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Langevin equations for reaction-diffusion processes

Federico Benitez 1 Charlie Duclut 2 Hugues Chaté 3, 2, 4 Bertrand Delamotte 2 Ivan Dornic 2, 3 Miguel Muñoz 5
1 Max Planck Institute for Solid State Research
2 LPTMC - Laboratoire de Physique Théorique de la Matière Condensée
3 SPEC - UMR3680 - Service de physique de l'état condensé
4 SPHYNX - Systèmes Physiques Hors-équilibre, hYdrodynamique, éNergie et compleXes
SPEC - UMR3680 - Service de physique de l'état condensé, IRAMIS - Institut Rayonnement Matière de Saclay
5 Instituto Carlos I de Fisica Teorica y Computacional
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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Federico Benitez, Charlie Duclut, Hugues Chaté, Bertrand Delamotte, Ivan Dornic, et al.. Langevin equations for reaction-diffusion processes. Physical Review Letters, American Physical Society, 2016, 117, pp.100601. ⟨10.1103/PhysRevLett.117.100601⟩. ⟨cea-01483912⟩

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