Levy walks and generalized stochastic collision models

被引:26
作者
Barkai, E [1 ]
Fleurov, VN [1 ]
机构
[1] Tel Aviv Univ, Raymond & Beverly Sackler Fac Exact Sci, Sch Phys & Astron, IL-69978 Tel Aviv, Israel
来源
PHYSICAL REVIEW E | 1997年 / 56卷 / 06期
关键词
D O I
10.1103/PhysRevE.56.6355
中图分类号
O35 [流体力学]; O53 [等离子体物理学];
学科分类号
070204 ; 080103 ; 080704 ;
摘要
A stochastic collision model is studied in which a test particle of a mass M collides with bath particles of another mass m. If the distribution of time intervals between the collisions is long tailed, the relaxation of momentum of the test particle is algebraic. The diffusion is enhanced and a superdiffusion is characteristic of the test particle motion for long times. It is shown that for long times < x(2)(t)> is independent of the mass ratio epsilon= m/M. The mass ratio is an important parameter controlling a transition time before which < x(2) >similar to t and after which diffusion is enhanced. Special attention is given to the Rayleigh limit where epsilon is small. It is shown that when epsilon=1 OUT results are identical to those obtained within the framework of the Levy walk model.
引用
收藏
页码:6355 / 6361
页数:7
相关论文
共 25 条
  • [1] [Anonymous], 1994, LEVY FLIGHTS RELATED
  • [2] [Anonymous], 1971, ADV CHEM PHYS, DOI DOI 10.1002/9780470143681.CH4
  • [3] Ashcroft N.W., 1976, Solid state physics Holt, Rinehart and Winston, Vfirst
  • [4] BROWNIAN TYPE OF MOTION OF A RANDOMLY KICKED PARTICLE FAR FROM AND CLOSE TO THE DIFFUSION LIMIT
    BARKAI, E
    FLEUROV, V
    [J]. PHYSICAL REVIEW E, 1995, 52 (02): : 1558 - 1570
  • [5] Dissipation and fluctuation for a randomly kicked particle: Normal and anomalous diffusion
    Barkai, E
    Fleurov, V
    [J]. CHEMICAL PHYSICS, 1996, 212 (01) : 69 - 88
  • [6] SIMULATING A BROWNIAN TYPE OF MOTION - THE RESCALING-VELOCITY APPROACH VERSUS THE LANGEVIN APPROACH
    BARKAI, E
    FLEUROV, V
    [J]. PHYSICAL REVIEW E, 1995, 52 (01): : 137 - 147
  • [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] Cox D., 1970, RENEWAL THEORY
  • [10] GEISEL T, 1985, PHYS REV LETT, V54, P616, DOI 10.1103/PhysRevLett.54.616