Thermodynamic fluctuation in black string flow

TL;DR

This paper investigates thermodynamic fluctuations in black string flows using Landau-Lifshitz theory, analyzing mass and charge flux fluctuations in higher-dimensional black string models.

Contribution

It extends fluctuation analysis to black string flows with Schwarzschild-like and charged solutions in higher dimensions, providing new insights into their thermodynamic behavior.

Findings

Derived second moments of mass flux fluctuations

Derived second moments of charge flux fluctuations

Analyzed fluctuations in both neutral and charged black string flows

Abstract

It has long been noticed that Laudau-Lifshitz theory can be used to study the fluctuation of a system that contains a black hole. Since the black string can be constructed by extending n-dimensional black hole into one extra dimension. We study the fluctuation of black string flow with a Schwarzschlid-like metric in D=n+1 dimensional spacetime and a charged solution in D=5 dimensional spacetime and get the second moments of the fluctuation of the mass flux and charge flux.