Thermodynamics and Kinetic Theory of Relativistic Gases in 2-D Cosmological Models

Abstract

A kinetic theory of relativistic gases in a two-dimensional space is developed in order to obtain the equilibrium distribution function and the expressions for the fields of energy per particle, pressure, entropy per particle and heat capacities in equilibrium. Furthermore, by using the method of Chapman and Enskog for a kinetic model of the Boltzmann equation the non-equilibrium energy-momentum tensor and the entropy production rate are determined for a universe described by a two-dimensional Robertson-Walker metric. The solutions of the gravitational field equations that consider the non-equilibrium energy-momentum tensor - associated with the coefficient of bulk viscosity - show that opposed to the four-dimensional case, the cosmic scale factor attains a maximum value at a finite time decreasing to a "big crunch" and that there exists a solution of the gravitational field equations corresponding to a "false vacuum". The evolution of the fields of pressure, energy density and entropy production rate with the time is also discussed.

23 pages, accepted in PRD

Cited by in corpus (21)

• Dilaton Gravity in Two Dimensions
• Statistical mechanics in the context of special relativity II
• Viscous cosmological models and accelerated Universes
• Irreversible Processes in a Universe modelled as a mixture of a Chaplygin gas and radiation
• Fully dissipative relativistic lattice Boltzmann method in two dimensions
• Irreversible Processes in Inflationary Cosmological Models
• Ultrarelativistic Transport Coefficients in Two Dimensions
• Maxwell-Juttner distributions in relativistic molecular dynamics
• Accelerated expansion in bosonic and fermionic 2D cosmologies with quantum effects
• Relativistic dissipation obeys Chapman-Enskog asymptotics: analytical and numerical evidence as a basis for accurate kinetic simulations
• Bulk viscous cosmological model with interacting dark fluids
• Transition from accelerated to decelerated regimes in JT and CGHS cosmologies
• Thermodynamics of a morphological transition in a relativistic gas
• Dissipative properties of relativistic two-dimensional gases
• Opinion formation with upper and lower bounds
• An effective Hamiltonian for 2D black hole Physics
• Non-linear terms in 2D cosmology
• Thermal dissipation in two dimensional relativistic Fermi gases with a relaxation time model
• Modeling the Past Hypothesis: A Mechanical Cosmology
• Dissipation in 2D degenerate gases with non-vanishing rest mass
• 1D inelastic relativistic-collision