English

Monte Carlo simulation of joint density of states of two continuous spin models using Wang-Landau-Transition-Matrix Algorithm

Statistical Mechanics 2010-05-27 v1

Abstract

Monte Carlo simulation has been performed in one-dimensional Lebwohl-Lasher model and two dimensional XY-model using the Wang-Landau and the Wang-Landau-Transition-Matrix Monte Carlo methods. Random walk has been performed in the two-dimensional space comprising of energy-order parameter and energy-correlation function and the joint density of states (JDOS) were obtained. From the JDOS the order parameter, susceptibility and correlation function are calculated. Agreement between the results obtained from the two algorithms is very good.

Keywords

Cite

@article{arxiv.1005.4847,
  title  = {Monte Carlo simulation of joint density of states of two continuous spin models using Wang-Landau-Transition-Matrix Algorithm},
  author = {Shyamal Bhar and Soumen Kumar Roy},
  journal= {arXiv preprint arXiv:1005.4847},
  year   = {2010}
}

Comments

10 pages, 11 figures