Difference of energy density of states in the Wang-Landau algorithm

Abstract

Paying attention to the difference of density of states, Δln g(E) = ln g(E+ΔE) - ln g(E), we study the convergence of the Wang-Landau method. We show that this quantity is a good estimator to discuss the errors of convergence, and refer to the $1/t$ algorithm. We also examine the behavior of the 1st-order transition with this difference of density of states in connection with Maxwell's equal area rule. A general procedure to judge the order of transition is given.

References in corpus (4)

• Wang-Landau Algorithm: a Theoretical Analysis of the Saturation of the Error
• Analysis of the convergence of the 1/t and Wang-Landau algorithms in the calculation of multidimensional integrals
• Optimal Modification Factor and Convergence of the Wang-Landau Algorithm
• Monte Carlo study of the antiferromagnetic three-state Potts model with staggered polarization field on the square lattice

Cited by in corpus (9)

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• Intrinsic convergence properties of entropic sampling algorithms
• Perturbation method to calculate the density of states
• Dynamically Optimized Wang-Landau Sampling with Adaptive Trial Moves and Modification Factors
• Equivalence between microcanonical methods for lattice models
• On the nature of the phase transitions in two-dimensional type II superconductors
• Density of states and ground state magnetic ordering of the triangular lattice three-state Potts model