A theorem on the equilibrium thermodynamics of Hamiltonian systems

Antonio Ponno

Physica A: Statistical Mechanics and its Applications, 2006, vol. 359, issue C, 162-176

Abstract: We prove a theorem stating that, within an interesting class of stationary solutions of the Liouville equation, the Tsallis q-distributions are the only ones that satisfy a condition which guarantees the existence of an integrating factor for the heat. The functional forms of the distribution as well as that of entropy, temperature and heat capacity are derived. We then explain why the Gibbs distribution, as a limit of the Tsallis one, plays a privileged role for large size ordinary molecular systems.

Keywords: Tsallis statistics; Thermodynamics of Hamiltonian systems (search for similar items in EconPapers)
Date: 2006
References: View references in EconPapers View complete reference list from CitEc
Citations:

Downloads: (external link)
http://www.sciencedirect.com/science/article/pii/S0378437105005509
Full text for ScienceDirect subscribers only. Journal offers the option of making the article available online on Science direct for a fee of $3,000

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:359:y:2006:i:c:p:162-176

DOI: 10.1016/j.physa.2005.04.042

Access Statistics for this article

Physica A: Statistical Mechanics and its Applications is currently edited by K. A. Dawson, J. O. Indekeu, H.E. Stanley and C. Tsallis

More articles in Physica A: Statistical Mechanics and its Applications from Elsevier
Bibliographic data for series maintained by Catherine Liu ().