## Abstract / Description of output

We consider the trapping reaction, A + B --> B, where A and B particles have a diffusive dynamics characterized by diffusion constants D-A and D-B. The interaction with B particles can be formally incorporated in an effective dynamics for one A particle as was recently shown by Bray et al (2003 Phys. Rev. E 67 060102). We use this method to compute, in space dimension d = 1, the asymptotic behaviour of the spatial fluctuation, (z(2)(t))(1/2), for a surviving A particle in the perturbative regime, D-A/D-B much less than 1, for the case of an initially uniform distribution of B particles. We show that, for t much greater than 1, (Z(2)(t))(1/2) alpha t(phi) with phi = 1/4. By contrast, the fluctuations of paths constrained to return to their starting point at time t grow with the larger exponent 1/3. Numerical tests are consistent with these predictions.

Original language | English |
---|---|

Pages (from-to) | 133-144 |

Number of pages | 12 |

Journal | Journal of Physics A: Mathematical and General |

Volume | 38 |

Issue number | 1 |

DOIs | |

Publication status | Published - 7 Jan 2005 |

## Keywords / Materials (for Non-textual outputs)

- ASYMPTOTIC-BEHAVIOR