title: Langevin Equations for Reaction-Diffusion Processes.
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 for systematic numerical and theoretical analyses of reaction-diffusion problems.
authors.affiliation: Max Planck Institute for Solid State Research, Heisenbergstrasse 1, 70569 Stuttgart, Germany.|Physikalisches Institut, Universität Bern, Sidlerstrasse 5, 3012 Bern, Switzerland.
authors.forename: Federico
authors.initials: F
authors.lastname: Benitez
authors.affiliation: Laboratoire de Physique Théorique de la Matière Condensée, CNRS UMR7600, UPMC-Sorbonne Universités, 75252 Paris Cedex 05, France.
authors.forename: Charlie
authors.initials: C
authors.lastname: Duclut
authors.affiliation: Laboratoire de Physique Théorique de la Matière Condensée, CNRS UMR7600, UPMC-Sorbonne Universités, 75252 Paris Cedex 05, France.|Service de Physique de l'Etat Condensé, CEA, CNRS, Université Paris-Saclay, CEA-Saclay, 91191 Gif-sur-Yvette, France.|Beijing Computational Science Research Center, Beijing 100094, China.
authors.forename: Hugues
authors.initials: H
authors.lastname: Chaté
authors.affiliation: Laboratoire de Physique Théorique de la Matière Condensée, CNRS UMR7600, UPMC-Sorbonne Universités, 75252 Paris Cedex 05, France.
authors.forename: Bertrand
authors.initials: B
authors.lastname: Delamotte
authors.affiliation: Laboratoire de Physique Théorique de la Matière Condensée, CNRS UMR7600, UPMC-Sorbonne Universités, 75252 Paris Cedex 05, France.|Service de Physique de l'Etat Condensé, CEA, CNRS, Université Paris-Saclay, CEA-Saclay, 91191 Gif-sur-Yvette, France.
authors.forename: Ivan
authors.initials: I
authors.lastname: Dornic
authors.affiliation: Instituto de Física Teórica y Computacional Carlos I, Facultad de Ciencias, Universidad de Granada, 18071 Granada, Spain.
authors.forename: Miguel A
authors.initials: MA
authors.lastname: Muñoz