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Varied phenomenology of models displaying dynamical large-deviation singularities

Whitelam, Stephen and Jacobson, Daniel (2021) Varied phenomenology of models displaying dynamical large-deviation singularities. Physical Review E, 103 (3). Art. No. 032152. ISSN 2470-0045. doi:10.1103/physreve.103.032152. https://resolver.caltech.edu/CaltechAUTHORS:20210330-110824196

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Abstract

Singularities of dynamical large-deviation functions are often interpreted as the signal of a dynamical phase transition and the coexistence of distinct dynamical phases, by analogy with the correspondence between singularities of free energies and equilibrium phase behavior. Here we study models of driven random walkers on a lattice. These models display large-deviation singularities in the limit of large lattice size, but the extent to which each model's phenomenology resembles a phase transition depends on the details of the driving. We also compare the behavior of ergodic and nonergodic models that present large-deviation singularities. We argue that dynamical large-deviation singularities indicate the divergence of a model timescale, but not necessarily one associated with cooperative behavior or the existence of distinct phases.


Item Type:Article
Related URLs:
URLURL TypeDescription
https://doi.org/10.1103/physreve.103.032152DOIArticle
ORCID:
AuthorORCID
Whitelam, Stephen0000-0002-0086-6803
Additional Information:© 2021 American Physical Society. Received 7 January 2021; accepted 16 March 2021; published 29 March 2021. S.W. performed work at the Molecular Foundry, Lawrence Berkeley National Laboratory, supported by the Office of Science, Office of Basic Energy Sciences, of the US Department of Energy under Contract No. DE-AC02-05CH11231.
Funders:
Funding AgencyGrant Number
Department of Energy (DOE)DE-AC02-05CH11231
Issue or Number:3
DOI:10.1103/physreve.103.032152
Record Number:CaltechAUTHORS:20210330-110824196
Persistent URL:https://resolver.caltech.edu/CaltechAUTHORS:20210330-110824196
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:108582
Collection:CaltechAUTHORS
Deposited By: Tony Diaz
Deposited On:30 Mar 2021 22:52
Last Modified:19 Apr 2021 16:21

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