A particle-based Ising model
Statistical Mechanics
2021-01-27 v3
Abstract
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.
Cite
@article{arxiv.2008.02329,
title = {A particle-based Ising model},
author = {Quentin Novinger and Antonio Suma and Daniel Sigg and Giuseppe Gonnella and Vincenzo Carnevale},
journal= {arXiv preprint arXiv:2008.02329},
year = {2021}
}