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DY: Fachverband Dynamik und Statistische Physik

DY 10: Statistical Physics I (General)

DY 10.7: Vortrag

Montag, 12. März 2018, 11:45–12:00, BH-N 333

Langevin equations for reaction-diffusion processes — Federico Benitez^1,2, •Charlie Duclut³, Hugues Chaté^4,5,3, Bertrand Delamotte³, Ivan Dornic^4,3, and Miguel A. Muñoz⁶ — ¹Max 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.