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Mean First-passage Time at the Origin of a Run-and-tumble Particle with Periodic Forces by Grange, Pascal; Yuan, Linglong is a scholarly article available to read on EtoBox.

What is Mean First-passage Time at the Origin of a Run-and-tumble Particle with Periodic Forces about?

We consider a run-and-tumble particle on a half-line with an absorbing target at the origin. The particle has an internal velocity state that switches between two opposite values at Poisson-distributed times. The position of the particle evolves according to an overdamped Langevin dynamics with a spatially-periodic force field such that every point in a given period interval is accessible to the particle. The survival probability of the particle satisfies a backward Fokker--Planck equation, whose Laplace transform yields systems of equations for the moments of the first-passage time of the particle at the origin. The mean first-passage time has already been calculated assuming that the particle exits the system almost surely. We calculate the probability that the particle reaches the origin in a finite time, given its initial position and velocity. We obtain an integral condition on the force, under which the particle has a non-zero survival probability. The conditional average of the first-passage time at the origin over the trajectories that reach the origin) is obtained in closed form. As an application, we consider a piecewise-constant force field that alternates periodically b

Author

Grange, Pascal; Yuan, Linglong

Published

2024

Language

EN