Rhythmic behavior of an Ising Model with dissipation at low temperature - Archive ouverte HAL Accéder directement au contenu
Article Dans Une Revue ALEA : Latin American Journal of Probability and Mathematical Statistics Année : 2021

Rhythmic behavior of an Ising Model with dissipation at low temperature

Paolo Dai Pra
  • Fonction : Auteur
Marco Formentin
  • Fonction : Auteur
Daniele Tovazzi
  • Fonction : Auteur

Résumé

In this paper we consider the Glauber dynamics for the one-dimensional Ising model with dissipation, in a mesoscopic regime obtained by letting inverse temperature and volume go to infinity with a suitable scaling. In this limit the magnetization has a periodic behavior. Self-organized collective periodicity has been shown for many mean-field models but, to our knowledge, this is the first example with short-range interaction. This supports the view that self-organized periodicity is not linked with the mean-field assumption but it is a thermodynamic phenomenon compatible with short range interactions.
Fichier principal
Vignette du fichier
dissipativeIsing1.pdf (398.89 Ko) Télécharger le fichier
Origine : Fichiers produits par l'(les) auteur(s)

Dates et versions

hal-03775426 , version 1 (12-09-2022)

Identifiants

Citer

Raphaël Cerf, Paolo Dai Pra, Marco Formentin, Daniele Tovazzi. Rhythmic behavior of an Ising Model with dissipation at low temperature. ALEA : Latin American Journal of Probability and Mathematical Statistics, 2021, 18 (1), pp.439. ⟨10.30757/ALEA.v18-20⟩. ⟨hal-03775426⟩
5 Consultations
3 Téléchargements

Altmetric

Partager

Gmail Facebook X LinkedIn More