Article Dans Une Revue Journal of Statistical Mechanics: Theory and Experiment Année : 2023

Freezing vs. equilibration dynamics in the Potts model

Résumé

Abstract We study the quench dynamics of the q Potts model on different bi/tri-dimensional lattice topologies. In particular, we are interested in instantaneous quench from T i → ∞ to T ⩽ T s , where T s is the (pseudo)-spinodal temperature. The goal is to explain why, in the large- q limit, the low-temperature dynamics freezes on some lattices while on others the equilibrium configuration is easily reached. The cubic (3 d ) and the triangular (2 d ) lattices are analysed in detail. We show that the dynamics blocks when lattices have acyclic unitary structures while the system goes to the equilibrium when these are cyclic, no matter the coordination number ( z ) of the particularly considered lattice.

Dates et versions

hal-04048921 , version 1 (28-03-2023)

Identifiants

Citer

Francesco Chippari, Marco Picco. Freezing vs. equilibration dynamics in the Potts model. Journal of Statistical Mechanics: Theory and Experiment, 2023, 2023 (2), pp.023201. ⟨10.1088/1742-5468/acb257⟩. ⟨hal-04048921⟩
47 Consultations
0 Téléchargements

Altmetric

Partager

  • More