Multiple metastable states in an off-lattice Potts model

TL;DR

This paper investigates the off-lattice two-dimensional Potts model, revealing multiple metastable states and switching behavior during phase transitions, with thermodynamics similar to long-range interaction systems.

Contribution

It introduces and analyzes the properties of a novel off-lattice Potts model, highlighting metastability and phase transition dynamics not previously characterized.

Findings

Identification of metastable regions in the caloric curve

Observation of switching behavior between metastable states

Thermodynamics similar to long-range interaction systems

Abstract

The interactions between a group of components are commonly studied in several areas of science (social science, biology, material science, complex dynamical systems, among others) using the methods of thermodynamics and statistical mechanics. In this work we study the properties of the recently proposed off-lattice, two-dimensional Potts model [Eur. Phys. J. B 87, 78 (2014)], originally motivated by the dynamics of agent opinions, and which is described by a Hamiltonian obtained by a maximum entropy inference procedure. We performed microcanonical and canonical Monte Carlo simulations of the first-order phase transition in the model, revealing a caloric curve with metastable regions. Furthermore, we report a "switching" behavior between multiple metastable states. We also note that the thermodynamics of the model has striking similarities with systems having long-range interactions, even though the interactions are short-ranged.