Exact asymptotics for one-dimensional diffusion with mobile traps
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([-ln(P(t)]/sqrt[rho2Dt]=4/sqrt...
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| Veröffentlicht in: | Physical review letters 2002-10, Vol.89 (15), p.150601-150601, Article 150601 |
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| container_end_page | 150601 |
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| container_issue | 15 |
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| container_title | Physical review letters |
| container_volume | 89 |
| creator | Bray, Alan J Blythe, Richard A |
| description | 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([-ln(P(t)]/sqrt[rho2Dt]=4/sqrt[pi], 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. |
| doi_str_mv | 10.1103/PhysRevLett.89.150601 |
| format | Article |
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| ispartof | Physical review letters, 2002-10, Vol.89 (15), p.150601-150601, Article 150601 |
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| source | American Physical Society Journals |
| title | Exact asymptotics for one-dimensional diffusion with mobile traps |
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