Rejection-free cluster Wang-Landau algorithm for hard-core lattice gases

Abstract

We introduce a rejection-free, flat histogram, cluster algorithm to determine the density of states of hard-core lattice gases. We show that the algorithm is able to efficiently sample low entropy states that are usually difficult to access, even when the excluded volume per particle is large. The algorithm is based on simultaneously evaporating all the particles in a strip and reoccupying these sites with a new appropriately chosen configuration. We implement the algorithm for the particular case of the hard-core lattice gas in which the first k next-nearest neighbors of a particle are excluded from being occupied. It is shown that the algorithm is able to reproduce the known results for k = 1,2,3 both on the square and cubic lattices. We also show that, in comparison, the corresponding flat histogram algorithms with either local moves or unbiased cluster moves are less accurate and do not converge as the system size increases.

arXiv comment19 Pages, 25 figures

References in corpus (44)

• An efficient, multiple range random walk algorithm to calculate the density of states
• Critical Phenomena and Renormalization-Group Theory
• Multicanonical Ensemble: A New Approach to Simulate First-order Phase Transitions
• Determining the density of states for classical statistical models: A random walk algorithm to produce a flat histogram
• Two-step melting in two dimensions: First-order liquid-hexatic transition
• Fast Algorithm to Calculate Density of States
• Understanding and Improving the Wang-Landau Algorithm
• Wang-Landau Algorithm: a Theoretical Analysis of the Saturation of the Error
• On the orientational ordering of long rods on a lattice
• Monte Carlo simulations of 2d hard core lattice gases
• The nematic-disordered phase transition in systems of long rigid rods on two dimensional lattices
• Lattice gas description of pyrochlore and checkerboard antiferromagnets in a strong magnetic field
• Phase transitions in a system of hard rectangles on the square lattice
• Triangular Trimers on the Triangular Lattice: an Exact Solution
• Multiple Phase Transitions in Extended Hard Core Lattice Gas Models in Two Dimensions
• Columnar order and Ashkin-Teller criticality in mixtures of hard-squares and dimers
• High-Activity Perturbation Expansion for the Hard Square Lattice Gas
• Extracting the equation of state of lattice gases from Random Sequential Adsorption simulations by means of the Gibbs adsorption isotherm
• Monte Carlo algorithms based on the number of potential moves
• The isotropic-nematic transition for hard rods on a three--dimensional (3D) cubic lattice
• Stability of columnar order in assemblies of hard rectangles or squares
• Glass Transition in a 2D Lattice Model
• Different phases of a system of hard rods on three dimensional cubic lattice
• High-Activity Expansion for the Columnar Phase of the Hard Rectangle Gas
• Phase transitions in a system of hard $Y$-shaped particles on the triangular lattice
• Phase Transitions in Hardcore Lattice Gases on the Honeycomb Lattice
• Liquid-Hextic-Solid Phase Transition of a Hard-Core Lattice Gas with Third Neighbor Exclusion
• A first-order phase-transition, a super-cooled fluid, and a glass in a two-dimensional lattice gas model
• Direct measurements of the dynamical correlation length indicate its divergence at an athermal glass transition
• Phase diagram of a system of hard cubes on the cubic lattice
• Complete high-precision entropic sampling
• Estimating the Critical Parameters of the Hard Square Lattice Gas Model
• Phase transitions in systems of hard rectangles with non-integer aspect ratio
• Solution on the Bethe lattice of a hard core athermal gas with two kinds of particles
• Exploiting a semi-analytic approach to study first order phase transitions
• Transfer-matrix study of a hard-square lattice gas with two kinds of particles and density anomaly
• Ideal glass transition in a simple 2D lattice model
• Husimi lattice solutions and the coherent-anomaly-method analysis for hard-square lattice gases
• Intrinsic convergence properties of entropic sampling algorithms
• Critical behavior of hard-core lattice gases: Wang-Landau sampling with adaptive windows
• Three stable phases and thermodynamic anomaly in a binary mixture of hard particles
• Hard core lattice gas with third next-nearest neighbor exclusion on triangular lattice: one or two phase transitions?
• Thermodynamic behavior of binary mixtures of hard spheres: Semianalytical solutions on a Husimi lattice built with cubes
• Fluid-fluid demixing and density anomaly in a ternary mixture of hard spheres

Cited by in corpus (3)

• The phase transition from nematic to high-density disordered phase in a system of hard rods on a lattice
• The freezing phase transition in hard core lattice gases on triangular lattice with exclusion up to seventh next-nearest neighbor
• Hard core lattice gas with third next-nearest neighbor exclusion on triangular lattice: one or two phase transitions?