DYNAMIC SPORADICITY AND ANOMALOUS DIFFUSION IN THE LEVY MOTION

被引:62
作者
WANG, XJ [1 ]
机构
[1] UNIV CHICAGO, JAMES FRANCK INST, CHICAGO, IL 60637 USA
来源
PHYSICAL REVIEW A | 1992年 / 45卷 / 12期
关键词
D O I
10.1103/PhysRevA.45.8407
中图分类号
O43 [光学];
学科分类号
070207 ; 0803 ;
摘要
We discuss continuous-time sporadic dynamics that are intermediate between regular and random behaviors. A characterization of such processes is provided by a scale-dependent entropic quantity, and is applied to a model of Levy motion introduced by Klafter, Blumen, and Shlesinger [Phys. Rev. A 35, 3081 (1987)]. The study suggests that sporadicity may be a feature of some physical systems exhibiting anomalous diffusion.
引用
收藏
页码:8407 / 8417
页数:11
相关论文
共 52 条
  • [1] ALEKSEEV VM, 1981, PHYS REP, V75, P287, DOI 10.1016/0370-1573(81)90186-1
  • [2] [Anonymous], 1970, RUSS MATH SURV, DOI [10.1070/RM1970v025n02ABEH003794, DOI 10.1070/RM1970V025N02ABEH003794]
  • [3] ARNOLD V, 1965, CR HEBD ACAD SCI, V261, P17
  • [4] Batchelor G. K., 1953, THEORY HOMOGENEOUS T
  • [5] CHAOTIC STREAMLINES IN PRE-TURBULENT STATES
    BELOSHAPKIN, VV
    CHERNIKOV, AA
    NATENZON, MY
    PETROVICHEV, BA
    SAGDEEV, RZ
    ZASLAVSKY, GM
    [J]. NATURE, 1989, 337 (6203) : 133 - 137
  • [6] LIMIT THEOREMS FOR REGENERATIVE PHENOMENA, RECURRENT EVENTS AND RENEWAL THEORY
    BINGHAM, NH
    [J]. ZEITSCHRIFT FUR WAHRSCHEINLICHKEITSTHEORIE UND VERWANDTE GEBIETE, 1972, 21 (01): : 20 - &
  • [7] NUMERICAL STUDY OF A D-DIMENSIONAL PERIODIC LORENTZ GAS WITH UNIVERSAL PROPERTIES
    BOUCHAUD, JP
    LEDOUSSAL, P
    [J]. JOURNAL OF STATISTICAL PHYSICS, 1985, 41 (1-2) : 225 - 248
  • [8] ANOMALOUS DIFFUSION IN DISORDERED MEDIA - STATISTICAL MECHANISMS, MODELS AND PHYSICAL APPLICATIONS
    BOUCHAUD, JP
    GEORGES, A
    [J]. PHYSICS REPORTS-REVIEW SECTION OF PHYSICS LETTERS, 1990, 195 (4-5): : 127 - 293
  • [9] Particle paths in wavy vortices
    Broomhead, D. S.
    Ryrie, Susan C.
    [J]. NONLINEARITY, 1988, 1 (03) : 409 - 434
  • [10] MARKOV PARTITIONS FOR DISPERSED BILLIARDS
    BUNIMOVICH, LA
    SINAI, YG
    [J]. COMMUNICATIONS IN MATHEMATICAL PHYSICS, 1980, 78 (02) : 247 - 280