Relativistic (Lattice) Boltzmann Equation with Non-Ideal Equation of State

2011/08/31 by Paul Romatschke · 3 citations
Physics and Astronomy · #gr-qc #hep-th #nucl-th #physics.flu-dyn

paper · pdf · doi:10.1103/physrevd.85.065012

19 pages, 4 figures; v2: new section IVB on shear and bulk viscosities & changes reflecting referee's comments

arxiv created 2012/02/24 · arxiv updated 2013/05/29

Abstract

The relativistic Boltzmann equation for a single particle species generally implies a fixed, unchangeable equation of state that corresponds to that of an ideal gas. Real-world systems typically have more complicated equation of state which cannot be described by the Boltzmann equation. The present work derives a 'Boltzmann-like' equation that gives rise to a conserved energy-momentum tensor with an arbitrary (but thermodynamically consistent) equation of state. Using this, a Lattice Boltzmann scheme for diagonal metric tensors and arbitrary equations of state is constructed. The scheme is verified for QCD in the Milne metric by comparing to viscous fluid dynamics.

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