Relation between anomalous and normal diffusion in systems with memory

被引:196
作者
Morgado, R
Oliveira, FA
Batrouni, GG
Hansen, A
机构
[1] Univ Brasilia, Int Ctr Condensed Matter Phys, BR-70919970 Brasilia, DF, Brazil
[2] Univ Brasilia, Inst Fis, BR-70919970 Brasilia, DF, Brazil
[3] Univ Nice, CNRS, UMR 6618, Inst Nonlinear Nice, F-06560 Valbonne, France
[4] Norwegian Univ Sci & Technol, Dept Phys, N-7491 Trondheim, Norway
关键词
D O I
10.1103/PhysRevLett.89.100601
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
We present a simple criterion based on the Einstein relation for determining whether diffusion in systems governed by a generalized Langevin equation with long-range memory is normal, superdiffusive, or subdiffusive. We support our analysis with numerical simulations.
引用
收藏
页数:4
相关论文
共 17 条
[1]   ABSENCE OF DIFFUSION IN CERTAIN RANDOM LATTICES [J].
ANDERSON, PW .
PHYSICAL REVIEW, 1958, 109 (05) :1492-1505
[2]   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
[3]   Delocalization and spin-wave dynamics in ferromagnetic chains with long-range correlated random exchange [J].
de Moura, FABF ;
Coutinho, MD ;
Raposo, EP ;
Lyra, ML .
PHYSICAL REVIEW B, 2002, 66 (01) :144181-144185
[4]  
Einstein A, 1985, INVESTIGATIONS THEOR
[5]   SUPER-DIFFUSION IN RANDOM CHAINS WITH CORRELATED DISORDER [J].
EVANGELOU, SN ;
KATSANOS, DE .
PHYSICS LETTERS A, 1992, 164 (5-6) :456-464
[6]   EXACT TIME EVOLUTION OF A CLASSICAL HARMONIC-OSCILLATOR CHAIN [J].
FLORENCIO, J ;
LEE, MH .
PHYSICAL REVIEW A, 1985, 31 (05) :3231-3236
[7]   FLUCTUATION-DISSIPATION THEOREM [J].
KUBO, R .
REPORTS ON PROGRESS IN PHYSICS, 1966, 29 :255-+
[8]  
KUBO R, 1998, STAT PHYSICS, V2
[9]   SOLUTIONS OF THE GENERALIZED LANGEVIN EQUATION BY A METHOD OF RECURRENCE RELATIONS [J].
LEE, MH .
PHYSICAL REVIEW B, 1982, 26 (05) :2547-2551
[10]   Fick's law, Green-Kubo formula, and Heisenberg's equation of motion [J].
Lee, MH .
PHYSICAL REVIEW LETTERS, 2000, 85 (12) :2422-2425