Family of additive entropy functions out of thermodynamic limit
Family of additive entropy functions out of thermodynamic limit
We derive a one-parametric family of entropy functions that respect the additivity condition, and which describe effects of finiteness of statistical systems, in particular, distribution functions with long tails. This one-parametric family is different from the Tsallis entropies, and is a convex combination of the Boltzmann-Gibbs-Shannon entropy and the entropy function proposed by Burg. An example of how longer tails are described within the present approach is worked out for the canonical ensemble. We also discuss a possible origin of a hidden statistical dependence, and give explicit recipes on how to construct corresponding generalizations of the master equation.
016104-[7pp.]
Gorban, Alexander N.
31914661-757a-4b6b-a953-109ac7499746
Karlin, Ilya V.
807bea87-3f45-44a7-9051-fe8452d9c10a
January 2003
Gorban, Alexander N.
31914661-757a-4b6b-a953-109ac7499746
Karlin, Ilya V.
807bea87-3f45-44a7-9051-fe8452d9c10a
Gorban, Alexander N. and Karlin, Ilya V.
(2003)
Family of additive entropy functions out of thermodynamic limit.
Physical Review E, 67 (1), .
(doi:10.1103/PhysRevE.67.016104).
Abstract
We derive a one-parametric family of entropy functions that respect the additivity condition, and which describe effects of finiteness of statistical systems, in particular, distribution functions with long tails. This one-parametric family is different from the Tsallis entropies, and is a convex combination of the Boltzmann-Gibbs-Shannon entropy and the entropy function proposed by Burg. An example of how longer tails are described within the present approach is worked out for the canonical ensemble. We also discuss a possible origin of a hidden statistical dependence, and give explicit recipes on how to construct corresponding generalizations of the master equation.
This record has no associated files available for download.
More information
Submitted date: 27 March 2002
Published date: January 2003
Identifiers
Local EPrints ID: 49170
URI: http://eprints.soton.ac.uk/id/eprint/49170
ISSN: 1063-651X
PURE UUID: e79960d2-f42f-4817-aa3c-8f0b31b0856c
Catalogue record
Date deposited: 26 Oct 2007
Last modified: 15 Mar 2024 09:53
Export record
Altmetrics
Contributors
Author:
Alexander N. Gorban
Author:
Ilya V. Karlin
Download statistics
Downloads from ePrints over the past year. Other digital versions may also be available to download e.g. from the publisher's website.
View more statistics