Equilibriumlike invaded cluster algorithm: Critical exponents and dynamical properties
Abstract
We present a detailed study of the equilibriumlike invaded cluster algorithm, recently proposed as an extension of the invaded cluster 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 .
- Publication:
-
Physical Review E
- Pub Date:
- April 2010
- DOI:
- 10.1103/PhysRevE.81.041111
- arXiv:
- arXiv:1004.1509
- Bibcode:
- 2010PhRvE..81d1111B
- Keywords:
-
- 05.50.+q;
- 64.60.F-;
- 75.10.Hk;
- 02.70.-c;
- Lattice theory and statistics;
- Equilibrium properties near critical points critical exponents;
- Classical spin models;
- Computational techniques;
- simulations;
- Condensed Matter - Statistical Mechanics
- E-Print:
- 11 pages, 13 figures, accepted for publication in Phys. Rev. E