Exact Results in Trapping Reactions for Mobile Particles and a Single Trap

  • Alejandro Sánchez
  • Miguel A. Rodriguez
  • Horacio S. Wio
Conference paper
Part of the Nonlinear Phenomena and Complex Systems book series (NOPH, volume 8)

Abstract

We have exploited a stochastic model for the description of diffusion controlled reactions for trapping processes with a single trap in a one-dimensional lattice, in order to describe in an exact way the particle distribution as seen from the trap, being it fix or mobile, as well as for perfect or imperfect reactions. From this we obtain the exact result for the total number of absorbed particles. Moreover we get a formal expression for the nearest-neighbor-particle distribution that gives the known results in the limit cases of fixed trap and fixed particles.

Keywords

Argentina 

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Copyright information

© Kluwer Academic Publishers 2004

Authors and Affiliations

  • Alejandro Sánchez
    • 1
  • Miguel A. Rodriguez
    • 2
  • Horacio S. Wio
    • 2
  1. 1.Instituto de Física de Cantabria, CSICUniversidad de CantabriaSantanderSpain
  2. 2.Grupo de Física EstadísticaCentro Atómico Bariloche (CNEA) and Instituto Balseiro (UNC)San Carlos de BarilocheArgentina

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