Fluctuation and Dissipation from a Deformed String/Gauge Duality Model

TL;DR

This paper investigates thermal fluctuations and linear response in a Lorentz-invariant deformed string/gauge duality model at finite temperature, verifying the fluctuation-dissipation theorem and analyzing ballistic and diffusive behaviors.

Contribution

It introduces a new deformed AdS$_5$ model with an exponential metric factor and explores fluctuation, response, and dissipation properties at both finite and zero temperature.

Findings

Verified the fluctuation-dissipation theorem in the deformed model

Computed string energy and mean square displacement for different regimes

Analyzed dissipation and response at zero temperature

Abstract

Using a Lorentz invariant deformed string/gauge duality model at finite temperature we calculate the thermal fluctuation and the corresponding linear response, verifying the fluctuation-dissipation theorem. The deformed AdS$_5$ is constructed by the insertion of an exponential factor $\exp(k/r^2)$ in the metric. We also compute the string energy and the mean square displacement in order to investigate the ballistic and diffusive regimes. Furthermore we have studied the dissipation and the linear response in the zero temperature scenario.