Cluster algorithms: Difference between revisions

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


=== Sketches of the Swendsen-Wang algorithm ===
=== Sketches of the Swendsen-Wang algorithm ===

Revision as of 19:02, 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 Swendsen-Wang 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)