Editing Cluster algorithms
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the probability of bonding neighbouring sites with equal spins is not set ''a priori'' (See | the probability of bonding neighbouring sites with equal spins is not set ''a priori'' (See | ||
<ref>[http://dx.doi.org/10.1103/PhysRevLett.75.2792 J. Machta, Y. S. Choi, A. Lucke, T. Schweizer, and L. V. Chayes, "Invaded Cluster Algorithm for Equilibrium Critical Points", Physical Review Letters '''75''' pp. 2792-2795 (1995)]</ref>). | <ref>[http://dx.doi.org/10.1103/PhysRevLett.75.2792 J. Machta, Y. S. Choi, A. Lucke, T. Schweizer, and L. V. Chayes, "Invaded Cluster Algorithm for Equilibrium Critical Points", Physical Review Letters '''75''' pp. 2792-2795 (1995)]</ref>). | ||
The algorithm for an Ising system with [[periodic boundary conditions]] can be implemented as follows: | The algorithm for an Ising system with [[boundary conditions |periodic boundary conditions]] can be implemented as follows: | ||
Given a certain configuration of the system: | Given a certain configuration of the system: | ||
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== Geometric cluster algorithms == | == Geometric cluster algorithms == | ||
These methods have been proposed for the efficient simulation of continuum fluids, and have been applied to the | |||
simulation of [[mixtures]].<ref>[http://dx.doi.org/10.1103/PhysRevLett.92.035504 Jiwen Liu and Erik Luijten, "Rejection-Free Geometric Cluster Algorithm for Complex Fluids", Physical Review Letters '''92''' 035504 (2004)]</ref> <ref> [http://dx.doi.org/10.1103/PhysRevE.71.066701 Jiwen Liu and Erik Luijten, "Generalized geometric cluster algorithm for fluid simulation", Physical Review E '''71''' 066701 (2005)]</ref> | |||
<ref> [http://dx.doi.org/10.1063/1.1831274 Arnaud Buhot, "Cluster algorithm for nonadditive hard-core mixtures", Journal of Chemical Physics '''122''' 024105 (2005)] </ref> | |||
== Other applications of cluster algorithms == | == Other applications of cluster algorithms == |