# Phase separation of the Potts model in the square lattice

@article{IbezdeBerganza2007PhaseSO, title={Phase separation of the Potts model in the square lattice}, author={M. Ib{\'a}{\~n}ez de Berganza and Ezequiel Ferrero and Sergio A. Cannas and Vittorio Loreto and Alberto Petri}, journal={The European Physical Journal Special Topics}, year={2007}, volume={143}, pages={273-275} }

Abstract.
When the two dimensional q-color Potts model in the square lattice is quenched at zero temperature with Glauber dynamics, the energy decreases in time following an Allen-Cahn power law, and the system converges to a phase with energy higher than the ground state energy after an arbitrary large time when q>4. At low but finite temperature, it cesses to obey the power-law regime and orders after a very long time, which increases with q, and before which it performs a domain growth…

## 9 Citations

Low-temperature universal dynamics of the bidimensional Potts model in the large q limit

- PhysicsJournal of Statistical Mechanics: Theory and Experiment
- 2021

We study the low temperature quench dynamics of the two-dimensional Potts model in the limit of a large number of states, q ≫ 1. We identify a q-independent crossover temperature (the pseudo…

How many phases nucleate in the bidimensional Potts model?

- PhysicsJournal of Statistical Mechanics: Theory and Experiment
- 2022

We study the kinetics of the two-dimensional q > 4-state Potts model after a shallow quench to a temperature slightly below the critical one and above the pseudo spinodal. We use numerical methods…

Long-term ordering kinetics of the two-dimensional q-state Potts model.

- PhysicsPhysical review. E, Statistical, nonlinear, and soft matter physics
- 2007

The nonequilibrium dynamics of the q-state Potts model in the square lattice is studied, after a quench to subcritical temperatures, by means of a continuous time Monte Carlo algorithm and the existence of different dynamical regimes is found, according to quench temperature range.

Multinucleation in the first-order phase transition of the 2d Potts model

- PhysicsJournal of Physics: Conference Series
- 2019

Using large-scale numerical simulations we studied the kinetics of the 2d q-Potts model for q > 4 after a shallow subcritical quench from a high-temperature homogeneous configuration. This protocol…

Metastability in the Potts model: exact results in the large q limit

- Physics
- 2020

We study the metastable equilibrium properties of the two-dimensional Potts model with heat-bath transition rates using a novel expansion. The method is especially powerful for large number of state…

Dinámica de relajación del modelo de Potts de q estados bidimensional

- Physics
- 2011

We analyze the bidimensional q-state Potts model, a paradigmatic model in the study of Statistical Mechanics of Critical Phenomena and Phase Transitions, which presents first (q > 4) and second order…

A lattice model approach to the morphology formation from ternary mixtures during the evaporation of one component

- PhysicsThe European Physical Journal Special Topics
- 2019

Abstract
Stimulated by experimental evidence in the field of solution-born thin films, we study the morphology formation in a three state lattice system subjected to the evaporation of one component.…

Quantitative analysis of phase formation and growth in ternary mixtures upon evaporation of one component

- PhysicsPhysical Review E
- 2022

We perform a quantitative analysis of Monte–Carlo simulations results of phase separation in ternary blends upon evaporation of one component. Speciﬁcally, we calculate the average domain size and…

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