TY - JOUR

T1 - Current large deviations for partially asymmetric particle systems on a ring

AU - Chleboun, Paul

AU - Grosskinsky, Stefan

AU - Pizzoferrato, Andrea

N1 - Funding Information:
AP acknowledges support by the Engineering and Physical Sciences Research Council (EPSRC) Grant No. EP/L505110/1, by The Alan Turing Institute EPSRC grant EP/N510129/1 and seed project SF029 ‘Predictive graph analytics and propagation of information in networks’, by National Group of Mathematical Physics (GNFM-INdAM), by Imperial College together with the Data Science Institute and Thomson-Reuters Grant No. 4500902397-3408.
Publisher Copyright:
© 2018 IOP Publishing Ltd.

PY - 2018/9/10

Y1 - 2018/9/10

N2 - 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.

AB - 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.

KW - current fluctuations

KW - large deviations

KW - stochastic lattice gases

UR - http://www.scopus.com/inward/record.url?scp=85053479209&partnerID=8YFLogxK

U2 - 10.1088/1751-8121/aadc6e

DO - 10.1088/1751-8121/aadc6e

M3 - Article

AN - SCOPUS:85053479209

VL - 51

JO - Journal of Physics A: Mathematical and Theoretical

JF - Journal of Physics A: Mathematical and Theoretical

SN - 1751-8113

IS - 40

M1 - 405001

ER -