Thermodynamical entropy (and its additivity) within generalized thermodynamics

M.P. Almeida

Physica A: Statistical Mechanics and its Applications, 2003, vol. 325, issue 3, 426-438

Abstract: This is an analysis of the thermodynamical entropy of systems with finite heat baths and of its additivity. It is presented an expression for the physical entropy of weakly interacting ergodic systems, and it is shown how it relates to the traditional entropies of the micro-canonical (constant energy), the canonical Boltzmann–Gibbs (infinite heat bath) and the Tsallis (finite heat bath) ensembles. This physical entropy contains one term that is a variant of the Tsallis entropy, and it becomes an additive function after a suitable choice of additive constants, in a procedure reminiscent to the solution presented by Gibbs to the paradox bearing his name.

Keywords: Thermodynamical entropy; Generalized thermo-statistics; Additivity (search for similar items in EconPapers)
Date: 2003
References: View complete reference list from CitEc
Citations:

Downloads: (external link)
http://www.sciencedirect.com/science/article/pii/S0378437103002620
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:325:y:2003:i:3:p:426-438

DOI: 10.1016/S0378-4371(03)00262-0

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 ().