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

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

2011-08-29

arxiv.org/abs/1108.5561v2

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

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

Scientific paper

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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