{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2000:5XP733EGDWOA4MDKAVBQ4WRRGE","short_pith_number":"pith:5XP733EG","schema_version":"1.0","canonical_sha256":"eddffdec861d9c0e306a05430e5a313130befd6db5f82b2f6b941f182ff0f0ae","source":{"kind":"arxiv","id":"cond-mat/0010087","version":1},"attestation_state":"computed","paper":{"title":"Symmetry broken motion of a periodically driven Brownian particle: nonadiabatic regime","license":"","headline":"","cross_cats":["nlin.CD"],"primary_cat":"cond-mat.stat-mech","authors_text":"M. V. Fistul","submitted_at":"2000-10-05T14:32:36Z","abstract_excerpt":"We report a theoretical study of an overdamped Brownian particle dynamics in the presence of both a spatially modulated one-dimensional periodic potential and a periodic alternating force (AF). As the periodic potential has a low symmetry (a ratchet potential) the Brownian particle displays a broken symmetry motion with a nonzero time average velocity. By making use of the Green function method and a mapping to the theory of Brillouin bands the probability distribution of the particle coordinate is derived and the nonlinear dependence of the macroscopic velocity on the frequency and the amplit"},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"cond-mat/0010087","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"cond-mat.stat-mech","submitted_at":"2000-10-05T14:32:36Z","cross_cats_sorted":["nlin.CD"],"title_canon_sha256":"d022c8aec302bf2c8d0469aeccc35db6d2e1bb63a8b97c6da808017cf8067768","abstract_canon_sha256":"da6930ba1886b2e6b75b12f5c4f8f39d06bf9f8e049ab09e82fa9a6896b7a5fc"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:24:40.168358Z","signature_b64":"DNRTLNnAalcpVg40/7k+rlzBRd+Z7ZeWujLlA8HYybziaII+1p9z01+TF1+xBIukYllNeuJ2qM7bRxkvluR2DA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"eddffdec861d9c0e306a05430e5a313130befd6db5f82b2f6b941f182ff0f0ae","last_reissued_at":"2026-05-18T03:24:40.167740Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:24:40.167740Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Symmetry broken motion of a periodically driven Brownian particle: nonadiabatic regime","license":"","headline":"","cross_cats":["nlin.CD"],"primary_cat":"cond-mat.stat-mech","authors_text":"M. V. Fistul","submitted_at":"2000-10-05T14:32:36Z","abstract_excerpt":"We report a theoretical study of an overdamped Brownian particle dynamics in the presence of both a spatially modulated one-dimensional periodic potential and a periodic alternating force (AF). As the periodic potential has a low symmetry (a ratchet potential) the Brownian particle displays a broken symmetry motion with a nonzero time average velocity. By making use of the Green function method and a mapping to the theory of Brillouin bands the probability distribution of the particle coordinate is derived and the nonlinear dependence of the macroscopic velocity on the frequency and the amplit"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"cond-mat/0010087","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"},"aliases":[{"alias_kind":"arxiv","alias_value":"cond-mat/0010087","created_at":"2026-05-18T03:24:40.167839+00:00"},{"alias_kind":"arxiv_version","alias_value":"cond-mat/0010087v1","created_at":"2026-05-18T03:24:40.167839+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.cond-mat/0010087","created_at":"2026-05-18T03:24:40.167839+00:00"},{"alias_kind":"pith_short_12","alias_value":"5XP733EGDWOA","created_at":"2026-05-18T12:25:49.631198+00:00"},{"alias_kind":"pith_short_16","alias_value":"5XP733EGDWOA4MDK","created_at":"2026-05-18T12:25:49.631198+00:00"},{"alias_kind":"pith_short_8","alias_value":"5XP733EG","created_at":"2026-05-18T12:25:49.631198+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":0,"internal_anchor_count":0,"sample":[]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/5XP733EGDWOA4MDKAVBQ4WRRGE","json":"https://pith.science/pith/5XP733EGDWOA4MDKAVBQ4WRRGE.json","graph_json":"https://pith.science/api/pith-number/5XP733EGDWOA4MDKAVBQ4WRRGE/graph.json","events_json":"https://pith.science/api/pith-number/5XP733EGDWOA4MDKAVBQ4WRRGE/events.json","paper":"https://pith.science/paper/5XP733EG"},"agent_actions":{"view_html":"https://pith.science/pith/5XP733EGDWOA4MDKAVBQ4WRRGE","download_json":"https://pith.science/pith/5XP733EGDWOA4MDKAVBQ4WRRGE.json","view_paper":"https://pith.science/paper/5XP733EG","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=cond-mat/0010087&json=true","fetch_graph":"https://pith.science/api/pith-number/5XP733EGDWOA4MDKAVBQ4WRRGE/graph.json","fetch_events":"https://pith.science/api/pith-number/5XP733EGDWOA4MDKAVBQ4WRRGE/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/5XP733EGDWOA4MDKAVBQ4WRRGE/action/timestamp_anchor","attest_storage":"https://pith.science/pith/5XP733EGDWOA4MDKAVBQ4WRRGE/action/storage_attestation","attest_author":"https://pith.science/pith/5XP733EGDWOA4MDKAVBQ4WRRGE/action/author_attestation","sign_citation":"https://pith.science/pith/5XP733EGDWOA4MDKAVBQ4WRRGE/action/citation_signature","submit_replication":"https://pith.science/pith/5XP733EGDWOA4MDKAVBQ4WRRGE/action/replication_record"}},"created_at":"2026-05-18T03:24:40.167839+00:00","updated_at":"2026-05-18T03:24:40.167839+00:00"}