{"paper":{"title":"Delay-induced transport in a rocking ratchet under feedback control","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cond-mat.stat-mech","authors_text":"Robert Gernert, Sabine H. L. Klapp, Sarah A. M. Loos","submitted_at":"2014-03-24T10:48:44Z","abstract_excerpt":"Based on the Fokker-Planck equation we investigate the transport of an overdamped colloidal particle in a static, asymmetric periodic potential supplemented by a time-dependent, delayed feedback force, $F_{\\mathrm{fc}}$. For a given time $t$, $F_\\mathrm{fc}$ depends on the status of the system at a previous time $t-\\tau_\\mathrm{D}$, with $\\tau_\\mathrm{D}$ being a delay time, specifically on the delayed mean particle displacement (relative to some \"switching position\"). For non-zero delay times $F_{\\mathrm{fc}}(t)$ develops nearly regular oscillations generating a net current in the system. Dep"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1403.5905","kind":"arxiv","version":1},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"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"}