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First passage time distribution of active thermal particles in potentials

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journal contribution
posted on 2021-10-28, 08:21 authored by Benjamin Walter, Gunnar Pruessner, Guillaume Salbreux
We introduce a perturbative method to calculate all moments of the first passage time distribution in stochastic one-dimensional processes which are subject to both white and colored noise. This class of non-Markovian processes is at the center of the study of thermal active matter, that is self-propelled particles subject to diffusion. The perturbation theory about the Markov process considers the effect of self-propulsion to be small compared to that of thermal fluctuations. To illustrate our method, we apply it to the case of active thermal particles (i) in a harmonic trap and (ii) on a ring. For both we calculate the first-order correction of the moment-generating function of first passage times, and thus to all its moments. Our analytical results are compared to numerics.


Crick (Grant ID: 10317, Grant title: Salbreux FC001317)


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