title: Computation of large deviation statistics via iterative measurement-and-feedback procedure.
abstract: We propose a computational method for large deviation statistics of time-averaged quantities in general Markov processes. In our proposed method, we repeat a response measurement against external forces, where the forces are determined by the previous measurement as feedback. Consequently, we obtain a set of stationary states corresponding to an exponential family of distributions, each of which shows rare events in the original system as the typical behavior. As a demonstration of our method, we study large deviation statistics of one-dimensional lattice gas models.
authors.affiliation: Division of Physics and Astronomy, Graduate School of Science, Kyoto University, Kyoto 606-8502, Japan.
authors.forename: Takahiro
authors.initials: T
authors.lastname: Nemoto
authors.affiliation: Division of Physics and Astronomy, Graduate School of Science, Kyoto University, Kyoto 606-8502, Japan.
authors.forename: Shin-ichi
authors.initials: S
authors.lastname: Sasa