Dynamical phase transitions in one-dimensional hard-particle systems

Ian R. Thompson and Robert L. Jack
Phys. Rev. E 92, 052115 – Published 12 November 2015

Abstract

We analyze a one-dimensional model of hard particles, within ensembles of trajectories that are conditioned (or biased) to atypical values of the time-averaged dynamical activity. We analyze two phenomena that are associated with these large deviations of the activity: phase separation (at low activity) and the formation of hyperuniform states (at high activity). We consider a version of the model which operates at constant volume, and a version at constant pressure. In these nonequilibrium systems, differences arise between the two ensembles, because of the extra freedom available to the constant-pressure system, which can change its total density. We discuss the relationships between different ensembles, mechanical equilibrium, and the probability cost of rare density fluctuations.

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  • Received 5 June 2015
  • Revised 28 August 2015

DOI:https://doi.org/10.1103/PhysRevE.92.052115

©2015 American Physical Society

Authors & Affiliations

Ian R. Thompson and Robert L. Jack

  • Department of Physics, University of Bath, Bath BA2 7AY, United Kingdom

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Issue

Vol. 92, Iss. 5 — November 2015

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