Non-extensive thermostatistics: brief review and comments

Abstract

We briefly review, with regard to physical applications, the present status of the recently introduced non-extensive thermostatistics characterized by the entropic index q (q = 1 corresponds to standard, extensive, Boltzmann-Gibbs thermostatistics). In addition to that, we comment on (i) how meta-equilibrium-equilibrium crossovers may occur as a function of time, (ii) spin glasses and the replica trick, and (iii) the theory of perceptions.