Essential discreteness in generalized thermostatistics with non-logarithmic entropy

Details Essential discreteness in generalized thermostatistics with non-logarithmic entropy Essential discreteness in generalized thermostatistics with non-logarithmic entropy

2010-05-27

arxiv.org/abs/1005.5110v1

Europhysics Letters 90, 50004 (2010)

Physics

Condensed Matter

Statistical Mechanics

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

Scientific paper

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.

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