The Onsager reciprocity relations within Tsallis statistics

In the framework of a generalized statistical mechanics introduced recently by Tsallis, we derive the corresponding form of the Onsager theorem. We show that this form is invariant under q, the parameter which characterizes the generalization (q = 1 yields the standard statistics). To obtain this result we assume the Onsager hypothesis for the decay of fluctuations and that the underlying principle of time symmetry of the physical laws continues to be valid within this generalized statistical mechanics. (C) 1997 Elsevier Science B.V.