On the Coefficients of a Hyperbolic Hydrodynamic Model
  Based on the Nakajima-Zubarev type nonequilibrium density operator, we derive a hyperbolic hydrodynamical equation. Microscopic Kubo-formulas for all coefficients in the hyperbolic hydrodynamics are obtained. Coefficients $\alpha_{i}$'s and $\beta_{i}$'s in the Israel-Stewart equation are given as current-weighted correlation lengths which are to be calculated in statistical mechanics. 
Shin Muroya and Masashi Mizutani
hep-ph cond-mat.stat-mech nucl-th