English

Parallelization of Markov chain generation and its application to the multicanonical method

Statistical Mechanics 2015-05-13 v2 High Energy Physics - Lattice Biological Physics Computational Physics

Abstract

We develop a simple algorithm to parallelize generation processes of Markov chains. In this algorithm, multiple Markov chains are generated in parallel and jointed together to make a longer Markov chain. The joints between the constituent Markov chains are processed using the detailed balance. We apply the parallelization algorithm to multicanonical calculations of the two-dimensional Ising model and demonstrate accurate estimation of multicanonical weights.

Cite

@article{arxiv.0812.2964,
  title  = {Parallelization of Markov chain generation and its application to the multicanonical method},
  author = {Takanori Sugihara and Junichi Higo and Haruki Nakamura},
  journal= {arXiv preprint arXiv:0812.2964},
  year   = {2015}
}

Comments

15 pages, 5 figures, uses elsart.cls

R2 v1 2026-06-21T11:52:29.254Z