Mechanical analysis of a dynamical phase transition for particles in a channel
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Publication Date
2022Journal Title
Physical Review Research
ISSN
2643-1564
Publisher
American Physical Society (APS)
Type
Article
Metadata
Show full item recordCitation
Dolezal, J., & Jack, R. (2022). Mechanical analysis of a dynamical phase transition for particles in a channel. Physical Review Research https://doi.org/10.1103/PhysRevResearch.4.033134
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.
Relationships
Is supplemented by: https://doi.org/10.17863/CAM.86077
Sponsorship
EPSRC (EP/T031247/1)
Engineering and Physical Sciences Research Council (EP/N509620/1)
Identifiers
External DOI: https://doi.org/10.1103/PhysRevResearch.4.033134
This record's URL: https://www.repository.cam.ac.uk/handle/1810/341010
Rights
Attribution 4.0 International (CC BY)
Licence URL: http://creativecommons.org/licenses/by/4.0/
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