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However, this kind of evolution is is mainly due to Joule heat, which also makes the magnetic field vanishes exponentially. Zero Woltjer-Taylor states are not physically attractive. Instead of examine $\\Delta$, we introduce the quantity $\\theta_{\\nabla \\times \\vec{B},\\vec{B}}$ and $R$ to examine if the plasma reaches to the strong (general) Woltjer-Taylor state, and then derive "},"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":"1212.5757","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.plasm-ph","submitted_at":"2012-12-23T03:10:10Z","cross_cats_sorted":[],"title_canon_sha256":"c9d50f58cfa1468eddfb97ac5438b39ee1fe0bd1c11a5adc06f7f9bebef5de72","abstract_canon_sha256":"9eeeada599c6929da20103e35ad8d2414c383e7a6f2da320135add11a30f0c92"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:07:52.679342Z","signature_b64":"jfUIbBp2J/9VLekAMdMq67DBOL/7Uhc/K32oXI8Ue0eQd+MiLl7FT3gJqYaZeJsDlQbH0lesEIO2n2NzYMpZAQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"fe9f10a88b624018c6ffffcaae239b938ff74892d986e0f075f107e26bbf0dee","last_reissued_at":"2026-05-18T03:07:52.678599Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:07:52.678599Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Conditions for plasma evolution to the\\ strong general Woltjer-Taylor state","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"physics.plasm-ph","authors_text":"Hong-yi Fan, Jun-Hua Chen","submitted_at":"2012-12-23T03:10:10Z","abstract_excerpt":"We find that the proof in the recent paper$\\textsuperscript{\\cite{14}}$ can not justify the authors' conclusion. 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