Perturbation theory for the one-dimensional trapping reaction

Richard Blythe; A J  Bray

doi:10.1088/0305-4470/35/49/301

Perturbation theory for the one-dimensional trapping reaction

Richard Blythe, A J Bray

School of Physics and Astronomy

Research output: Contribution to journal › Article › peer-review

Abstract

We consider the survival probability of a particle in the presence of a finite number of diffusing traps in one dimension. Since the general solution for this quantity is not known when the number of traps is greater than two, we devise a perturbation series expansion in the diffusion constant of the particle. We calculate the persistence exponent associated with the particle's survival probability to second order and find that it is characterized by the asymmetry in the number of traps initially positioned on each side of the particle.

Original language	English
Pages (from-to)	10503-10518
Number of pages	16
Journal	Journal of Physics A: Mathematical and General
Volume	35
Issue number	49
DOIs	https://doi.org/10.1088/0305-4470/35/49/301
Publication status	Published - 13 Dec 2002

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ANNIHILATION

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10.1088/0305-4470/35/49/301

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abstract = "We consider the survival probability of a particle in the presence of a finite number of diffusing traps in one dimension. Since the general solution for this quantity is not known when the number of traps is greater than two, we devise a perturbation series expansion in the diffusion constant of the particle. We calculate the persistence exponent associated with the particle's survival probability to second order and find that it is characterized by the asymmetry in the number of traps initially positioned on each side of the particle.",

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AB - We consider the survival probability of a particle in the presence of a finite number of diffusing traps in one dimension. Since the general solution for this quantity is not known when the number of traps is greater than two, we devise a perturbation series expansion in the diffusion constant of the particle. We calculate the persistence exponent associated with the particle's survival probability to second order and find that it is characterized by the asymmetry in the number of traps initially positioned on each side of the particle.

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DO - 10.1088/0305-4470/35/49/301

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JO - Journal of Physics A: Mathematical and General

JF - Journal of Physics A: Mathematical and General

IS - 49

ER -

Perturbation theory for the one-dimensional trapping reaction

Abstract

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