Trajectory phase transitions, lee-yang zeros, and high-order cumulants in full counting statistics

Christian Flindt*, Juan P. Garrahan

*Corresponding author for this work

Research output: Contribution to journalArticleScientificpeer-review

48 Citations (Scopus)

Abstract

We investigate Lee-Yang zeros of generating functions of dynamical observables and establish a general relation between phase transitions in ensembles of trajectories of stochastic many-body systems and the time evolution of high-order cumulants of such observables. This connects dynamical free energies for full counting statistics in the long-time limit, which can be obtained via large-deviation methods and whose singularities indicate dynamical phase transitions, to observables that are directly accessible in simulation and experiment. As an illustration, we consider facilitated spin models of glasses and show that from the short-time behavior of high-order cumulants, it is possible to infer the existence and location of dynamical or "space-time" transitions in these systems.

Original languageEnglish
Article number050601
Pages (from-to)1-5
Number of pages5
JournalPhysical Review Letters
Volume110
Issue number5
DOIs
Publication statusPublished - 28 Jan 2013
MoE publication typeA1 Journal article-refereed

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