Equations of state and transport equations in viscous cosmological models

Details Equations of state and transport equations in viscous cosmological models Equations of state and transport equations in viscous cosmological models

Aug 1993

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1993phrvd..48.1597z&link_type=abstract

Physical Review D (Particles, Fields, Gravitation, and Cosmology), Volume 48, Issue 4, 15 August 1993, pp.1597-1601

Mathematics

Logic

38

Nonequilibrium And Irreversible Thermodynamics

Scientific paper

The aim of this paper is to compare the evolution of viscous cosmological models for three different constitutive equations for the viscous pressure σ, namely: Eckart theory (σ=-ξ∇μuμ), Maxwell-Cattaneo theory (σ+τσ˙=-ξ∇μuμ), and generalized second-order Israel-Stewart theory (σ+τσ˙= -ξ∇μuμ-1/2ξσTρuμ∇μ(vτ/Tξ)). In the last case, the nonlinear terms may be interpreted as a consequence of nonlinear equations of state for absolute temperature and thermodynamic pressure. We show that the nonlinear terms of the latter equation are compatible with a viscosity-driven inflationary expansion.

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