Publication
Title
Non-extensivity of the configurational density distribution in the classical microcanonical ensemble
Author
Abstract
We show that the configurational probability distribution of a classical gas always belongs to the q-exponential family. One of the consequences of this observation is that the thermodynamics of the configurational subsystem is uniquely determined up to a scaling function. As an example we consider a system of non-interacting harmonic oscillators. In this example, the scaling function can be determined from the requirement that in the limit of large systems the microcanonical temperature of the configurational subsystem should coincide with that of the canonical ensemble. The result suggests that R´enyis entropy function is the relevant one rather than that of Tsallis.
Language
English
Source (journal)
Entropy: an international and interdisciplinary journal of entropy and information studies. - -
Publication
2009
ISSN
1099-4300
Volume/pages
11:2(2009), p. 285-294
ISI
000267339200005
Full text (Publishers DOI)
Full text (open access)
UAntwerpen
Faculty/Department
Research group
Publication type
Subject
Affiliation
Publications with a UAntwerp address
External links
Web of Science
Record
Identification
Creation 15.06.2009
Last edited 18.05.2017
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