Langevin equations for reaction-diffusion processes

Federico Benitez (1) , Charlie Duclut (2) , Hugues A Chaté (3, 2, 4) , Bertrand Delamotte (2) , Ivan A Dornic (2, 3) , Miguel A 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
5 Instituto Carlos I de Fisica Teorica y Computacional

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

Domains: Physics [physics]

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⟩