First-passage time of run-and-tumble particles

Abstract

We solve the problem of first-passage time for run-and-tumble particles in one dimension. Exact expression is derived for the mean first-passage time in the general case, considering external force-fields and chemotactic-fields, giving rise to space dependent swim-speed and tumble rate. Agreement between theoretical formulae and numerical simulations is obtained in the analyzed case studies -- constant and sinusoidal force fields, constant gradient chemotactic field. Reported findings can be useful to get insights into very different phenomena involving active particles, such as bacterial motion in external fields, intracellular transport, cell migration, animal foraging.

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Cited by in corpus (8)

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• Universal survival probability for a $d$-dimensional run-and-tumble particle
• Non-crossing run-and-tumble particles on a line
• Transport of active particles in an open-wedge channel
• Survival probability of stochastic processes beyond persistence exponents
• Run-and-Tumble particle in inhomogeneous media in one dimension
• Optimal search in E.coli chemotaxis
• Probability distributions for the run-and-tumble models with variable speed and tumbling rate