English

New algorithm of the high-temperature expansion for the Ising model in three dimensions

High Energy Physics - Lattice 2009-11-07 v1

Abstract

New algorithm of the finite lattice method is presented to generate the high-temperature expansion series of the Ising model. It enables us to obtain much longer series in three dimensions when compared not only to the previous algorithm of the finite lattice method but also to the standard graphical method. It is applied to extend the high-temperature series of the simple cubic Ising model from beta^{26} to beta^{46} for the free energy and from beta^{25} to beta^{32} for the magnetic susceptibility.

Keywords

Cite

@article{arxiv.hep-lat/0209019,
  title  = {New algorithm of the high-temperature expansion for the Ising model in three dimensions},
  author = {H. Arisue and T. Fujiwara},
  journal= {arXiv preprint arXiv:hep-lat/0209019},
  year   = {2009}
}

Comments

3 pages, Lattice2002(spin)