Large deviations and ensembles of trajectories in stochastic models

Robert L Jack, P Sollich

Research output: Contribution to journalArticle

121 Citations (Scopus)

Abstract

We consider ensembles of trajectories associated with large deviations of time-integrated quantities in stochastic models. Motivated by proposals that these ensembles are relevant for physical processes such as shearing and glassy relaxation, we show how they can be generated directly using auxiliary stochastic processes. We illustrate our results using the Glauber-Ising chain, for which biased ensembles of trajectories can exhibit ferromagnetic ordering. We discuss the relation between such biased ensembles and quantum phase transitions.
Original languageEnglish
Pages (from-to)304-317
Number of pages14
JournalProgress of Theoretical Physics Supplement
Volume184
DOIs
Publication statusPublished - 2010

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