English

Equilibriumlike invaded cluster algorithm: critical exponents and dynamical properties

Statistical Mechanics 2015-05-18 v1

Abstract

We present a detailed study of the Equilibriumlike invaded cluster algorithm (EIC), recently proposed as an extension of the invaded cluster (IC) algorithm, designed to drive the system to criticality while still preserving the equilibrium ensemble. We perform extensive simulations on two special cases of the Potts model and examine the precision of critical exponents by including the leading corrections. We show that both thermal and magnetic critical exponents can be obtained with high accuracy compared to the best available results. The choice of the auxiliary parameters of the algorithm is discussed in context of dynamical properties. We also discuss the relation to the Li-Sokal bound for the dynamical exponent zz.

Keywords

Cite

@article{arxiv.1004.1509,
  title  = {Equilibriumlike invaded cluster algorithm: critical exponents and dynamical properties},
  author = {Ivan Balog and Katarina Uzelac},
  journal= {arXiv preprint arXiv:1004.1509},
  year   = {2015}
}

Comments

11 pages, 13 figures, accepted for publication in Phys. Rev. E

R2 v1 2026-06-21T15:08:24.965Z