Geometrical Aspects in the Analysis of Microcanonical Phase-Transitions
Year: 2020
Authors: Bel-Hadj-Aissa G., Gori M., Penna V., Pettini G., Franzosi R.
Autors Affiliation: DSFTA, University of Siena, Via Roma 56, 53100 Siena, Italy; Quantum Biology Lab, Howard University, 2400 6th St NW, Washington, DC 20059, USA; Dipartimento di Fisica, Politecnico di Torino, Corso Duca degli Abruzzi 24, I-10129 Torino, Italy; Dipartimento di Fisica Università di Firenze, and I.N.F.N., Sezione di Firenze, via G. Sansone 1, I-50019 Sesto Fiorentino, Italy; QSTAR & CNR – Istituto Nazionale di Ottica, Largo Enrico Fermi 2, I-50125 Firenze, Italy
Abstract: Inthepresentwork,wediscusshowthefunctionalformofthermodynamicobservablescan be deduced from the geometric properties of subsets of phase space. The geometric quantities taken into account are mainly extrinsic curvatures of the energy level sets of the Hamiltonian of a system under investigation. In particular, it turns out that peculiar behaviours of thermodynamic observables at a phase transition point are rooted in more fundamental changes of the geometry of the energy level sets in phase space. More specifically, we discuss how microcanonical and geometrical descriptions of phase-transitions are shaped in the special case of φ4 models with either nearest-neighbours and mean-field interactions.
Journal/Review: ENTROPY
Volume: 22 (4) Pages from: 380-1 to: 380-19
KeyWords: Statistical mechanics, microcanonical ensemble, entropy DOI: 10.3390/e22040380Citations: 6data from “WEB OF SCIENCE” (of Thomson Reuters) are update at: 2024-04-21References taken from IsiWeb of Knowledge: (subscribers only)Connecting to view paper tab on IsiWeb: Click hereConnecting to view citations from IsiWeb: Click here