Monte Carlo simulation of joint density of states in one-dimensional Lebwohl-Lasher model using Wang-Landau algorithm

TL;DR

This paper applies the Wang-Landau Monte Carlo algorithm to the one-dimensional Lebwohl-Lasher model, performing both 1D and 2D random walks, and compares the results with exact solutions to validate the method.

Contribution

It demonstrates the effectiveness of the Wang-Landau algorithm in computing the joint density of states for the 1D Lebwohl-Lasher model, including 2D random walks.

Findings

Results agree well with exact solutions

Both 1D and 2D random walks successfully implemented

Method validates the use of Wang-Landau for this model

Abstract

Monte Carlo simulation using the Wang-Landau algorithm has been performed in an one-dimensional Lebwohl-Lasher model. Both one-dimensional and two-dimensional random walks have been carried out. The results are compared with the exact results which are available for this model.