Nonextensive/dissipative correspondence in relativistic hydrodynamics

TL;DR

This paper explores a deep connection between nonextensive perfect hydrodynamics and dissipative hydrodynamics, providing a simplified expression for the dissipative entropy current, which could unify different hydrodynamic descriptions.

Contribution

It introduces the nonextensive/dissipative correspondence (NexDC) that links perfect nonextensive hydrodynamics with dissipative hydrodynamics, offering new insights into their relationship.

Findings

Establishes a correspondence between nonextensive and dissipative hydrodynamics

Derives a simple expression for the dissipative entropy current

Suggests a unified framework for different hydrodynamic models

Abstract

We argue that there is profound correspondence (the nonextensive/dissipative correspondence - NexDC) between the perfect nonextensive hydrodynamics and the usual dissipative hydrodynamics which leads to simple expression for dissipative entropy current.