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: 10.1209/0295-5075/111/20001

Citazioni: 11
dati da “WEB OF SCIENCE” (of Thomson Reuters) aggiornati al: 2024-03-24
Riferimenti tratti da Isi Web of Knowledge: (solo abbonati)
Link per visualizzare la scheda su IsiWeb: Clicca qui
Link per visualizzare la citazioni su IsiWeb: Clicca qui