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

Ivan Lobaskin; Martin R Evans; Kirone Mallick

doi:10.1103/PhysRevE.109.024127

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

Ivan Lobaskin^*, Martin R Evans, Kirone Mallick

^*Corresponding author for this work

School of Physics and Astronomy

Research output: Contribution to journal › Article › peer-review

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.

Original language	English
Article number	024127
Pages (from-to)	1-15
Number of pages	15
Journal	Physical Review E
Volume	109
Issue number	2
DOIs	https://doi.org/10.1103/PhysRevE.109.024127
Publication status	Published - 23 Feb 2024

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title = "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. ",

author = "Ivan Lobaskin and Evans, {Martin R} and Kirone Mallick",

note = "17 pages, 4 figures. v2: minor edits, section III A expanded to make explanation self-contained Funding Information: I.L. acknowledges studentship funding from EPSRC under Grant No. EP/R513209/1. The work of K.M. has been supported by the project RETENU ANR-20-CE40-0005-01, LSD ANR-15-CE40-0020-01 of the French National Research Agency (ANR). Publisher Copyright: {\textcopyright} 2024 authors. Published by the American Physical Society.",

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AU - Evans, Martin R

AU - Mallick, Kirone

N1 - 17 pages, 4 figures. v2: minor edits, section III A expanded to make explanation self-contained Funding Information: I.L. acknowledges studentship funding from EPSRC under Grant No. EP/R513209/1. The work of K.M. has been supported by the project RETENU ANR-20-CE40-0005-01, LSD ANR-15-CE40-0020-01 of the French National Research Agency (ANR). Publisher Copyright: © 2024 authors. Published by the American Physical Society.

PY - 2024/2/23

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N2 - 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.

AB - 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.

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DO - 10.1103/PhysRevE.109.024127

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JO - Physical Review E

JF - Physical Review E

IS - 2

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ER -

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

Abstract

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