ON RUCHS PRINCIPLE OF DECREASING MIXING DISTANCE IN CLASSICAL STATISTICAL PHYSICS

被引：5

作者：

BUSCH, P

QUADT, R

机构：

[1] Institut für Theoretische Physik, Universität zu Köln, Köln 41

来源：

JOURNAL OF STATISTICAL PHYSICS | 1990年 / 61卷 / 1-2期

关键词：

Irreversibility; mixing character; mixing distance; stochastic operator;

D O I：

10.1007/BF01013967

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

Ruch's Principle of Decreasing Mixing Distance is reviewed as a statistical physical principle and its basic suport and geometric interpretation, the Ruch-Schranner-Seligman theorem, is generalized to be applicable to a large representative class of classical statistical systems. © 1990 Plenum Publishing Corporation.

引用

页码：311 / 328

页数：18

共 15 条

[1]

ALBERTI PM, 1980, MATH NACHR, V97, P279, DOI 10.1002/mana.19800970125

[2]

BUSCH P, 1990, MEASURE CONE IRREVER

[3]

DRESS A, 1987, ORDNUNG CHAOS

[4]

Haken H, 1978, SYNERGETICS

[5]

Halmos P.R., 1950, MEASURE THEORY

[6] INFORMATION EXTENT AND INFORMATION DISTANCE [J].

RUCH, E ;

LESCHE, B .

JOURNAL OF CHEMICAL PHYSICS, 1978, 69 (01) :393-401

[7] GENERALIZATION OF A THEOREM BY HARDY, LITTLEWOOD, AND POLYA [J].

RUCH, E ;

SCHRANNER, R ;

SELIGMAN, TH .

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1980, 76 (01) :222-229

[8] PRINCIPLE OF INCREASING MIXING CHARACTER AND SOME OF ITS CONSEQUENCES [J].

RUCH, E ;

MEAD, A .

THEORETICA CHIMICA ACTA, 1976, 41 (02) :95-117

[9] DIAGRAM LATTICE AS STRUCTURAL PRINCIPLE .A. NEW ASPECTS FOR REPRESENTATIONS AND GROUP ALGEBRA OF SYMMETRIC GROUP .B. DEFINITION OF CLASSIFICATION CHARACTER, MIXING CHARACTER, STATISTICAL ORDER, STATISTICAL DISORDER - GENERAL PRINCIPLE FOR TIME EVOLUTION OF IRREVERSIBLE PROCESSES [J].

RUCH, E .

THEORETICA CHIMICA ACTA, 1975, 38 (03) :167-183

[10] THEORY OF CHIRALITY FUNCTIONS [J].

RUCH, E ;

SCHONHOF.A .

THEORETICA CHIMICA ACTA, 1970, 19 (03) :225-&

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