INVARIANCE-PRINCIPLE FOR THE STOCHASTIC LORENTZ LATTICE GAS

被引：3

作者：

DENHOLLANDER, F ^{[1
]}

NAUDTS, J ^{[1
]}

REDIG, F ^{[1
]}

机构：

[1] UNIV INSTELLING ANTWERP,DEPT PHYS,B-2610 WILRIJK,BELGIUM

来源：

JOURNAL OF STATISTICAL PHYSICS | 1992年 / 66卷 / 5-6期

关键词：

NONREVERSIBILITY; SCATTERER TIME SCALE; INVARIANCE PRINCIPLE; BROWNIAN MOTION; STATIONARY ERGODIC AND REVERSIBLE MEASURES; CONNECTEDNESS; DIRICHLET PRINCIPLE; EFFECTIVE MEDIUM;

D O I：

10.1007/BF01054435

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We prove scaling to nondegenerate Brownian motion for the path of a test particle in the stochastic Lorentz lattice gas on Z(d) under a weak ergodicity assumption on the scatterer distribution. We prove that recurrence holds almost surely in d less-than-or-equal-to 2. Transience in d greater-than-or-equal-to remains open.

引用

页码：1583 / 1598

页数：16

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