Causal dissipative hydrodynamics obtained from the nonextensive/dissipative correspondence

TL;DR

This paper derives causal relativistic dissipative hydrodynamics equations from perfect nonextensive hydrodynamics using the nonextensive/dissipative correspondence, enabling applications to high energy multiparticle production processes.

Contribution

It introduces a novel derivation of dissipative hydrodynamics equations from nonextensive hydrodynamics via the NexDC, bridging perfect and dissipative models.

Findings

Proper time evolution of bulk pressure demonstrated

Reynolds number evolution shown

Application to high energy multiparticle production processes

Abstract

We derive the constitutive equations of causal relativistic dissipative hydrodynamics ($d$-hydrodynamics) from perfect nonextensive hydrodynamics ($q$-hydrodynamics) using the nonextensive/dissipative correspondence (NexDC) proposed by us recently. The $q$-hydrodynamics can be thus regarded as a possible model for the $d$-hydrodynamics facilitating its application to high energy multiparticle production processes. As an example we have shown that applying the NexDC to the perfect 1+1 $q$-hydrodynamics, one obtains a proper time evolution of the bulk pressure and the Reynolds number.