Generalized Entropy and Transport Coefficients of Hadronic Matter

TL;DR

This paper employs the generalized entropy four-current in relativistic dissipative fluid theory to derive non-classical entropy flux coefficients and compute classical transport coefficients using Green-Kubo relations.

Contribution

It introduces a method to relate entropy fluctuations to transport coefficients in relativistic fluids via generalized entropy and Green-Kubo formulas.

Findings

Derived non-classical entropy flux coefficients from equilibrium distributions.

Computed classical transport coefficients using fluctuation data.

Linked entropy fluctuations to transport properties in relativistic hydrodynamics.

Abstract

We use the generalized entropy four-current of the Muller-Israel-Stewart (MIS) theory of relativistic dissipative fluids to obtain information about fluctuations around equilibrium. This allows one to compute the non-classical coefficients of the entropy 4-flux in terms of the equilibrium distribution functions. The Green-Kubo formulae are used to compute the classical or standard transport coefficients from the fluctuations of entropy due to dissipative fluxes.