Current large deviations for partially asymmetric particle systems on a ring
File(s)
Published version
Author(s)
Chleboun, Paul
Grosskinsky, Stefan
Pizzoferrato, A
Type
Journal Article
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.
Date Issued
2018-09-10
Date Acceptance
2018-08-23
Citation
Journal of Physics A: Mathematical and Theoretical, 2018, 51
ISSN
1751-8113
Publisher
IOP Publishing
Journal / Book Title
Journal of Physics A: Mathematical and Theoretical
Volume
51
Copyright Statement
© 2018 IOP Publishing Ltd. Original content from this work may be used under the terms of the Creative Commons Attribution 3.0 licence. Any further distribution of this work must maintain attribution to the author(s) and the title of the work, journal citation and DOI.
License URL
Subjects
Science & Technology
Physical Sciences
Physics, Multidisciplinary
Physics, Mathematical
Physics
large deviations
current fluctuations
stochastic lattice gases
ZERO-RANGE PROCESS
OPEN BOUNDARIES
STOCHASTIC DYNAMICS
HYDRODYNAMIC LIMIT
DIFFUSIVE SYSTEMS
PHASE-TRANSITIONS
CONDENSATION
MODELS
SYMMETRY
01 Mathematical Sciences
02 Physical Sciences
Mathematical Physics
Publication Status
Published
Article Number
405001