Toward generalized entropy composition with different q indices and H-theorem

被引：5

作者：

Sasaki, K ^{[1
]}

Hotta, M ^{[1
]}

机构：

[1] Tohoku Univ, Dept Phys, Sendai, Miyagi 9808578, Japan

来源：

JOURNAL OF THE PHYSICAL SOCIETY OF JAPAN | 2000年 / 69卷 / 12期

关键词：

Tsallis statistics; H-theorem; composability; bi-composability;

D O I：

10.1143/JPSJ.69.3830

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

An attempt is made to construct composable composite entropy with different q indices of subsystems and address the H-theorem problem of the composite system. Though the H-theorem does not hold in general situations, it is shown that some composite entropies do not decrease in time in near-equilibrium states and factorized states with negligibly weak interaction between the subsystems.

引用

收藏

页码：3830 / 3839

页数：10

相关论文

共 18 条

[1] Correlation induced by Tsallis' nonextensivity [J].

Abe, S .

PHYSICA A, 1999, 269 (2-4) :403-409

[2] A note on the q-deformation-theoretic aspect of the generalized entropies in nonextensive physics [J].

Abe, S .

PHYSICS LETTERS A, 1997, 224 (06) :326-330

[3]

ABE S, CONDMAT0006053

[4] Two-dimensional turbulence in pure-electron plasma: A nonextensive thermostatistical description [J].

Anteneodo, C ;

Tsallis, C .

JOURNAL OF MOLECULAR LIQUIDS, 1997, 71 (2-3) :255-267

[5] Maximum entropy approach to stretched exponential probability distributions [J].

Anteneodo, C ;

Plastino, AR .

JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1999, 32 (07) :1089-1097

[6] Thermodynamic description of the relaxation of two-dimensional turbulence using Tsallis statistics [J].

Boghosian, BM .

PHYSICAL REVIEW E, 1996, 53 (05) :4754-4763

[7]

Curado EMF, 1999, BRAZ J PHYS, V29, P36, DOI 10.1590/S0103-97331999000100003

[8] Composability and generalized entropy [J].

Hotta, M ;

Joichi, I .

PHYSICS LETTERS A, 1999, 262 (4-5) :302-309

[9] ON THE IRREVERSIBLE NATURE OF THE TSALLIS AND RENYI ENTROPIES [J].

MARIZ, AM .

PHYSICS LETTERS A, 1992, 165 (5-6) :409-411

[10] On the universality of thermodynamics' Legendre transform structure [J].

Plastino, A ;

Plastino, AR .

PHYSICS LETTERS A, 1997, 226 (05) :257-263