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arXiv · 1005.5110

Essential discreteness in generalized thermostatistics with non-logarithmic entropy

Sumiyoshi Abe
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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.

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Sumiyoshi Abe. 2010-05-27. Essential discreteness in generalized thermostatistics with non-logarithmic entropy. https://doi.org/10.1209/0295-5075%2F90%2F50004

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