Entropy driven transformations of statistical hypersurfaces

被引：1
|
作者：
Angelelli, Mario [1 ,2 ]
Konopelchenko, Boris [2 ,3 ]
机构：
[1] Univ Salento, Dept Innovat Engn, I-73100 Lecce, Italy
[2] Sezione Ist Nazl Fis Nucl, I-73100 Lecce, Italy
[3] Univ Salento, Dept Math & Phys Ennio De Giorgi, I-73100 Lecce, Italy
来源：
REVIEWS IN MATHEMATICAL PHYSICS | 2021年 / 33卷 / 02期
关键词：
Hypersurface; entropy; deformation; INTEGRABLE DEFORMATIONS; SURFACES; THERMODYNAMICS; DYNAMICS; LIMIT;
D O I：
10.1142/S0129055X2150001X
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
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.
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页数：22
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