English

New results for the dynamical critical behaviour of the two-dimensional Ising model

Statistical Mechanics 2009-11-10 v1

Abstract

Using the new supercomputer JUMP at the Research Center Juelich, we were able to simulate large lattices (up to L=2000000, meaning a new world record) for long times (up to T=6000 for L=150000). Using this data, we examined the dynamical critical exponent z. The old assumption of z=2 with logarithmic corrections seems very unlikely according to our data, leaving the asymptotic value of z~=2.167.

Keywords

Cite

@article{arxiv.cond-mat/0404050,
  title  = {New results for the dynamical critical behaviour of the two-dimensional Ising model},
  author = {Daniel Tiggemann},
  journal= {arXiv preprint arXiv:cond-mat/0404050},
  year   = {2009}
}

Comments

6 pages, 4 figures, submitted to Int. J. Mod. Phys. C