Particle-based Ising model

Q Novinger and A Suma and D Sigg and G Gonnella and V Carnevale, PHYSICAL REVIEW E, 103, 012125 (2021).

DOI: 10.1103/PhysRevE.103.012125

We characterize equilibrium properties and relaxation dynamics of a two- dimensional lattice containing, at each site, two particles connected by a double-well potential (dumbbell). Dumbbells are oriented in the orthogonal direction with respect to the lattice plane and interact with each other through a Lennard-Jones potential truncated at the nearest neighbor distance. We show that the system's equilibrium properties are accurately described by a two-dimensional Ising model with an appropriate coupling constant. Moreover, we characterize the coarsening kinetics by calculating the cluster size as a function of time and compare the results with Monte Carlo simulations based on Glauber or reactive dynamics rate constants.

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