Finite-size scaling of a first-order dynamical phase transition: Adaptive population dynamics and an effective model

Takahiro Nemoto, Robert L. Jack, Vivien Lecomte

Research output: Contribution to journalArticle

29 Citations (Scopus)

Abstract

We analyze large deviations of the time-averaged activity in the one-dimensional Fredrickson-Andersen model, both numerically and analytically. The model exhibits a dynamical phase transition, which appears as a singularity in the large deviation function. We analyze the finite-size scaling of this phase transition numerically, by generalizing an existing cloning algorithm to include a multicanonical feedback control: this significantly improves the computational efficiency. Motivated by these numerical results, we formulate an effective theory for the model in the vicinity of the phase transition, which accounts quantitatively for the observed behavior. We discuss potential applications of the numerical method and the effective theory in a range of more general contexts.
Original languageEnglish
Article number115702
Pages (from-to)1-6
Number of pages6
JournalPhysical Review Letters
Volume118
Issue number11
Early online date14 Mar 2017
DOIs
Publication statusPublished - 17 Mar 2017

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