| Issue |
EPL
Volume 90, Number 5, June 2010
|
|
|---|---|---|
| Article Number | 50004 | |
| Number of page(s) | 4 | |
| Section | General | |
| DOI | https://doi.org/10.1209/0295-5075/90/50004 | |
| Published online | 29 June 2010 | |
Essential discreteness in generalized thermostatistics with non-logarithmic entropy
1
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: suabe@sf6.so-net.ne.jp
Received:
15
December
2009
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
Current usage metrics show cumulative count of Article Views (full-text article views including HTML views, PDF and ePub downloads, according to the available data) and Abstracts Views on Vision4Press platform.
Data correspond to usage on the plateform after 2015. The current usage metrics is available 48-96 hours after online publication and is updated daily on week days.
Initial download of the metrics may take a while.