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.
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页码：1583 / 1598
页数：16
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