Topological origin of phase transitions in the absence of critical points of the energy landscape - Équipe Systèmes dynamiques : théories et applications Accéder directement au contenu
Article Dans Une Revue Journal of Statistical Mechanics: Theory and Experiment Année : 2018

Topological origin of phase transitions in the absence of critical points of the energy landscape

Résumé

Different arguments led to surmise that the deep origin of phase transitions has to be identified with suitable topological changes of potential-related submanifolds of configuration space of a physical system. An important step forward for this approach was achieved with two theorems stating that, for a wide class of physical systems, phase transitions should necessarily stem from topological changes of equipotential energy submanifolds of configuration space. However, it has been recently shown that the 2D lattice φ 4-model provides a counterexample that falsifies the mentioned theorems. On the basis of a numerical investigation, the present work indicates the way to overcome this difficulty: in spite of the absence of critical points of the potential in correspondence of the transition energy, also the phase transition of this model stems from a change of topology of both the energy and potential level sets. But in this case the topology changes are asymptotic (N → ∞). This fact is not obvious since the Z 2 symmetry-breaking transition could be given measure-based explanations in presence of trivial topology. * Electronic address:
Fichier principal
Vignette du fichier
1706.01430.pdf (2.64 Mo) Télécharger le fichier
Origine : Fichiers produits par l'(les) auteur(s)
Loading...

Dates et versions

hal-01776027 , version 1 (24-04-2018)

Identifiants

Citer

Matteo Gori, Roberto Franzosi, Marco Pettini. Topological origin of phase transitions in the absence of critical points of the energy landscape. Journal of Statistical Mechanics: Theory and Experiment, 2018, 2018, pp.093204. ⟨10.1088/1742-5468/aad6b6⟩. ⟨hal-01776027⟩
244 Consultations
183 Téléchargements

Altmetric

Partager

Gmail Facebook X LinkedIn More