{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2017:YUDH3VF47UXEJ6KYUUPUV532P5","short_pith_number":"pith:YUDH3VF4","schema_version":"1.0","canonical_sha256":"c5067dd4bcfd2e44f958a51f4af77a7f766d990fa0684f890df6f2cf47f596d9","source":{"kind":"arxiv","id":"1702.02099","version":1},"attestation_state":"computed","paper":{"title":"Fokker-Planck formalism approach to Kibble-Zurek scaling laws and non-equilibrium dynamics","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["quant-ph"],"primary_cat":"cond-mat.stat-mech","authors_text":"Martin. B. Plenio, Ramil Nigmatullin, Ricardo Puebla, Tanja E. Mehlst\\\"aubler","submitted_at":"2017-02-07T17:02:37Z","abstract_excerpt":"We study the non-equilibrium dynamics of second-order phase transitions in a simplified Ginzburg-Landau model using the Fokker-Planck formalism. In particular, we focus on deriving the Kibble-Zurek scaling laws that dictate the dependence of spatial correlations on the quench rate. In the limiting cases of overdamped and underdamped dynamics, the Fokker-Planck method confirms the theoretical predictions of the Kibble-Zurek scaling theory. The developed framework is computationally efficient, enables the prediction of finite-size scaling functions and is applicable to microscopic models as well"},"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":"1702.02099","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2017-02-07T17:02:37Z","cross_cats_sorted":["quant-ph"],"title_canon_sha256":"fe3016e24524b8e90954bf2da296a08407643893905bb8ef067134cac489423e","abstract_canon_sha256":"9a2f57217a43a59055379017e8d9c10c8584b7053325ffded804d35bbabaa01d"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:46:07.618118Z","signature_b64":"WmKOz3LqOHbYtPgr9PCmtoioOb9d31yh5qLcGR5SKSFuc+SBJ6U7+X4z87Hpc5UgXiEccrp/WlTenR57gtuiBw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"c5067dd4bcfd2e44f958a51f4af77a7f766d990fa0684f890df6f2cf47f596d9","last_reissued_at":"2026-05-18T00:46:07.617668Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:46:07.617668Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Fokker-Planck formalism approach to Kibble-Zurek scaling laws and non-equilibrium dynamics","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["quant-ph"],"primary_cat":"cond-mat.stat-mech","authors_text":"Martin. B. Plenio, Ramil Nigmatullin, Ricardo Puebla, Tanja E. Mehlst\\\"aubler","submitted_at":"2017-02-07T17:02:37Z","abstract_excerpt":"We study the non-equilibrium dynamics of second-order phase transitions in a simplified Ginzburg-Landau model using the Fokker-Planck formalism. In particular, we focus on deriving the Kibble-Zurek scaling laws that dictate the dependence of spatial correlations on the quench rate. In the limiting cases of overdamped and underdamped dynamics, the Fokker-Planck method confirms the theoretical predictions of the Kibble-Zurek scaling theory. The developed framework is computationally efficient, enables the prediction of finite-size scaling functions and is applicable to microscopic models as well"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1702.02099","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":"1702.02099","created_at":"2026-05-18T00:46:07.617748+00:00"},{"alias_kind":"arxiv_version","alias_value":"1702.02099v1","created_at":"2026-05-18T00:46:07.617748+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1702.02099","created_at":"2026-05-18T00:46:07.617748+00:00"},{"alias_kind":"pith_short_12","alias_value":"YUDH3VF47UXE","created_at":"2026-05-18T12:31:56.362134+00:00"},{"alias_kind":"pith_short_16","alias_value":"YUDH3VF47UXEJ6KY","created_at":"2026-05-18T12:31:56.362134+00:00"},{"alias_kind":"pith_short_8","alias_value":"YUDH3VF4","created_at":"2026-05-18T12:31:56.362134+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/YUDH3VF47UXEJ6KYUUPUV532P5","json":"https://pith.science/pith/YUDH3VF47UXEJ6KYUUPUV532P5.json","graph_json":"https://pith.science/api/pith-number/YUDH3VF47UXEJ6KYUUPUV532P5/graph.json","events_json":"https://pith.science/api/pith-number/YUDH3VF47UXEJ6KYUUPUV532P5/events.json","paper":"https://pith.science/paper/YUDH3VF4"},"agent_actions":{"view_html":"https://pith.science/pith/YUDH3VF47UXEJ6KYUUPUV532P5","download_json":"https://pith.science/pith/YUDH3VF47UXEJ6KYUUPUV532P5.json","view_paper":"https://pith.science/paper/YUDH3VF4","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1702.02099&json=true","fetch_graph":"https://pith.science/api/pith-number/YUDH3VF47UXEJ6KYUUPUV532P5/graph.json","fetch_events":"https://pith.science/api/pith-number/YUDH3VF47UXEJ6KYUUPUV532P5/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/YUDH3VF47UXEJ6KYUUPUV532P5/action/timestamp_anchor","attest_storage":"https://pith.science/pith/YUDH3VF47UXEJ6KYUUPUV532P5/action/storage_attestation","attest_author":"https://pith.science/pith/YUDH3VF47UXEJ6KYUUPUV532P5/action/author_attestation","sign_citation":"https://pith.science/pith/YUDH3VF47UXEJ6KYUUPUV532P5/action/citation_signature","submit_replication":"https://pith.science/pith/YUDH3VF47UXEJ6KYUUPUV532P5/action/replication_record"}},"created_at":"2026-05-18T00:46:07.617748+00:00","updated_at":"2026-05-18T00:46:07.617748+00:00"}