Target search by active particles
arXiv:2311.17854 · doi:10.1007/978-3-031-67802-8_19
Abstract
Active particles, which are self-propelled nonequilibrium systems, are modelled by overdamped Langevin equations with colored noise, emulating the self-propulsion. In this chapter, we present a review of the theoretical results for the target search problem of these particles. We focus on three most well-known models, namely, run-and-tumble particles, active Brownian particles, and direction reversing active Brownian particles, which differ in their self-propulsion dynamics. For each of these models, we discuss the first-passage and survival probabilities in the presence of an absorbing target. We also discuss how resetting helps the active particles find targets in a finite time.
arXiv commentPrepared as an invited chapter for the book 'THE TARGET PROBLEM' (Editors: D. S. Grebenkov, R. Metzler, G. Oshanin)
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