title: Population-dynamics method with a multicanonical feedback control.
abstract: We discuss the Giardinà-Kurchan-Peliti population dynamics method for evaluating large deviations of time-averaged quantities in Markov processes [Phys. Rev. Lett. 96, 120603 (2006)PRLTAO0031-900710.1103/PhysRevLett.96.120603]. This method exhibits systematic errors which can be large in some circumstances, particularly for systems with weak noise, with many degrees of freedom, or close to dynamical phase transitions. We show how these errors can be mitigated by introducing control forces within the algorithm. These forces are determined by an iteration-and-feedback scheme, inspired by multicanonical methods in equilibrium sampling. We demonstrate substantially improved results in a simple model, and we discuss potential applications to more complex systems.
authors.affiliation: Laboratoire de Probabilités et Modèles Aléatoires, Sorbonne Paris Cité, UMR 7599 CNRS, Université Paris Diderot, 75013 Paris, France.|Laboratoire de Physique, ENS de Lyon, Université de Lyon, CNRS, 46 allée d'Italie, 69364 Lyon, France.
authors.forename: Takahiro
authors.initials: T
authors.lastname: Nemoto
authors.affiliation: Laboratoire de Physique, ENS de Lyon, Université de Lyon, CNRS, 46 allée d'Italie, 69364 Lyon, France.
authors.forename: Freddy
authors.initials: F
authors.lastname: Bouchet
authors.affiliation: Department of Physics, University of Bath, Bath BA2 7AY, United Kingdom.
authors.forename: Robert L
authors.initials: RL
authors.lastname: Jack
authors.affiliation: Laboratoire de Probabilités et Modèles Aléatoires, Sorbonne Paris Cité, UMR 7599 CNRS, Université Paris Diderot, 75013 Paris, France.
authors.forename: Vivien
authors.initials: V
authors.lastname: Lecomte