Title
Non-extensivity of the configurational density distribution in the classical microcanonical ensemble
Author
Faculty/Department
Faculty of Sciences. Physics
Publication type
article
Publication
Subject
Physics
Source (journal)
Entropy: an international and interdisciplinary journal of entropy and information studies. - -
Volume/pages
11(2009) :2 , p. 285-294
ISSN
1099-4300
ISI
000267339200005
Carrier
E
Target language
English (eng)
Full text (Publishers DOI)
Affiliation
University of Antwerp
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.
Full text (open access)
https://repository.uantwerpen.be/docman/irua/515116/969989d9.pdf
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