Computer simulation of two continuous spin models using Wang-Landau-Transition-Matrix Monte Carlo Algorithm
arXiv:0809.3751 · doi:10.1016/j.cpc.2008.11.010
Abstract
Monte Carlo simulation using a combination of Wang Landau (WL) and Transition Matrix (TM) Monte Carlo algorithms to simulate two lattice spin models with continuous energy is described. One of the models, the one dimensional Lebwohl-Lasher model has an exact solution and we have used this to test the performance of the mixed algorithm (WLTM). The other system we have worked on is the two dimensional XY-model. The purpose of the present work is to test the performance of the WLTM algorithm in continuous models and to suggest methods for obtaining best results in such systems using this algorithm.
29 pages, 15 figures
References in corpus (18)
- An efficient, multiple range random walk algorithm to calculate the density of states
- Determining the density of states for classical statistical models: A random walk algorithm to produce a flat histogram
- Fast Algorithm to Calculate Density of States
- On the Wang-Landau Method for Off-Lattice Simulations in the "Uniform" Ensemble
- Understanding and Improving the Wang-Landau Algorithm
- Transition Matrix Monte Carlo Method
- Density of States Monte Carlo Method for Simulation of Fluids
- 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
- Convergence and Refinement of the Wang-Landau Algorithm
- Three-dimensional antiferromagnetic q-state Potts models: application of the Wang-Landau algorithm
- Wang-Landau Monte Carlo simulation of isotropic-nematic transition in liquid crystals
- Phase Transitions in the Two-Dimensional XY Model with Random Phases: a Monte Carlo Study
- Density of states of a two dimensional XY model from Wang-Landau algorithm
- Finite size scaling in the 2D XY-model and generalized universality
- Monte Carlo simulation of joint density of states in one-dimensional Lebwohl-Lasher model using Wang-Landau algorithm
- Extending the Broad Histogram Method for Continuous Systems
Cited by in corpus (6)
- Dynamic Canonical and Microcanonical Transition Matrix Analyses of Critical Behavior
- Accelerated rare event sampling
- A Projected Entropy Controller for Transition Matrix Calculations
- A Cluster Controller for Transition Matrix Calculations
- Transition Matrix Cluster Algorithms
- Performance of Wang-Landau algorithm in lattice model of liquid crystals