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arXiv · 2208.08770

Freezing vs. equilibration dynamics in the Potts model

Francesco Chippari·Marco Picco
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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.

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Francesco Chippari, Marco Picco. 2022-08-18. Freezing vs. equilibration dynamics in the Potts model. https://doi.org/10.1088/1742-5468%2Facb257

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