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Activated escape of a self-propelled particle from a metastable state | | Eric Woillez
; Yongfeng Zhao
; Yariv Kafri
; Vivien Lecomte
; Julien Tailleur
; | | Date: |
1 Apr 2019 | | Abstract: | 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. | | Source: | arXiv, 1904.0599 | | Services: | Forum | Review | PDF | Favorites | |
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