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

共 50 条

[41] INVARIANCE-PRINCIPLE FOR WEAKLY DEPENDENT-VARIABLES
LIFSHITS, BA
THEORY OF PROBABILITY AND ITS APPLICATIONS, 1985, 29 (01) : 33 - 40
[42] ON THE CONVERGENCE RATE IN THE INVARIANCE-PRINCIPLE ALMOST SURELY
SAKHANENKO, AI
THEORY OF PROBABILITY AND ITS APPLICATIONS, 1985, 29 (02) : 424 - 424
[43] A STRONG INVARIANCE-PRINCIPLE AND SOME OF ITS APPLICATIONS
EKUSHOV, AI
RUSSIAN MATHEMATICAL SURVEYS, 1984, 39 (04) : 119 - 120
[44] SIMPLE METHOD OF OBTAINING ESTIMATES IN THE INVARIANCE-PRINCIPLE
SAKHANENKO, AI
LECTURE NOTES IN MATHEMATICS, 1988, 1299 : 430 - 443
[45] THE INVARIANCE-PRINCIPLE FOR PSI-MIXING SEQUENCES
HERRNDORF, N
ZEITSCHRIFT FUR WAHRSCHEINLICHKEITSTHEORIE UND VERWANDTE GEBIETE, 1983, 63 (01): : 97 - 108
[46] INVARIANCE-PRINCIPLE FOR STATISTICAL NUCLEAR DENSITY ESTIMATES
KONAKOV, VD
THEORY OF PROBABILITY AND ITS APPLICATIONS, 1983, 27 (04) : 872 - 873
[47] AN INVARIANCE-PRINCIPLE FOR THE EDGE OF THE BRANCHING EXCLUSION PROCESS
CAMMAROTA, C
FERRARI, PA
STOCHASTIC PROCESSES AND THEIR APPLICATIONS, 1991, 38 (01) : 1 - 11
[48] THE INVARIANCE-PRINCIPLE FOR PHI-MIXING SEQUENCES
RYCHLIK, Z
SZYSZKOWSKI, I
THEORY OF PROBABILITY AND ITS APPLICATIONS, 1988, 32 (03) : 559 - 562
[49] Equivalence Principle and the Principle of Local Lorentz Invariance
W. A. Rodrigues
M. Sharif
Foundations of Physics, 2001, 31 : 1785 - 1806
[50] Equivalence Principle and the Principle of Local Lorentz Invariance
Rodrigues, WA
Sharif, M
FOUNDATIONS OF PHYSICS, 2001, 31 (12) : 1785 - 1806

← 1 2 3 4 5 →