CLASSICAL AND QUANTUM SUPERDIFFUSION IN A TIME-DEPENDENT RANDOM POTENTIAL

被引:58
作者
GOLUBOVIC, L
FENG, SC
ZENG, FA
机构
[1] Department of Physics, University of California at Los Angeles, Los Angeles
关键词
D O I
10.1103/PhysRevLett.67.2115
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
We consider wandering of a nonrelativistic particle in a time-dependent random potential in d spatial dimensions. Its root-mean-square displacement from the initial position increases superdiffusively with time t as t9/8 for d > 1, and as t6/5 in d = 1. Its kinetic energy increases at t1/2 for d > 1, and as t2/5 in d = 1. These scaling behaviors hold for both the classical and the corresponding quantum-mechanical problem in continuous space-time and differ from those of lattice models.
引用
收藏
页码:2115 / 2118
页数:4
相关论文
共 17 条
[1]   DIFFUSION AND LOCALIZATION OF WAVES IN A TIME-VARYING RANDOM ENVIRONMENT [J].
BOUCHAUD, JP .
EUROPHYSICS LETTERS, 1990, 11 (06) :505-510
[2]  
BOUCHAUD JP, IN PRESS
[3]   DYNAMICS AS A SUBSTITUTE FOR REPLICAS IN SYSTEMS WITH QUENCHED RANDOM IMPURITIES [J].
DEDOMINICIS, C .
PHYSICAL REVIEW B, 1978, 18 (09) :4913-4919
[4]   PRODUCT FORMULA ALGORITHMS FOR SOLVING THE TIME-DEPENDENT SCHRODINGER-EQUATION [J].
DERAEDT, H .
COMPUTER PHYSICS REPORTS, 1987, 7 (01) :1-72
[5]   DIRECTED WAVES IN RANDOM-MEDIA - REPLY [J].
FENG, SC ;
GOLUBOVIC, L ;
ZHANG, YC .
PHYSICAL REVIEW LETTERS, 1991, 66 (16) :2177-2177
[6]   DIRECTED WAVE-PROPAGATION IN RANDOM-MEDIA - SUPERDIFFUSION AND PHASE-TRANSITION [J].
FENG, SH ;
GOLUBOVIC, L ;
ZHANG, YC .
PHYSICAL REVIEW LETTERS, 1990, 65 (08) :1028-1031
[7]  
Feynman R., 1965, QUANTUM MECH PATH IN
[8]   EXACT RESULTS FOR THE QUANTUM DIFFUSION OF MANY PARTICLES IN A STOCHASTIC MEDIUM [J].
GIRVIN, SM ;
MAHAN, GD .
PHYSICAL REVIEW B, 1979, 20 (12) :4896-4901
[9]   DIFFUSION OF A QUANTUM PARTICLE IN A FLUCTUATING MEDIUM [J].
INABA, Y .
JOURNAL OF THE PHYSICAL SOCIETY OF JAPAN, 1981, 50 (08) :2473-2480
[10]   NONDIFFUSIVE QUANTUM TRANSPORT IN A DYNAMICALLY DISORDERED MEDIUM [J].
JAYANNAVAR, AM ;
KUMAR, N .
PHYSICAL REVIEW LETTERS, 1982, 48 (08) :553-556