{"paper":{"title":"On the discontinuity of the specific heat of the Ising model on a scale-free network","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.dis-nn"],"primary_cat":"cond-mat.stat-mech","authors_text":"B. Berche, M. Krasnytska, R. Kenna, Yu. Holovatch","submitted_at":"2015-10-21T11:32:57Z","abstract_excerpt":"We consider the Ising model on an annealed scale-free network with node-degree distribution characterized by a power-law decay $P(K)\\sim K^{-\\lambda}$. It is well established that the model is characterized by classical mean-field exponents for $\\lambda>5$. In this note we show that the specific-heat discontinuity $\\delta c_h$ at the critical point remains $\\lambda$-dependent even for $\\lambda>5$: $\\delta c_h=3(\\lambda-5)(\\lambda-1)/[2(\\lambda-3)^2]$ and attains its mean-field value $\\delta c_h=3/2$ only in the limit $\\lambda\\to \\infty$. We compare this behaviour with recent measurements of th"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1510.06216","kind":"arxiv","version":2},"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"}