = Particle(**SMP.leptons.electron)
muon = Particle(**SMP.leptons.muon)
tau = Particle(**SMP.leptons.tau)
neutrino_e = Particle(**SMP.leptons.neutrino_e)
neutrino_mu = Particle(**SMP.leptons.neutrino_mu)
neutrino_tau = Particle(**SMP.leptons.neutrino_tau)
up = Particle(**SMP.quarks.up)
down = Particle(**SMP.quarks.down)
top = Particle(SMP.quarks.top) bottom = Particle(SMP.quarks.bottom)
sterile = Particle(**NuP.sterile_neutrino(300 * UNITS.MeV))
sterile.decoupling_temperature = T_initial
universe.add_particles([
photon,
electron,
muon,
tau,
neutrino_e,
neutrino_mu,
neutrino_tau,
up,
down,
strange,
sterile,
])
thetas = defaultdict(float, {
'electron': 1e-4,
})
universe.interactions += (
NuI.sterile_leptons_interactions(
thetas=thetas, sterile=sterile,
neutrinos=[neutrino_e, neutrino_mu, neutrino_tau],
leptons=[electron, muon, tau]
)
+ NuI.sterile_quark_interactions(
thetas=thetas, sterile=sterile,
neutrinos=[neutrino_e, neutrino_mu, neutrino_tau],
leptons=[electron, muon, tau],
quarks=[up, down, strange]
)
)
universe.graphics.monitor([
(neutrino_e, RadiationParticleMonitor),
(sterile, MassiveParticleMonitor),
])
universe.evolve(T_final)
universe.graphics.save(__file__)
plt.figure(9)
plt.title('Figure 9')
plt.xlabel('MeV/T')
plt.ylabel(u'aT')
plt.xscale('log')
plt.xlim(UNITS.MeV/T_initial, UNITS.MeV/universe.params.T)
plt.plot(UNITS.MeV / numpy.array(universe.data['T']), numpy.array(universe.data['aT']) / UNITS.MeV)
plt.show()
plt.savefig(os.path.join(folder, 'figure_9.svg'))
plt.figure(10)
plt.title('Figure 10')
plt.xlabel('Conformal momentum y = pa')
plt.ylabel('f/f_eq')
plt.xlim(0, 20)
f_sterile = sterile._distribution
feq_sterile = sterile.equilibrium_distribution()
plt.plot(GRID.TEMPLATE/UNITS.MeV, f_sterile/feq_sterile, label="sterile")
plt.legend()
plt.draw()
plt.show()
plt.savefig(os.path.join(folder, 'figure_10_full.svg'))
plt.xlim(0, 10)
Distribution functions arrays
distributions_file = open(os.path.join(folder, 'distributions.txt'), "w")
numpy.savetxt(distributions_file, (f_sterile, feq_sterile, f_sterile/feq_sterile),
header=str(sterile), footer='-'*80, fmt="%1.5e")
distributions_file.close()