Fluctuation and dissipation from a deformed string/gauge duality model

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.