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Dynamical Phase Transitions in One-dimensional Hard-particle Systems by Thompson, Ian R.; Jack, Robert L. is a scholarly article available to read on EtoBox.

What is Dynamical Phase Transitions in One-dimensional Hard-particle Systems about?

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.

Author

Thompson, Ian R.; Jack, Robert L.

Published

2015

Language

EN