Abstract:
In the framework of non-extensive Tsallis thermodynamics, Onsager symmetry relations
for kinetic coefficients in linear regression equations for even and odd small fluctuations
of macroscopic state parameters are derived. These relations reflect at the macroscopic
level the invariance of microscopic equations of motion with respect to time reversal. As
in the case of Boltzmann-Gibbs class statistics, the conclusion is based on the theory of
equilibrium fluctuations of dynamic state parameters and on the property of invariance of
fluctuations with respect to time inversion. The Onsager postulate is used, according to
which the damping of equilibrium fluctuations of thermodynamic variables is described
by linear differential equations of the first order. Traditional reciprocity relations for additive systems are obtained from the derived relations in the case when the deformation
parameter q included in the parametric functional of the Tsallis entropy, is equal to unity.
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