New Method of Modelling Dissipative Hydrodynamics

TL;DR

This paper introduces a simplified model of dissipative hydrodynamics using a nonextensive perfect fluid framework, where the nonextensivity parameter encapsulates viscous effects in multiparticle production processes.

Contribution

It presents a novel approach to model dissipative hydrodynamics with a perfect nonextensive fluid, simplifying the formalism while capturing viscous effects through the parameter q.

Findings

$q$-hydrodynamics offers a simpler formalism than traditional dissipative models.

The nonextensivity parameter $q$ effectively describes viscous behavior.

The approach provides a unified description of multiparticle production processes.

Abstract

We propose to model the dissipative hydrodynamics used in description of the multiparticle production processes ($d$-hydrodynamics) by a special kind of the perfect nonextensive fluid ($q$-fluid) where $q$ denotes the nonextensivity parameter appearing in the nonextensive Tsallis statistics. The advantage of $q$-hydrodynamics lies in its formal simplicity in comparison to the $d$-hydrodynamics. We argue that parameter $q$ describes summarily (at least to some extent) all dynamical effects behind the viscous behavior of the hadronic fluid.