Volume 90, Number 5, June 2010
|Number of page(s)||4|
|Published online||29 June 2010|
Essential discreteness in generalized thermostatistics with non-logarithmic entropy
Department of Physical Engineering, Mie University - Mie 514-8507, Japan
2 Institut Supérieur des Matériaux et Mécaniques Avancés - 44 F. A. Bartholdi, 72000 Le Mans, France, EU
3 Inspire Institute Inc. - Alexandria, VA 22303, USA
Corresponding author: firstname.lastname@example.org
Accepted: 27 May 2010
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 non-extensive statistical mechanics.
PACS: 05.20.-y – Classical statistical mechanics / 05.70.-a – Thermodynamics
© EPLA, 2010
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