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 for systematic numerical and theoretical analyses of reaction-diffusion problems.
Langevin Equations for Reaction-Diffusion Processes.
F. Benitez,Charlie Duclut,H. Chaté,B. Delamotte,I. Dornic,M. A. Muñoz
Published 2016 in Physical Review Letters
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- Publication year
2016
- Venue
Physical Review Letters
- Publication date
2016-04-22
- Fields of study
Medicine, Physics
- Identifiers
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Semantic Scholar, PubMed
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