# Freezing vs. equilibration dynamics in the Potts model

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 quenches from $T_i \rightarrow \infty$ to $T \leq T_s$, 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 ($3d$) and the triangular ($2d$) lattices are analysed in detail. We show that the dynamics blocks when lattices have acyclic \textit{unitary structures} while the system goes to the equilibrium when these are cyclic, no matter the coordination number ($z$) of the particular considered lattice.
Document type :
Preprints, Working Papers, ...
Domain :

https://hal.archives-ouvertes.fr/hal-03780439
Contributor : Marco Picco Connect in order to contact the contributor
Submitted on : Monday, September 19, 2022 - 12:46:38 PM
Last modification on : Tuesday, September 20, 2022 - 4:07:59 AM

### Identifiers

• HAL Id : hal-03780439, version 1
• ARXIV : 2208.08770

### Citation

Francesco Chippari, Marco Picco. Freezing vs. equilibration dynamics in the Potts model. 2022. ⟨hal-03780439⟩

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