TOPOLOGICAL DYNAMICS OF FLIPPING LORENTZ LATTICE-GAS MODELS

被引：10

作者：

BUNIMOVICH, LA ^{[1
]}

TROUBETZKOY, SE ^{[1
]}

机构：

[1] UNIV BIELEFELD,BIBOS FORSCHUNGSZENTRUM,D-33615 BIELEFELD,GERMANY

来源：

JOURNAL OF STATISTICAL PHYSICS | 1993年 / 72卷 / 1-2期

关键词：

TOPOLOGICAL DYNAMICS; TOPOLOGICAL TRANSITIVITY; PERIODIC POINTS; TOPOLOGICAL MIXING; TOPOLOGICAL ENTROPY; LATTICE GAS; LORENTZ GAS; WIND-TREE MODEL;

D O I：

10.1007/BF01048051

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We study the topological dynamics of the flipping mirror model of Ruijgrok and Cohen with one or an infinite number of particles. In particular we prove the topological transitivity and topological mixing up to a natural first integral for the one-particle model.

引用

页码：297 / 307

页数：11

共 14 条

[1]

[Anonymous], 1989, ERGODIC THEORY

[2] RECURRENCE PROPERTIES OF LORENTZ LATTICE GAS CELLULAR AUTOMATA [J].

BUNIMOVICH, LA ;

TROUBETZKOY, SE .

JOURNAL OF STATISTICAL PHYSICS, 1992, 67 (1-2) :289-302

[3]

BUNIMOVICH LA, IN PRESS P C DYNAMIC

[4]

COHEN EGD, 1992, MICROSCOPIC SIMULATI

[5]

GUNN JMF, 1985, J PHYS A-MATH GEN, V18, P1095

[6] ANOMALOUS DIFFUSION IN A LATTICE-GAS WIND-TREE MODEL [J].

KONG, XP ;

COHEN, EGD .

PHYSICAL REVIEW B, 1989, 40 (07) :4838-4845

[7] A KINETIC THEORISTS LOOK AT LATTICE GAS CELLULAR AUTOMATA [J].

KONG, XP ;

COHEN, EGD .

PHYSICA D, 1991, 47 (1-2) :9-18

[8] DIFFUSION AND PROPAGATION IN TRIANGULAR LORENTZ LATTICE GAS CELLULAR AUTOMATA [J].

KONG, XP ;

COHEN, EGD .

JOURNAL OF STATISTICAL PHYSICS, 1991, 62 (3-4) :737-757

[9]

Lorent HA, 1905, P K AKAD WET-AMSTERD, V7, P438

[10]

Lorentz HA, 1905, P K AKAD WET-AMSTERD, V7, P585

← 1 2 →