## Abstract

In the parasite problem, a particle ('ant') diffuses randomly on a random percolation cluster in the limit of concentration to 0 ('lattice animal'). Monte Carlo simulations and scaling arguments show that for large animals the distance r travelled by this parasite increases as t(1/z_{A}) with time t. The authors find z_{A} approximately=3.4 on the simple cubic lattice and z_{A} approximately=2.6 on the square lattice. This anomalous diffusion is in rough agreement with a generalisation of a suggestion by Alexander and Orbach (1982). Heuristic arguments in favour of this suggestion are given. Also, they look at corrections to scaling for concentrations equal to the percolation threshold.

Original language | English |
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Pages (from-to) | 647-656 |

Number of pages | 10 |

Journal | Journal of Physics A: Mathematical and General |

Volume | 17 |

Issue number | 3 |

DOIs | |

State | Published - 21 Feb 1984 |

Externally published | Yes |