## Abstract

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.

Original language | English |
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Pages (from-to) | 6355-6361 |

Number of pages | 7 |

Journal | Physical Review E |

Volume | 56 |

Issue number | 6 |

DOIs | |

State | Published - 1997 |

Externally published | Yes |