Entropy driven transformations of statistical hypersurfaces-Reference-Cited by-同舟云学术

Entropy driven transformations of statistical hypersurfaces

Published:2020-07-03 Issue:02 Volume:33 Page:2150001
ISSN:0129-055X
Container-title:Reviews in Mathematical Physics
language:en
Short-container-title:Rev. Math. Phys.

Author:

Angelelli Mario¹^ORCID,Konopelchenko Boris²

Affiliation:

1. Department of Innovation Engineering, University of Salento and Sezione INFN, Lecce 73100, Italy

2. Department of Mathematics and Physics “Ennio De Giorgi”, University of Salento and Sezione INFN, Lecce 73100, Italy

Abstract

Deformations of geometric characteristics of statistical hypersurfaces governed by the law of growth of entropy are studied. Both general and special cases of deformations are considered. The basic structure of the statistical hypersurface is explored through a differential relation for the variables, and connections with the replicator dynamics for Gibbs’ weights are highlighted. Ideal and super-ideal cases are analyzed, while considering their integral characteristics.

Publisher

World Scientific Pub Co Pte Lt

Subject

Mathematical Physics,Statistical and Nonlinear Physics

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0129055X2150001X

Reference29 articles.

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2. Jerusalem Winter School for Theoretical Physics;Gross D.,1992

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