Exact asymptotics for one-dimensional diffusion with mobile traps

A J Bray, Richard Blythe

Research output: Contribution to journalArticlepeer-review

Abstract

We consider a diffusing particle, with diffusion constant D-', moving in one dimension in an infinite sea of noninteracting mobile traps with diffusion constant D and density rho. We show that the asymptotic behavior of the survival probability, P(t), satisfies lim(t-->infinity)[-lnP(t)]/rootrho(2)Dt=4/rootpi, independent of D'. The result comes from obtaining upper and lower bounds on P(t), and showing that they coincide asymptotically. We also obtain exact results for P(t) to first order in D-'/D for an arbitrary finite number of traps.

Original languageEnglish
Article number150601
Pages (from-to)-
Number of pages4
JournalPhysical Review Letters
Volume89
Issue number15
DOIs
Publication statusPublished - 7 Oct 2002

Keywords

  • ANNIHILATION
  • DENSITIES
  • BEHAVIOR

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