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.
引用
收藏
页数：22
相关论文
共 50 条
  • [1] Many Faces of Entropy or Bayesian Statistical Mechanics
    Starikov, Evgeni B.
    CHEMPHYSCHEM, 2010, 11 (16) : 3387 - 3394
  • [2] Entropy in statistical energy analysis
    Le Bot, Alain
    JOURNAL OF THE ACOUSTICAL SOCIETY OF AMERICA, 2009, 125 (03) : 1473 - 1478
  • [3] Thermodynamics, Statistical Mechanics and Entropy
    Swendsen, Robert H.
    ENTROPY, 2017, 19 (11)
  • [4] LIGHTLIKE HYPERSURFACES OF AN INDEFINITE STATISTICAL MANIFOLD
    Rani, Vandana
    Kaur, Jasleen
    ADVANCES AND APPLICATIONS IN MATHEMATICAL SCIENCES, 2021, 20 (09): : 1995 - 2013
  • [5] The definition of the thermodynamic entropy in statistical mechanics
    Swendsen, Robert H.
    PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS, 2017, 467 : 67 - 73
  • [6] SRB Entropy of Markov Transformations
    Miaohua Jiang
    Marco Lopez
    Journal of Statistical Physics, 2022, 188
  • [7] SRB Entropy of Markov Transformations
    Jiang, Miaohua
    Lopez, Marco
    JOURNAL OF STATISTICAL PHYSICS, 2022, 188 (03)
  • [8] Spectrum and statistical entropy of AdS black holes
    Vaz, Cenalo
    Wijewardhana, L. C. R.
    PHYSICAL REVIEW D, 2009, 79 (08):
  • [9] Disaggregating statistical data at the field level: An entropy approach
    Xavier, Antonio
    Costa Freitas, Maria de Belem
    Rosario, Maria do Socorro
    Fragoso, Rui
    SPATIAL STATISTICS, 2018, 23 : 91 - 108
  • [10] STATISTICAL ENERGY ANALYSIS OF VIBRATING STRUCTURES WITH ENERGY AND ENTROPY
    Hough, Elise
    Sotoudeh, Zahra
    PROCEEDINGS OF ASME 2021 INTERNATIONAL MECHANICAL ENGINEERING CONGRESS AND EXPOSITION (IMECE2021), VOL 1, 2021,
12345