## Abstract

We consider a one-dimensional system with an infinite number of identical particles A diffusing in the presence of a single diffusing perfect trap [Formula Presented] We study numerically the average distance [Formula Presented] from the trap to the nearest unreacted [Formula Presented] and confirm the claim that in the long-time limit [Formula Presented] where [Formula Presented] is an exponent depending on the ratio of diffusivities [Formula Presented] and [Formula Presented] of the particles A and the trap [Formula Presented] respectively. We also confirm the validity of a conjecture for the value of [Formula Presented] but show that it should be limited to a specific choice of the initial distribution of particles [Formula Presented]

Original language | English |
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Pages (from-to) | 6821-6823 |

Number of pages | 3 |

Journal | Physical Review E |

Volume | 58 |

Issue number | 5 |

DOIs | |

State | Published - 1998 |