Density of states for systems with multiple order parameters: a constrained Wang-Landau method

Abstract

A macroscopically constrained Wang-Landau Monte Carlo method was recently proposed to calculate the joint density of states (DOS) for systems with multiple order parameters. Here we demonstrate results for a nearest-neighbor Ising antiferromagnet with ferromagnetic long-range interactions (a model spin-crossover material). Its two relevant order parameters are the magnetization $M$ and the staggered magnetization $M_{\mathrm{s}}$. The joint DOS, $g(E,M,M_{\mathrm{s}})$ where $E$ is the total system energy, is calculated for zero external field and long-range interaction strength, and then obtained for arbitrary values of these two field-like model parameters by a simple transformation of $E$. Illustrations are shown for several parameter sets.

8 pages, 3 figures

References in corpus (4)

• Equilibrium, Metastability, and Hysteresis in a Model Spin-crossover Material with Nearest-neighbor Antiferromagnetic-like and Long-range Ferromagnetic-like Interactions
• From Network Reliability to the Ising Model: A Parallel Scheme for Estimating the Joint Density of States
• Macroscopically constrained Wang-Landau method for systems with multiple order parameters and its application to drawing complex phase diagrams
• Monte Carlo Studies of the Ising Antiferromagnet with a Ferromagnetic Mean-field Term

Cited by in corpus (3)

• Macroscopically constrained Wang-Landau method for systems with multiple order parameters and its application to drawing complex phase diagrams
• Multistability in an unusual phase diagram induced by the competition between antiferromagnetic-like short-range and ferromagnetic-like long-range interactions
• Phase diagrams and free-energy landscapes for model spin-crossover materials with antiferromagnetic-like nearest-neighbor and ferromagnetic-like long-range interactions