{"paper":{"title":"Optimal mean first-passage time of a run-and-tumble particle in a class of one-dimensional confining potentials","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.soft"],"primary_cat":"cond-mat.stat-mech","authors_text":"Gregory Schehr, Mathis Gu\\'eneau, Satya N. Majumdar","submitted_at":"2023-11-12T18:44:03Z","abstract_excerpt":"We consider a run-and-tumble particle (RTP) in one dimension, subjected to a telegraphic noise with a constant rate $\\gamma$, and in the presence of an external confining potential $V(x) = \\alpha |x|^p$ with $p \\geq 1$. We compute the mean first-passage time (MFPT) at the origin $\\tau_\\gamma(x_0)$ for an RTP starting at $x_0$. We obtain a closed form expression for $\\tau_\\gamma(x_0)$ for all $p \\geq 1$, which becomes fully explicit in the case $p=1$, $p=2$ and in the limit $p \\to \\infty$. For generic $p>1$ we find that there exists an optimal rate $\\gamma_{\\rm opt}$ that minimizes the MFPT and"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2311.06923","kind":"arxiv","version":2},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2311.06923/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"}