Evolution of Temperature Fluctuation in a Thermal bath and, its implications in Hadronic and Heavy-Ion Collisions

TL;DR

This paper derives an evolution equation for temperature fluctuations in a medium using Boltzmann Transport Equation, analyzes their behavior in heavy-ion collisions, and explores viscosity effects and implications for hadronic and heavy-ion collision experiments.

Contribution

It introduces a new evolution equation for temperature fluctuations considering anisotropy and inhomogeneity within a medium, incorporating viscosity effects.

Findings

Viscosity influences the variation of temperature fluctuations.

Temperature fluctuations evolve distinctly in the Fourier space after heavy-ion collisions.

Implications for hadronic and heavy-ion collision phenomenology are discussed.

Abstract

The evolution equation for inhomogeneous and anisotropic temperature fluctuations inside a medium is derived within the ambit of Boltzmann Transport Equation. Also, taking some existing realistic inputs we have analyzed the Fourier space variation of temperature fluctuation for the medium created after heavy-ion collisions. The effect of viscosity on the variation of fluctuations is investigated. Further, possible implications in hadronic and heavy-ion collisions are explored.