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Berlin 2018 – scientific programme

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DY: Fachverband Dynamik und Statistische Physik

DY 10: Statistical Physics I (General)

DY 10.7: Talk

Monday, March 12, 2018, 11:45–12:00, BH-N 333

Langevin equations for reaction-diffusion processesFederico Benitez1,2, •Charlie Duclut3, Hugues Chaté4,5,3, Bertrand Delamotte3, Ivan Dornic4,3, and Miguel A. Muñoz61Max Planck Institute for Solid State Research, Heisenbergstr. 1,  70569  Stuttgart, Germany — 2Physikalisches Institut, Universität Bern, Sidlerstr. 5, 3012 Bern, Switzerland — 3Laboratoire de Physique Théorique de la Matière Condensée, CNRS UMR7600, UPMC-Sorbonne Universités, 75252 Paris Cedex 05, France — 4Service de Physique de l’Etat Condensé, CEA, CNRS, Université Paris-Saclay, CEA-Saclay, 91191 Gif-sur-Yvette, France — 5Beijing Computational Science Research Center, Beijing 100094, China — 6Instituto de Física Teórica y Computacional Carlos I, Facultad de Ciencias, Universidad de Granada, 18071 Granada, Spain

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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