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Current large deviations for partially asymmetric particle systems on a ring

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Chleboun, Paul, Grosskinsky, Stefan and Pizzoferrato, Andrea (2018) Current large deviations for partially asymmetric particle systems on a ring. Journal of Physics A: Mathematical and Theoretical, 51 (40). 405001. doi:10.1088/1751-8121/aadc6e

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Official URL: https://doi.org/10.1088/1751-8121/aadc6e

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Abstract

We study large deviations for the current of one-dimensional stochastic particle systems with periodic boundary conditions. Following a recent approach based on an earlier result by Jensen and Varadhan, we compare several candidates for atypical currents to travelling wave density profiles, which correspond to non-entropic weak solutions of the hyperbolic scaling limit of the process. We generalize previous results to partially asymmetric systems and systems with convex as well as concave current-density relations, including zero-range and inclusion processes. We provide predictions for the large deviation rate function covering the full range of current fluctuations using heuristic arguments, and support them by simulation results using cloning algorithms wherever they are computationally accessible. For partially asymmetric zero-range processes we identify an interesting dynamic phase transition between different strategies for atypical currents, which is of a generic nature and expected to apply to a large class of particle systems on a ring.

Item Type: Journal Article
Subjects: Q Science > QA Mathematics
Divisions: Faculty of Science > Mathematics
Library of Congress Subject Headings (LCSH): Large deviations, Particles
Journal or Publication Title: Journal of Physics A: Mathematical and Theoretical
Publisher: IOP Publishing Ltd
ISSN: 1751-8113
Official Date: 10 September 2018
Dates:
DateEvent
10 September 2018Published
23 August 2018Accepted
Volume: 51
Number: 40
Article Number: 405001
DOI: 10.1088/1751-8121/aadc6e
Status: Peer Reviewed
Publication Status: Published
Access rights to Published version: Restricted or Subscription Access
RIOXX Funder/Project Grant:
Project/Grant IDRIOXX Funder NameFunder ID
EP/L505110/1 [EPSRC] Engineering and Physical Sciences Research Councilhttp://dx.doi.org/10.13039/501100000266
EP/N510129/1[EPSRC] Engineering and Physical Sciences Research Councilhttp://dx.doi.org/10.13039/501100000266
SF029 Predictive graph analytics and propagation of information in networks[EPSRC] Engineering and Physical Sciences Research Councilhttp://dx.doi.org/10.13039/501100000266
UNSPECIFIEDGruppo nazionale di fisica matematica (Italy)http://viaf.org/viaf/151593752
UNSPECIFIEDIstituto Nazionale di Alta Matematica "Francesco Severi"http://dx.doi.org/10.13039/100009112
UNSPECIFIEDImperial College Londonhttp://dx.doi.org/10.13039/501100000761
UNSPECIFIEDData Science Institute UNSPECIFIED
4500902397-3408Thomson Reutershttp://viaf.org/viaf/131744324
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