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Article Dans Une Revue Physical Review Letters Année : 2019

Activated escape of a self-propelled particle from a metastable state

Résumé

We study the noise-driven escape of active Brownian particles (ABPs) and run-and-tumble particles (RTPs) from confining potentials. In the small noise limit, we provide an exact expression for the escape rate in term of a variational problem in any dimension. For RTPs in one dimension, we obtain an explicit solution, including the first sub-leading correction. In two dimensions we solve the escape from a quadratic well for both RTPs and ABPs. In contrast to the equilibrium problem we find that the escape rate depends explicitly on the full shape of the potential barrier, and not only on its height. This leads to a host of unusual behaviors. For example, when a particle is trapped between two barriers it may preferentially escape over the higher one. Moreover, as the self-propulsion speed is varied, the escape route may discontinuously switch from one barrier to the other, leading to a dynamical phase transition.
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Dates et versions

hal-02145639 , version 1 (03-01-2021)

Identifiants

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Eric Woillez, Yongfeng Zhao, Yariv Kafri, Vivien Lecomte, Julien Tailleur. Activated escape of a self-propelled particle from a metastable state. Physical Review Letters, 2019, 122 (25), ⟨10.1103/PhysRevLett.122.258001⟩. ⟨hal-02145639⟩
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