Nonlinear waves in a hot, viscous and nonextensive quark gluon plasma

TL;DR

This paper investigates how non-extensive statistics influence nonlinear wave propagation in a viscous quark-gluon plasma, revealing solitonic behavior and dissipation effects that depend on medium parameters, with potential as a diagnostic tool.

Contribution

It demonstrates that nonlinear waves in a non-extensive quark-gluon plasma follow KdV-type equations, highlighting the impact of non-extensive statistics on wave dynamics and dissipation.

Findings

Nonlinear waves exhibit solitonic behavior with dissipation.

Wave speed and depletion depend on Tsallis parameter and temperature.

Small transport coefficients lead to wave breaking.

Abstract

The effects of the non-extensive statistics on the nonlinear propagation of perturbations have been studied within the scope of relativistic second order dissipative hydrodynamics with the non-extensive equation of state. We have shown that the equations, describing the propagation of nonlinear waves under such situation are KdV-type (Korteweg-De Vries). Apart from their preserved solitonic behaviour the dissipative nature of these waves are also observed. The waves with larger amplitude and width dissipate less and propagate faster and these waves deplete more for both smaller values of Tsallis parameter ($q$) and temperature ($T$) of the medium. For vanishingly small transport coefficients the nonlinear waves show breaking nature. These findings suggest that the nature of the propagation of the nonlinear waves may serve as a good probe to differentiate between the extensive and non-extensive thermodynamic nature of a fluid, such as the quark-gluon plasma, produced in relativistic nuclear collisions.