TY - JOUR

T1 - Lévy walks and generalized stochastic collision models

AU - Barkai, E.

AU - Fleurov, V. N.

PY - 1997

Y1 - 1997

N2 - A stochastic collision model is studied in which a test particle of a mass [Formula Presented] collides with bath particles of another mass [Formula Presented] 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 [Formula Presented] is independent of the mass ratio [Formula Presented] The mass ratio is an important parameter controlling a transition time before which [Formula Presented] and after which diffusion is enhanced. Special attention is given to the Rayleigh limit where ε is small. It is shown that when [Formula Presented] our results are identical to those obtained within the framework of the Lévy walk model.

AB - A stochastic collision model is studied in which a test particle of a mass [Formula Presented] collides with bath particles of another mass [Formula Presented] 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 [Formula Presented] is independent of the mass ratio [Formula Presented] The mass ratio is an important parameter controlling a transition time before which [Formula Presented] and after which diffusion is enhanced. Special attention is given to the Rayleigh limit where ε is small. It is shown that when [Formula Presented] our results are identical to those obtained within the framework of the Lévy walk model.

UR - http://www.scopus.com/inward/record.url?scp=0000174211&partnerID=8YFLogxK

U2 - 10.1103/PhysRevE.56.6355

DO - 10.1103/PhysRevE.56.6355

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AN - SCOPUS:0000174211

SN - 1063-651X

VL - 56

SP - 6355

EP - 6361

JO - Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics

JF - Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics

IS - 6

ER -