Time Evolution of Temperature Fluctuation in a Non-Equilibrated System
Trambak Bhattacharyya, Prakhar Garg, Raghunath Sahoo, Prasant, Samantray
TL;DR
This paper derives an evolution equation for temperature fluctuations in a non-equilibrated medium using Boltzmann Transport Equation, analyzing effects of viscosity and implications for heavy-ion collisions and early universe cosmology.
Contribution
It introduces a new evolution equation for temperature fluctuations in anisotropic, inhomogeneous media within the BTE framework, considering viscosity effects.
Findings
Viscosity influences temperature fluctuation evolution.
Fourier analysis reveals fluctuation behavior post heavy-ion collision.
Potential cosmological implications discussed.
Abstract
The evolution equation for inhomogeneous and anisotropic temperature fluctuation inside a medium is derived within the ambit of Boltzmann Transport Equation (BTE) for a hot gas of massless particles. Also, specializing to a situation created after heavy-ion collision (HIC), we analyze the Fourier space variation of temperature fluctuation of the medium using its temperature profile. The effect of viscosity on the variation of fluctuations in the latter case is investigated and possible implications for early universe cosmology, and its connection with HICs are also explored.
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