{"paper":{"title":"Existence of Quasi-stationary states at the Long Range threshold","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["nlin.CD"],"primary_cat":"cond-mat.stat-mech","authors_text":"Alessio Turchi (CPT), Duccio Fanelli, Xavier Leoncini (CPT)","submitted_at":"2010-07-13T09:56:10Z","abstract_excerpt":"In this paper the lifetime of quasi-stationary states (QSS) in the $\\alpha-$HMF model are investigated at the long range threshold ($\\alpha=1$). It is found that QSS exist and have a diverging lifetime $\\tau(N)$ with system size which scales as $\\mbox{\\ensuremath{\\tau}(N)\\ensuremath{\\sim}}\\log N$, which contrast to the exhibited power law for $\\alpha<1$ and the observed finite lifetime for $\\alpha>1$. Another feature of the long range nature of the system beyond the threshold ($\\alpha>1$) namely a phase transition is displayed for $\\alpha=1.5$. The definition of a long range system is as well "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1007.2065","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"}