English

Graphical representations and cluster algorithms for critical points with fields

Statistical Mechanics 2009-10-31 v3

Abstract

A two-replica graphical representation and associated cluster algorithm is described that is applicable to ferromagnetic Ising systems with arbitrary fields. Critical points are associated with the percolation threshold of the graphical representation. Results from numerical simulations of the Ising model in a staggered field are presented. The dynamic exponent for the algorithm is measured to be less than 0.5.

Keywords

Cite

@article{arxiv.cond-mat/9802063,
  title  = {Graphical representations and cluster algorithms for critical points with fields},
  author = {Oliver Redner and Jon Machta and Lincoln Chayes},
  journal= {arXiv preprint arXiv:cond-mat/9802063},
  year   = {2009}
}

Comments

Revtex, 12 pages with 2 figures