Essential discreteness in generalized thermostatistics with non-logarithmic entropy
Statistical Mechanics
2015-05-19 v1
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.
Keywords
Cite
@article{arxiv.1005.5110,
title = {Essential discreteness in generalized thermostatistics with non-logarithmic entropy},
author = {Sumiyoshi Abe},
journal= {arXiv preprint arXiv:1005.5110},
year = {2015}
}
Comments
10 pages, no figures. Accepted for publication in Europhysics Letters