Critical behavior of hard-core lattice gases: Wang-Landau sampling with adaptive windows

Abstract

Critical properties of lattice gases with nearest-neighbor exclusion are investigated via the adaptive-window Wang-Landau algorithm on the square and simple cubic lattices, for which the model is known to exhibit an Ising-like phase transition. We study the particle density, order parameter, compressibility, Binder cumulant and susceptibility. Our results show that it is possible to estimate critical exponents using Wang-Landau sampling with adaptive windows. Finite-size-scaling analysis leads to results in fair agreement with exact values (in two dimensions) and numerical estimates (in three dimensions).

20 pages, 11 figures

References in corpus (9)

• Wang-Landau Algorithm: a Theoretical Analysis of the Saturation of the Error
• Monte Carlo simulations of 2d hard core lattice gases
• Multicritical Points and Crossover Mediating the Strong Violation of Universality: Wang-Landau Determinations in the Random-Bond $d=2$ Blume-Capel model
• Strong Violation of Critical Phenomena Universality: Wang-Landau Study of the 2d Blume-Capel Model under Bond Randomness
• Optimal Modification Factor and Convergence of the Wang-Landau Algorithm
• Entropic sampling via Wang-Landau random walks in dominant energy subspaces
• Improving Wang-Landau sampling with adaptive windows
• A Monte Carlo study of the triangular lattice gas with the first- and the second-neighbor exclusions
• Two-dimensional lattice polymers: adaptive windows simulations

Cited by in corpus (6)

• Complete high-precision entropic sampling
• Solution on the Bethe lattice of a hard core athermal gas with two kinds of particles
• Dynamically Optimized Wang-Landau Sampling with Adaptive Trial Moves and Modification Factors
• Rejection-free cluster Wang-Landau algorithm for hard-core lattice gases
• Optimal parallelisation strategies for flat histogram Monte Carlo sampling
• Jamming in Hierarchical Networks