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Mechanical analysis of a dynamical phase transition for particles in a channel

Published version
Peer-reviewed

Type

Article

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Authors

Dolezal, J 

Abstract

We analyse biased ensembles of trajectories for a two-dimensional system of particles, evolving by Langevin dynamics in a channel geometry. This bias controls the degree of particle clustering. On biasing to large clustering, we observe a dynamical phase transition where the particles break symmetry and accumulate at one of the walls. We analyse the mechanical properties of this symmetry-broken state using the Irving-Kirkwood stress tensor. The biased ensemble is characterised by body forces which originate in random thermal noises, but have finite averages in the presence of the bias. We discuss the connection of these forces to Doob's transform and optimal control theory.

Description

Keywords

5108 Quantum Physics, 51 Physical Sciences

Journal Title

Physical Review Research

Conference Name

Journal ISSN

2643-1564
2643-1564

Volume Title

Publisher

American Physical Society (APS)
Sponsorship
EPSRC (EP/T031247/1)
Engineering and Physical Sciences Research Council (EP/N509620/1)
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