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Additive generalization of the Boltzmann entropy

descriptionPublicationkeyboard_double_arrow_right Article , Preprint 27 Jun 2003Embargo end date: 01 Jan 2002 English Publisher:American Physical Society (APS)Journal:Physical Review E, volume 67 (issn: 1063-651X, eissn: 1095-3787, Copyright policy )
Authors: Gorban, A.N.; Karlin, I.V.; Ottinger, H.C.;

doi: 10.1103/physreve.67.067104 , 10.48550/arxiv.cond-mat/0209319

pmid: 16241388

arXiv: cond-mat/0209319

Additive generalization of the Boltzmann entropy

Abstract

There exists only one generalization of the classical Boltzmann-Gibbs-Shannon entropy functional to a one-parametric family of additive entropy functionals. We find analytical solution to the corresponding extension of the classical ensembles, and discuss in some detail the example of the deformation of the uncorrelated state.

10 pages, submitted to PRL

Related Organizations
Keywords

Statistical Mechanics (cond-mat.stat-mech), FOS: Physical sciences, Mathematical Physics (math-ph), Computational Physics (physics.comp-ph), 530, 510, Physics - Data Analysis, Statistics and Probability, Physics - Computational Physics, Condensed Matter - Statistical Mechanics, Mathematical Physics, Data Analysis, Statistics and Probability (physics.data-an)

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
5
Average
Average
Average
Green