Generalized entropies from first principles

被引：85

作者：

Almeida, MP ^{[1
]}

机构：

[1] Univ Fed Ceara, Dept Fis, BR-60455760 Fortaleza, Ceara, Brazil

来源：

PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS | 2001年 / 300卷 / 3-4期

关键词：

generalized thermostatistics; canonical distribution; Tsallis entropy;

D O I：

10.1016/S0378-4371(01)00353-3

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

A derivation of power law canonical distributions from first principle statistical mechanics, including the exponential distribution as a particular case is presented. It is shown that these distributions arise naturally, and that the heat capacity of the heat bath is the condition that determines its type. As a consequence, a physical interpretation for the parameter q of the generalized entropy is given. (C) 2001 Elsevier Science B.V. All rights reserved.

引用

页码：424 / 432

页数：9

共 27 条

[1] Microcanonical foundation for systems with power-law distributions [J].

Abe, S ;

Rajagopal, AK .

JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 2000, 33 (48) :8733-8738

[2] Nonuniqueness of canonical ensemble theory arising from microcanonical basis [J].

Abe, S ;

Rajagopal, AK .

PHYSICS LETTERS A, 2000, 272 (5-6) :341-345

[3]

ABE S, CONDMAT0009400

[4] Breakdown of exponential sensitivity to initial conditions: Role of the range of interactions [J].

Anteneodo, C ;

Tsallis, C .

PHYSICAL REVIEW LETTERS, 1998, 80 (24) :5313-5316

[5] Tsallis statistics and fully developed turbulence [J].

Arimitsu, T ;

Arimitsu, N .

JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 2000, 33 (27) :L235-L241

[6] Analysis of fully developed turbulence in terms of Tsallis statistics [J].

Arimitsu, T ;

Arimitsu, N .

PHYSICAL REVIEW E, 2000, 61 (03) :3237-3240

[7]

ARIMITSU T, 2001, P IUPAP WORKSH NEW T

[8] Application of generalized thermostatistics to fully developed turbulence [J].

Beck, C .

PHYSICA A, 2000, 277 (1-2) :115-123

[9]

BECK C, CONDMAT0005408

[10]

BECK C, 2001, P IUPAP WORKSH NEW T

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