RENORMALIZATION-GROUP FOR DIFFUSION IN A RANDOM MEDIUM

被引:11
作者
BRICMONT, J [1 ]
KUPIAINEN, A [1 ]
机构
[1] RUTGERS STATE UNIV, DEPT MATH, NEW BRUNSWICK, NJ 08903 USA
关键词
D O I
10.1103/PhysRevLett.66.1689
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
We develop a space-time renormalization-group method to study diffusion in a disordered medium. We prove rigorously that a random walk with transition probabilities given by a random matrix diffuses in a Brownian way for weak disorder if d > 2. We also show that the disorder induces polynomial decay of velocity-velocity correlations.
引用
收藏
页码:1689 / 1692
页数:4
相关论文
共 15 条
[1]   SYMMETRIC RANDOM-WALKS IN RANDOM-ENVIRONMENTS [J].
ANSHELEVICH, VV ;
KHANIN, KM ;
SINAI, YG .
COMMUNICATIONS IN MATHEMATICAL PHYSICS, 1982, 85 (03) :449-470
[2]   ANOMALOUS DIFFUSION IN RANDOM-MEDIA OF ANY DIMENSIONALITY [J].
BOUCHAUD, JP ;
COMTET, A ;
GEORGES, A ;
LEDOUSSAL, P .
JOURNAL DE PHYSIQUE, 1987, 48 (09) :1445-1450
[3]   ANOMALOUS DIFFUSION IN DISORDERED MEDIA - STATISTICAL MECHANISMS, MODELS AND PHYSICAL APPLICATIONS [J].
BOUCHAUD, JP ;
GEORGES, A .
PHYSICS REPORTS-REVIEW SECTION OF PHYSICS LETTERS, 1990, 195 (4-5) :127-293
[4]   RANDOM-WALK IN RANDOM ENVIRONMENT - A COUNTEREXAMPLE [J].
BRAMSON, M ;
DURRETT, R .
COMMUNICATIONS IN MATHEMATICAL PHYSICS, 1988, 119 (02) :199-211
[5]  
BRICMONT J, IN PRESS RANDOM WALK
[6]   AN INVARIANCE-PRINCIPLE FOR REVERSIBLE MARKOV-PROCESSES - APPLICATIONS TO RANDOM MOTIONS IN RANDOM-ENVIRONMENTS [J].
DEMASI, A ;
FERRARI, PA ;
GOLDSTEIN, S ;
WICK, WD .
JOURNAL OF STATISTICAL PHYSICS, 1989, 55 (3-4) :787-855
[7]   DIFFUSION ON A RANDOM LATTICE - WEAK-DISORDER EXPANSION IN ARBITRARY DIMENSION [J].
DERRIDA, B ;
LUCK, JM .
PHYSICAL REVIEW B, 1983, 28 (12) :7183-7190
[8]   MULTIDIMENSIONAL RANDOM-WALKS IN RANDOM-ENVIRONMENTS WITH SUB-CLASSICAL LIMITING BEHAVIOR [J].
DURRETT, R .
COMMUNICATIONS IN MATHEMATICAL PHYSICS, 1986, 104 (01) :87-102
[9]   RANDOM-WALKS IN RANDOM-ENVIRONMENTS [J].
FISHER, DS .
PHYSICAL REVIEW A, 1984, 30 (02) :960-964
[10]  
JONES MC, 1988, STAT PROBABIL LETT, V6, P369, DOI 10.1016/0378-1119(88)90449-0