Density of States Monte Carlo Method for Simulation of Fluids
arXiv:cond-mat/0201470 · doi:10.1063/1.1463055
Abstract
A Monte Carlo method based on a density-of-states sampling is proposed for study of arbitrary statistical mechanical ensembles in a continuum. A random walk in the two-dimensional space of particle number and energy is used to estimate the density of states of the system; this density of states is continuously updated as the random walk visits individual states. The validity and usefulness of the method are demonstrated by applying it to the simulation of a Lennard-Jones fluid. Results for its thermodynamic properties, including the vapor-liquid phase coexistence curve, are shown to be in good agreement with high-accuracy literature data.
5 pages, 3 figures, accepted by J Chem Phys
References in corpus (1)
Cited by in corpus (33)
- Fast Algorithm to Calculate Density of States
- Wang-Landau algorithm for continuous models and joint density of states
- An improved Monte Carlo method for direct calculation of the density of states
- Wang-Landau Algorithm: a Theoretical Analysis of the Saturation of the Error
- Performance Limitations of Flat Histogram Methods and Optimality of Wang-Landau Sampling
- Automatic Coarse Graining of Polymers
- Wang-Landau sampling for quantum systems: algorithms to overcome tunneling problems and calculate the free energy
- Sampling along reaction coordinates with the Wang-Landau method
- Modern computational studies of the glass transition
- Potential of Mean Force between a Spherical Particle Suspended in a Nematic Liquid Crystal and a Substrate
- Scalable replica-exchange framework for Wang-Landau sampling
- Convergence and Refinement of the Wang-Landau Algorithm
- Optimal Modification Factor and Convergence of the Wang-Landau Algorithm
- Monte Carlo Simulations in Multibaric-Multithermal Ensemble
- Density of states of a binary Lennard-Jones Glass
- Simulation via Direct Computation of Partition Functions
- Scaling Laws and Critical Properties for and Metals
- Surface critical behavior of fluids: Lennard-Jones fluid near weakly attractive substrate
- Multicanonical MCMC for Sampling Rare Events
- Quenched bond randomness in marginal and non-marginal Ising spin models in 2D
- Optimized ensemble Monte Carlo simulations of dense Lennard-Jones fluids
- Performance of Wang-Landau algorithm in continuous spin models and a case study : modified XY-model
- Universality aspects of the 2d random-bond Ising and 3d Blume-Capel models
- Evaluation of the grand-canonical partition function using Expanded Wang-Landau simulations. V. Impact of an electric field on the thermodynamic properties and ideality contours of water
- Computer simulation of two continuous spin models using Wang-Landau-Transition-Matrix Monte Carlo Algorithm
- Monte Carlo simulation of joint density of states in one-dimensional Lebwohl-Lasher model using Wang-Landau algorithm
- Benchmark free energies and entropies for saturated and compressed water
- Impact of Friedel oscillations on vapor-liquid equilibria and supercritical properties in 2D and 3D
- Perturbation method to calculate the density of states
- Activated sampling in complex materials at finite temperature: the properly-obeying-probability activation-relaxation technique
- Ginzburg-Landau free energy for molecular fluids: determination and coarse-graining
- Performance of Wang-Landau algorithm in lattice model of liquid crystals
- Efficient implementation of the Wang-Landau algorithm for systems with length-scalable potential energy functions