Monte Carlo Studies of the Ising Antiferromagnet with a Ferromagnetic Mean-field Term

2014/01/01 by G. Brown, Gregory Brown, Per Arne Rikvold +1 · 5 citations
Mathematics · Physics and Astronomy · #Antiferromagnetism #Computer science #Condensed matter physics #Crossover #Ferromagnetism #Hybrid Monte Carlo #Ising model #Markov chain Monte Carlo #Mathematics #Mean field theory #Monte Carlo method #Monte Carlo method in statistical physics #Phase (matter) #Phase diagram #Physics #Physics of Superconductivity and Magnetism #Quantum many-body systems #Quantum mechanics #Statistical physics #Statistics #Term (time) #Theoretical and Computational Physics #cond-mat.mtrl-sci #cond-mat.stat-mech

paper · pdf · open access · doi:10.1016/j.phpro.2014.08.125

published in Physics Procedia 57, 20-23 (Elsevier BV) · Four pages

openalex publication_date 2014/01/01 · arxiv created 2014/05/18 · arxiv updated 2014/12/23 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

The unusual thermodynamic properties of the Ising antiferromagnet supplemented with a ferromagnetic, mean- field term are outlined. This simple model is inspired by more realistic models of spin-crossover materials. The phase diagram is estimated using Metropolis Monte Carlo methods, and differences with preliminary Wang-Landau Monte Carlo results for small systems are noted.

Citations

• Determining the density of states for classical statistical models: A random walk algorithm to produce a flat histogram
• Equation of State Calculations by Fast Computing Machines

Cited by

• Phase diagrams and free-energy landscapes for model spin-crossover materials with antiferromagnetic-like nearest-neighbor and ferromagnetic-like long-range interactions
• Equilibrium, metastability, and hysteresis in a model spin-crossover material with nearest-neighbor antiferromagnetic-like and long-range ferromagnetic-like interactions