Interacting Brownian motion with resetting. (6th February 2017)

• Record Type: Journal Article
• Authors: Falcao, R; Evans, M R
• Is Part Of: Journal of statistical mechanics. (2017:Feb.)
• Publication Date: 2017-02-06
• Subjects: 15 -- 4; Statistical mechanics -- Periodicals; Mechanics -- Statistical methods -- Periodicals; 530.1305
• DOI: 10.1088/1742-5468/aa569c
• Languages: English
• ISSNs: 1742-5468

Abstract

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, and reset when they are adjacent. We derive the steady-state distributions and study the late time relaxation behavior to the stationary state.