{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2015:OH5IM6RD7ODGSOAQCQ5QW5QLIJ","short_pith_number":"pith:OH5IM6RD","schema_version":"1.0","canonical_sha256":"71fa867a23fb86693810143b0b760b42526a545ba3c613ec71b81b090f3a3173","source":{"kind":"arxiv","id":"1507.07656","version":1},"attestation_state":"computed","paper":{"title":"Local equilibrium and the second law of thermodynamics for irreversible systems with thermodynamic inertia","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cond-mat.stat-mech","authors_text":"K. S. Glavatskiy","submitted_at":"2015-07-28T06:02:40Z","abstract_excerpt":"Validity of local equilibrium has been questioned for non-equilibrium systems which are characterized by delayed response. In particular, for systems with non-zero thermodynamic inertia, the assumption of local equilibrium leads to negative values of the entropy production, which is in contradiction with the second law of thermodynamics. In this paper we address this question by suggesting a variational formulation of irreversible evolution of a system with non-zero thermodynamic inertia. We introduce the Lagrangian, which depends on the properties of the normal and the so-called \"mirror-image"},"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":"1507.07656","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2015-07-28T06:02:40Z","cross_cats_sorted":[],"title_canon_sha256":"7c97c8f86adbcbcb8b78bf567eadce7aff595a1ec221e7eadc9eb43103eafe1b","abstract_canon_sha256":"5a9f453f977574bedd84385729c68f9218adbfab62ea80319e82e17ef155c5f4"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:36:12.231468Z","signature_b64":"5lIcv2q+6tDoxq15vZN+K910qlbmSg7fihOb+cMwFV3r1dBAgjKeqN7QENqeokg++0wMUc+j0YsmvkI9yXw5Ag==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"71fa867a23fb86693810143b0b760b42526a545ba3c613ec71b81b090f3a3173","last_reissued_at":"2026-05-18T01:36:12.230965Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:36:12.230965Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Local equilibrium and the second law of thermodynamics for irreversible systems with thermodynamic inertia","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cond-mat.stat-mech","authors_text":"K. S. Glavatskiy","submitted_at":"2015-07-28T06:02:40Z","abstract_excerpt":"Validity of local equilibrium has been questioned for non-equilibrium systems which are characterized by delayed response. In particular, for systems with non-zero thermodynamic inertia, the assumption of local equilibrium leads to negative values of the entropy production, which is in contradiction with the second law of thermodynamics. In this paper we address this question by suggesting a variational formulation of irreversible evolution of a system with non-zero thermodynamic inertia. We introduce the Lagrangian, which depends on the properties of the normal and the so-called \"mirror-image"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1507.07656","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":"1507.07656","created_at":"2026-05-18T01:36:12.231038+00:00"},{"alias_kind":"arxiv_version","alias_value":"1507.07656v1","created_at":"2026-05-18T01:36:12.231038+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1507.07656","created_at":"2026-05-18T01:36:12.231038+00:00"},{"alias_kind":"pith_short_12","alias_value":"OH5IM6RD7ODG","created_at":"2026-05-18T12:29:34.919912+00:00"},{"alias_kind":"pith_short_16","alias_value":"OH5IM6RD7ODGSOAQ","created_at":"2026-05-18T12:29:34.919912+00:00"},{"alias_kind":"pith_short_8","alias_value":"OH5IM6RD","created_at":"2026-05-18T12:29:34.919912+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/OH5IM6RD7ODGSOAQCQ5QW5QLIJ","json":"https://pith.science/pith/OH5IM6RD7ODGSOAQCQ5QW5QLIJ.json","graph_json":"https://pith.science/api/pith-number/OH5IM6RD7ODGSOAQCQ5QW5QLIJ/graph.json","events_json":"https://pith.science/api/pith-number/OH5IM6RD7ODGSOAQCQ5QW5QLIJ/events.json","paper":"https://pith.science/paper/OH5IM6RD"},"agent_actions":{"view_html":"https://pith.science/pith/OH5IM6RD7ODGSOAQCQ5QW5QLIJ","download_json":"https://pith.science/pith/OH5IM6RD7ODGSOAQCQ5QW5QLIJ.json","view_paper":"https://pith.science/paper/OH5IM6RD","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1507.07656&json=true","fetch_graph":"https://pith.science/api/pith-number/OH5IM6RD7ODGSOAQCQ5QW5QLIJ/graph.json","fetch_events":"https://pith.science/api/pith-number/OH5IM6RD7ODGSOAQCQ5QW5QLIJ/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/OH5IM6RD7ODGSOAQCQ5QW5QLIJ/action/timestamp_anchor","attest_storage":"https://pith.science/pith/OH5IM6RD7ODGSOAQCQ5QW5QLIJ/action/storage_attestation","attest_author":"https://pith.science/pith/OH5IM6RD7ODGSOAQCQ5QW5QLIJ/action/author_attestation","sign_citation":"https://pith.science/pith/OH5IM6RD7ODGSOAQCQ5QW5QLIJ/action/citation_signature","submit_replication":"https://pith.science/pith/OH5IM6RD7ODGSOAQCQ5QW5QLIJ/action/replication_record"}},"created_at":"2026-05-18T01:36:12.231038+00:00","updated_at":"2026-05-18T01:36:12.231038+00:00"}