Finite-Size Scaling of the majority-voter model above the upper critical dimension - Archive ouverte HAL Accéder directement au contenu
Pré-Publication, Document De Travail (Preprint/Prepublication) Année : 2022

Finite-Size Scaling of the majority-voter model above the upper critical dimension

Résumé

The majority-voter model is studied by Monte Carlo simulations on hypercubic lattices of dimension $d=2$ to 7 with periodic boundary conditions. The critical exponents associated to the Finite-Size Scaling of the magnetic susceptibility are shown to be compatible with those of the Ising model. At dimension $d=4$, the numerical data are compatible with the presence of multiplicative logarithmic corrections. For $d\ge 5$, the estimates of the exponents are close to the prediction $d/2$ when taking into account the dangerous irrelevant variable at the Gaussian fixed point. Moreover, the universal values of the Binder cumulant are also compatible with those of the Ising model. This indicates that the upper critical dimension of the majority-voter model is not $d_c=6$ as claimed in the literature, but $d_c=4$ like the equilibrium Ising model.
Fichier principal
Vignette du fichier
paper.pdf (170.93 Ko) Télécharger le fichier
Origine : Fichiers produits par l'(les) auteur(s)

Dates et versions

hal-03834847 , version 1 (31-10-2022)
hal-03834847 , version 2 (06-01-2023)

Identifiants

Citer

Christophe Chatelain. Finite-Size Scaling of the majority-voter model above the upper critical dimension. 2022. ⟨hal-03834847v2⟩
24 Consultations
20 Téléchargements

Altmetric

Partager

Gmail Facebook X LinkedIn More