# A particle-based Ising model

Source: [A particle-based Ising model](<https://www.sota2.com/research/paper/68fa3dfc1e209131ce8e4896>)

Collection index: [llms.txt](<https://www.sota2.com/research/llms.txt>)

Data updated: 2025-10-25T01:48:08.867Z

Authors: Quentin Novinger, Antonio Suma, Daniel Sigg, Giuseppe Gonnella, Vincenzo Carnevale

Published: 2020-08-05T19:37:36.000Z

## 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.

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## Original sources and implementation

[Original paper](<https://arxiv.org/abs/2008.02329>)

[PDF](<https://arxiv.org/pdf/2008.02329.pdf>)