Cluster algorithms: Difference between revisions

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Cluster algorithms in Monte Carlo Simulation.
== Cluster algorithms in Monte Carlo Simulation.==


These algorithms are mainly used in the simulation of [[Ising Models|Ising-like models]]. The essential feature is the use of collective motions
These algorithms are mainly used in the simulation of [[Ising Models|Ising-like models]]. The essential feature is the use of collective motions
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be used to study phase transitions.
be used to study phase transitions.


As an introductory example we will discuss the Swendsen-Wang technique in the simulation of Ising models (Ref 1)
As an introductory example we will discuss the Swendsen-Wang technique (Ref 1) in the simulation of Ising models.
 
=== Sketches of the algorithm ===
 
== Wolf algorithm ==
== Wolf algorithm ==



Revision as of 18:01, 3 August 2007

Cluster algorithms in Monte Carlo Simulation.

These algorithms are mainly used in the simulation of Ising-like models. The essential feature is the use of collective motions of particles (spins) in a single Monte Carlo step.

An interesting property of some of these application is the fact that the percolation analysis of the clusters can be used to study phase transitions.

As an introductory example we will discuss the Swendsen-Wang technique (Ref 1) in the simulation of Ising models.

Sketches of the algorithm

Wolf algorithm

Invaded Cluter Algorithm

References

  1. Robert H. Swendsen and Jian-Sheng Wang, Nonuniversal critical dynamics in Monte Carlo simulations, Phys. Rev. Lett. 58, 86 - 88 (1987)