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


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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