Exact solution of the (0+1)-dimensional Boltzmann equation for massive Bose-Einstein and Fermi-Dirac gases

Abstract

We present the exact solution of the (0+1)-dimensional Boltzmann equation for massive Bose-Einstein and Fermi-Dirac gases. For the initial conditions used typically in ultra-relativistic heavy-ion collisions, we find that the effects of quantum statistics are very small for thermodynamics-like functions such as the effective temperature, energy density or transverse and longitudinal pressures. Similarly, the inclusion of quantum statistics affects very little the shear viscosity. On the other hand, the quantum statistics becomes important for description of the phenomena connected with the bulk viscosity.

arXiv commentversion published in JPG, slightly modified numerical results for the bulk pressure, physics conclusions unchanged

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Cited by in corpus (19)

• Relativistic anisotropic hydrodynamics
• The non-equilibrium attractor for kinetic theory in relaxation time approximation
• Bottomonium suppression using a lattice QCD vetted potential
• Relativistic quantum transport coefficients for second-order viscous hydrodynamics
• Coupled kinetic equations for quarks and gluons in the relaxation time approximation
• Photon production from a non-equilibrium quark-gluon plasma
• On higher order and anisotropic hydrodynamics for Bjorken and Gubser flows
• Dilepton production from the quark-gluon plasma using (3+1)-dimensional anisotropic dissipative hydrodynamics
• Helical massive fermions under rotation
• Anisotropic hydrodynamics for mixture of quark and gluon fluids
• Testing different formulations of leading-order anisotropic hydrodynamics
• Thermal expectation values of fermions on anti-de Sitter space-time
• Maxwell-Juttner distribution for rigidly-rotating flows in spherically symmetric spacetimes using the tetrad formalism
• Anisotropic-hydrodynamics approach to a quark-gluon fluid mixture
• Analysis of scalar and fermion quantum field theory on anti-de Sitter space-time
• Far-from-equilibrium attractors for massive kinetic theory in the relaxation time approximation
• Quantum corrections in thermal states of fermions on anti-de Sitter space-time
• Lattice Boltzmann study of the one-dimensional boost-invariant expansion with anisotropic initial conditions
• Kinetic equations and anisotropic hydrodynamics for quark and gluon fluids