Monte Carlo simulations for Ising spins with spin greater than 1/2 applied to the square and triangular lattices with antiferromagnetic interactions and comparing results using Kawasaki and Glauber dynamics

2014/06/30 by Jenny Poulton, Poulton, Jenny, C. Bentham +5
Physics and Astronomy · #FOS: Physical sciences #Opinion Dynamics and Social Influence #Quantum many-body systems #Statistical Mechanics (cond-mat.stat-mech) #Theoretical and Computational Physics

paper · pdf · doi:10.48550/arxiv.1406.7816

openalex publication_date 2014/06/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28

Abstract

This paper has a pedagogical introduction. We describe the correct method for performing Monte Carlo simulations of Ising model systems with spin greater than one half. Correct and incorrect procedures are clearly outlined and the consequences of using the incorrect procedure are shown. The difference between Kawasaki and Glauber dynamics is then outlined and both methods are applied to the antiferromagnetic square and triangular lattices for S =1.

Related

• Theory and Simulation of the Ising Model
• Monte Carlo simulation of spin models with long-range interactions
• A hierarchy of self-consistent stochastic boundary conditions for Ising lattice simulations
• New Monte Carlo algorithms for classical spin systems
• Introduction to Monte Carlo methods for an Ising Model of a Ferromagnet