Equilibriumlike invaded cluster algorithm: critical exponents and dynamical properties

Details Equilibriumlike invaded cluster algorithm: critical exponents and dynamical properties Equilibriumlike invaded cluster algorithm: critical exponents and dynamical properties

2010-04-09

arxiv.org/abs/1004.1509v1

Physics

Condensed Matter

Statistical Mechanics

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

Scientific paper

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 $z$.

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