A DYNAMICAL PARTITION-FUNCTION FOR THE LORENTZ GAS

被引：11

作者：

MORRISS, GP ^{[1
]}

RONDONI, L ^{[1
]}

COHEN, EGD ^{[1
]}

机构：

[1] ROCKEFELLER UNIV,NEW YORK,NY 10021

来源：

JOURNAL OF STATISTICAL PHYSICS | 1995年 / 80卷 / 1-2期

关键词：

ENSEMBLES; PERIODIC ORBIT EXPANSION; SINGULAR ORBITAL MEASURES;

D O I：

10.1007/BF02178352

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

In this paper we introduce a dynamically defined partition function for the Lorentz gas and investigate its connection with the classical ensembles and the phase-space probability measure derived from periodic orbit expansions. Numerical evidence is presented to support the equivalence of these measures and to link them to the thermodynamic quantities for the Lorentz gas. This also suggests a new dynamical basis for the assumption of equal a priori probabilities in the microcanonical ensemble.

引用

页码：35 / 43

页数：9

共 13 条

[1]

[Anonymous], 1970, RUSS MATH SURV, DOI [10.1070/RM1970v025n02ABEH003794, DOI 10.1070/RM1970V025N02ABEH003794]

[2] EXPLORING CHAOTIC MOTION THROUGH PERIODIC-ORBITS [J].