{ "id": "2311.17854", "version": "v1", "published": "2023-11-29T17:59:21.000Z", "updated": "2023-11-29T17:59:21.000Z", "title": "Target search by active particles", "authors": [ "Urna Basu", "Sanjib Sabhapandit", "Ion Santra" ], "comment": "Prepared as an invited chapter for the book 'THE TARGET PROBLEM' (Editors: D. S. Grebenkov, R. Metzler, G. Oshanin)", "categories": [ "cond-mat.stat-mech" ], "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.", "revisions": [ { "version": "v1", "updated": "2023-11-29T17:59:21.000Z" } ], "analyses": { "keywords": [ "active particles", "target search problem", "direction reversing active brownian particles", "overdamped langevin equations", "finite time" ], "tags": [ "book chapter" ], "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable" } } }