THE FLUCTUATION DISSIPATION THEOREM IN THE FRAMEWORK OF THE TSALLIS STATISTICS

In the framework of a generalized statistical mechanics introduced rec ently by Tsallis, we derive a generalized form of the fluctuation-diss ipation theorem, which expresses a relation between extended susceptib ilities and equilibrium fluctuations. To achieve this, we consistently propose a generalized functional form for the instantaneous distribut ion function. The present theorem recovers as particular cases the cor responding generalized relations already obtained for the specific hea t in terms of the generalized energy fluctuations and for the suscepti bility of a magnetic system under the action of a uniform magnetic fie ld.