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We calculate the critical temperature as well as the critical point exponents gamma/nu, beta/nu and nu basing on finite size scaling analysis. The calculated values of the critical temperature for S=1 are k_BT_C/J=1.590(3) and k_BT_C/J=2.100(4) for (3,4,6,4) and (3,3,3,3,6) Archimedean lattices, respectively. The critical exponents beta/nu, gamma/nu and 1/nu for S=1 are beta/nu=0.180(20), gamma/nu=1.46(8)"},"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":"1001.3078","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2010-01-18T20:35:09Z","cross_cats_sorted":[],"title_canon_sha256":"264be4678ad34974852607d3c7a8462017b5f418ea537086a6e4125c48fa6ed5","abstract_canon_sha256":"112fec501dfe1b323eba896710080ee707f912b803ce61219ec044c09103c140"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:19:23.436874Z","signature_b64":"aKBMScBqYR1hPfMOmC4Zu79eCyygFE/H5h0O6drMzjFWe9LCvgLcX1C3fjw7lXnM25bEgdIoNkNRac9pdnf5DQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"48faed2903a8812d936d6da1b708ace59fc2bce341897a4a14ff9aed7549e128","last_reissued_at":"2026-05-18T04:19:23.436465Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:19:23.436465Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Critical behaviour of the Ising S=1/2 and S=1 model on (3,4,6,4) and (3,3,3,3,6) Archimedean lattices","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cond-mat.stat-mech","authors_text":"F. W. S. Lima, J. Mostowicz, K. Malarz","submitted_at":"2010-01-18T20:35:09Z","abstract_excerpt":"We investigate the critical properties of the Ising S=1/2 and S=1 model on (3,4,6,4) and (3,3,3,3,6) Archimedean lattices. The system is studied through the extensive Monte Carlo simulations. We calculate the critical temperature as well as the critical point exponents gamma/nu, beta/nu and nu basing on finite size scaling analysis. The calculated values of the critical temperature for S=1 are k_BT_C/J=1.590(3) and k_BT_C/J=2.100(4) for (3,4,6,4) and (3,3,3,3,6) Archimedean lattices, respectively. 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