Fluctuation and Dissipation from a Deformed String/Gauge Duality Model

Understand

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.