Phys. Rev. Lett. 89, 150601 (2002) [4 pages]Exact Asymptotics for One-Dimensional Diffusion with Mobile TrapsSee Also: Publisher's Note Received 28 May 2002; published 20 September 2002; publisher error corrected 25 September 2002 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 ρ. We show that the asymptotic behavior of the survival probability, P(t), satisfies limt→∞[-lnP(t)]/√ρ2Dt=4/√π, 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. © 2002 The American Physical Society URL:
http://link.aps.org/doi/10.1103/PhysRevLett.89.150601
DOI:
10.1103/PhysRevLett.89.150601
PACS:
05.40.–a, 02.50.Ey, 82.20.–w
See AlsoPublisher's Note: Alan J. Bray and Richard A. Blythe, Publisher’s Note: Exact Asymptotics for One-Dimensional Diffusion with Mobile Traps [Phys. Rev. Lett. 89, 150601 (2002)], Phys. Rev. Lett. 89, 169905 (2002). |
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