Dissipative or just Nonextensive hydrodynamics? - Nonextensive/Dissipative correspondence -

TL;DR

This paper explores a theoretical link between nonextensive perfect hydrodynamics and traditional dissipative hydrodynamics, providing a framework to predict viscosity ratios using a simple correspondence.

Contribution

It introduces the nonextensive/dissipative correspondence (NexDC), establishing a novel theoretical connection and simplifying the calculation of dissipative entropy currents and viscosity ratios.

Findings

Derived simple expressions for dissipative entropy current.

Predicted ratios of bulk and shear viscosities to entropy density.

Established a theoretical correspondence between nonextensive and dissipative hydrodynamics.

Abstract

We argue that there is correspondence between the perfect nonextensive hydrodynamics and the usual dissipative hydrodynamics, which we call nonextensive/dissipative correspondence (NexDC). It leads to simple expression for dissipative entropy current and allows for predictions for the ratio of bulk and shear viscosities to entropy density, $\zeta/s$ and $\eta/s$.