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Related Experiment Video

Updated: Jun 12, 2026

Generation and Coherent Control of Pulsed Quantum Frequency Combs

Generation and Coherent Control of Pulsed Quantum Frequency Combs

Published on: June 8, 2018

Equilibriumlike invaded cluster algorithm: critical exponents and dynamical properties.

I Balog¹, K Uzelac

¹Institute of Physics, P.O. Box 304, Bijenicka cesta 46, HR-10001 Zagreb, Croatia. balog@ifs.hr

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics

|May 21, 2010

Summary

We introduce an enhanced algorithm for studying critical phenomena in the Potts model. This method accurately determines critical exponents, offering high precision for thermal and magnetic properties.

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Area of Science:

Statistical physics
Computational physics

Background:

The invaded cluster algorithm (ICA) is a computational method used in statistical physics.
Driving systems to criticality while maintaining equilibrium is a challenge in simulations.

Purpose of the Study:

To present a detailed study of the equilibrium-like invaded cluster algorithm (elICA).
To assess the precision of critical exponents for the Potts model using elICA.
To investigate the algorithm's parameters in relation to dynamical properties.

Main Methods:

Extensive simulations of two special cases of the Potts model.
Inclusion of leading corrections to analyze critical exponents.
Examination of auxiliary parameter choices for dynamical properties.

Main Results:

High accuracy in determining both thermal and magnetic critical exponents.
Results are comparable to the best available data.
Discussion on the relation to the Li-Sokal bound for the dynamical exponent z.

Conclusions:

The equilibrium-like invaded cluster algorithm accurately calculates critical exponents for the Potts model.
The algorithm offers a precise method for studying systems at criticality.
Further insights into the algorithm's dynamical properties and theoretical bounds are provided.