A geometric entropy detecting the Erdös-Rényi phase transition
Anno: 2015
Autori: Franzosi R., Felice D., Mancini S., Pettini M.
Affiliazione autori: QSTAR and INO-CNR, Largo E. Fermi 2, Firenze, 50125, Italy; School of Science and Technology, University of Camerino, Camerino, 62032, Italy; INFN-Sezione di Perugia, Via A. Pascoli, Perugia, 06123, Italy; Aix-Marseille University, Marseille, France; CNRS, Centre de Physique Théorique, UMR7332, Marseille, 13288, France
Abstract: We propose a method to associate a differentiable Riemannian manifold to a generic many-degrees-of-freedom discrete system which is not described by a Hamiltonian function. Then, in analogy with classical statistical mechanics, we introduce an entropy as the logarithm of the volume of the manifold. The geometric entropy so defined is able to detect a paradigmatic phase transition occurring in random graphs theory: the appearance of the \”giant component\” according to the Erdos-Renyi theorem. Copyright (C) EPLA, 2015
Giornale/Rivista: EPL
Volume: 111 Da Pagina: 20001-p1 A: 20001-p6
Maggiori informazioni: We acknowledge the financial support of the European Commission by the FET-Open grant agreement TOP-DRIM, No. FP7-ICT-318121.DOI: 10.1209/0295-5075/111/20001Citazioni: 11dati da “WEB OF SCIENCE” (of Thomson Reuters) aggiornati al: 2024-03-24Riferimenti tratti da Isi Web of Knowledge: (solo abbonati) Link per visualizzare la scheda su IsiWeb: Clicca quiLink per visualizzare la citazioni su IsiWeb: Clicca qui