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Article overview
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Nonlocal stationary probability distributions and escape rates for an active Ornstein-Uhlenbeck particle | | Eric Woillez
; Yariv Kafri
; Vivien Lecomte
; | | Date: |
9 Dec 2019 | | Abstract: | We evaluate the steady-state distribution and escape rate for an Active
Ornstein-Uhlenbeck Particle (AOUP) using methods from the theory of large
deviations. The calculation is carried out both for small and large memory
times of the active force in one-dimension. We show that contrary to
equilibrium particles, the invariant measure of such an active particle is a
non-local function of the potential. This fact has many interesting
consequences, which we illustrate through two phenomena. First, active
particles in the presence of an asymmetric barrier tend to accumulate on one
side of the potential - a ratchet effect that was missing is previous
treatments. Second, an active particle can escape over a deep metastable state
without spending any time at its bottom. | | Source: | arXiv, 1912.4010 | | Services: | Forum | Review | PDF | Favorites | |
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