Current fluctuations in a partially asymmetric simple exclusion process with a defect particle

Abstract

We study an exclusion process on a ring comprising a free defect particle in a bath of normal particles. The model is one of the few integrable cases in which the bath particles are partially asymmetric. The presence of the free defect creates localized or shock phases according to parameter values. We use a functional approach to Bethe equations resulting from a nested Bethe ansatz to calculate exactly the mean currents and diffusion constants. The results agree very well with Monte-Carlo simulations and reveal the main modes of fluctuation in the different phases of the steady state.

17 pages, 4 figures. v2: minor edits, section III A expanded to make explanation self-contained

References in corpus (6)

• Non equilibrium steady states: fluctuations and large deviations of the density and of the current
• Nonequilibrium Steady States of Matrix Product Form: A Solver's Guide
• Bethe Ansatz Solution of the Asymmetric Exclusion Process with Open Boundaries
• Current Fluctuations in the exclusion process and Bethe Ansatz
• Fluctuations and skewness of the current in the partially asymmetric exclusion process
• Driven tracers in narrow channels

Cited by in corpus (4)

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• Nonequilibrium protection effect and spatial localization of noise-induced fluctuations: Quasi-one-dimensional driven lattice gas with partially penetrable obstacle
• Current fluctuations for the second class particle : joint statistics