Formal solution of a class of reaction-diffusion models: Reduction to a single-particle problem

A J  Bray; S N  Majumdar; Richard Blythe

doi:10.1103/PhysRevE.67.060102

Formal solution of a class of reaction-diffusion models: Reduction to a single-particle problem

A J Bray, S N Majumdar, Richard Blythe

School of Physics and Astronomy

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

Abstract

We consider the trapping reaction A+B-->B in space dimension dless than or equal to2. By formally eliminating the B particles from the problem, we derive an effective dynamics for the A particles from which the survival probability of a given A particle and the statistics of its spatial fluctuations can be calculated in a rather general way. The method can be extended to the study of annihilation and coalescence reactions, B+B-->0 or B, in d=2.

Original language	English
Article number	060102
Pages (from-to)	-
Number of pages	4
Journal	Physical Review E
Volume	67
Issue number	6
DOIs	https://doi.org/10.1103/PhysRevE.67.060102
Publication status	Published - Jun 2003

Keywords / Materials (for Non-textual outputs)

ANNIHILATION

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10.1103/PhysRevE.67.060102

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abstract = "We consider the trapping reaction A+B-->B in space dimension dless than or equal to2. By formally eliminating the B particles from the problem, we derive an effective dynamics for the A particles from which the survival probability of a given A particle and the statistics of its spatial fluctuations can be calculated in a rather general way. The method can be extended to the study of annihilation and coalescence reactions, B+B-->0 or B, in d=2.",

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AB - We consider the trapping reaction A+B-->B in space dimension dless than or equal to2. By formally eliminating the B particles from the problem, we derive an effective dynamics for the A particles from which the survival probability of a given A particle and the statistics of its spatial fluctuations can be calculated in a rather general way. The method can be extended to the study of annihilation and coalescence reactions, B+B-->0 or B, in d=2.

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Formal solution of a class of reaction-diffusion models: Reduction to a single-particle problem

Abstract

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