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Journal Articles Physical Review Letters Year : 2016

Langevin equations for reaction-diffusion processes

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Abstract

For reaction-diffusion processes with at most bimolecular reactants, we derive well-behaved, numerically-tractable, exact Langevin equations that govern a stochastic variable related to the response field in field theory. Using duality relations, we show how the particle number and other quantities of interest can be computed. Our work clarifies long-standing conceptual issues encountered in field theoretical approaches and paves the way to systematic numerical and theoretical analyses of reaction-diffusion problems
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Dates and versions

cea-01483912 , version 1 (06-03-2017)

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Cite

Federico Benitez, Charlie Duclut, Hugues A Chaté, Bertrand Delamotte, Ivan A Dornic, et al.. Langevin equations for reaction-diffusion processes. Physical Review Letters, 2016, 117, pp.100601. ⟨10.1103/PhysRevLett.117.100601⟩. ⟨cea-01483912⟩
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