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arXiv · 1506.01492

Dynamical phase transitions in one-dimensional hard-particle systems

Ian R. Thompson·Robert L. Jack
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Abstract

We analyse 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 analyse 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 non-equilibrium 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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Ian R. Thompson, Robert L. Jack. 2015-06-04. Dynamical phase transitions in one-dimensional hard-particle systems. https://doi.org/10.1103/physreve.92.052115

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