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Population Dynamics Method with a Multi-canonical Feedback Control by Nemoto, Takahiro; Bouchet, Freddy; Jack, Robert L.; Lecomte, Vivien is a scholarly article available to read on EtoBox.

What is Population Dynamics Method with a Multi-canonical Feedback Control about?

We discuss the Giardin\`a-Kurchan-Peliti population dynamics method for evaluating large deviations of time averaged quantities in Markov processes [Phys. Rev. Lett. \textbf{96}, 120603 (2006)]. 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.

Author

Nemoto, Takahiro; Bouchet, Freddy; Jack, Robert L.; Lecomte, Vivien

Published

2016

Language

EN