Essential discreteness in generalized thermostatistics with non-logarithmic entropy

Abstract

It is shown by simple and straightforward considerations that discreteness of basic physical variables is, at least, essential for generalized statistical mechanics with non-logarithmic entropy to be thermodynamically applicable to classical systems. As a result, continuous Hamiltonian systems with long-range interactions and the so-called q-Gaussian momentum distributions are seen to be outside the scope of nonextensive statistical mechanics.

10 pages, no figures. Accepted for publication in Europhysics Letters

References in corpus (1)

• Multifractal spectrum of phase space related to generalized thermostatistics

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