Interacting Brownian Motion with Resetting

Ricardo Falcao; Martin R. Evans

doi:10.1088/1742-5468/aa569c

Interacting Brownian Motion with Resetting

Ricardo Falcao, Martin R. Evans

School of Physics and Astronomy

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

Abstract

We study two Brownian particles in dimension $d=1$, diffusing under an interacting resetting mechanism to a fixed position. The particles are subject to a constant drift, which biases the Brownian particles toward each other. We derive the steady-state distributions and study the late time relaxation behavior to the stationary state.

Original language	Undefined/Unknown
Journal	Journal of Statistical Mechanics: Theory and Experiment
DOIs	https://doi.org/10.1088/1742-5468/aa569c
Publication status	Published - 6 Feb 2017

Keywords / Materials (for Non-textual outputs)

cond-mat.stat-mech

Access to Document

10.1088/1742-5468/aa569c

1610.03503v1Accepted author manuscript, 1.07 MB

Cite this

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title = "Interacting Brownian Motion with Resetting",

abstract = "We study two Brownian particles in dimension \$d=1\$, diffusing under an interacting resetting mechanism to a fixed position. The particles are subject to a constant drift, which biases the Brownian particles toward each other. We derive the steady-state distributions and study the late time relaxation behavior to the stationary state.",

keywords = "cond-mat.stat-mech",

author = "Ricardo Falcao and Evans, \{Martin R.\}",

note = "13 pages, 4 figures",

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day = "6",

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journal = " Journal of Statistical Mechanics: Theory and Experiment",

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N2 - We study two Brownian particles in dimension $d=1$, diffusing under an interacting resetting mechanism to a fixed position. The particles are subject to a constant drift, which biases the Brownian particles toward each other. We derive the steady-state distributions and study the late time relaxation behavior to the stationary state.

AB - We study two Brownian particles in dimension $d=1$, diffusing under an interacting resetting mechanism to a fixed position. The particles are subject to a constant drift, which biases the Brownian particles toward each other. We derive the steady-state distributions and study the late time relaxation behavior to the stationary state.

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DO - 10.1088/1742-5468/aa569c

M3 - Article

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JO - Journal of Statistical Mechanics: Theory and Experiment

JF - Journal of Statistical Mechanics: Theory and Experiment

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