1108.5561 (Paul Romatschke)

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

Paul Romatschke

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.

View original: http://arxiv.org/abs/1108.5561