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arXiv · hep-lat/9407006

Multibondic Cluster Algorithm for Monte Carlo Simulations of First-Order Phase Transitions

Wolfhard Janke·Stefan Kappler
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Abstract

Inspired by the multicanonical approach to simulations of first-order phase transitions we propose for $q$-state Potts models a combination of cluster updates with reweighting of the bond configurations in the Fortuin-Kastelein-Swendsen-Wang representation of this model. Numerical tests for the two-dimensional models with $q=7, 10$ and $20$ show that the autocorrelation times of this algorithm grow with the system size $V$ as $τ\propto V^α$, where the exponent takes the optimal random walk value of $α\approx 1$.

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Wolfhard Janke, Stefan Kappler. 1994-07-13. Multibondic Cluster Algorithm for Monte Carlo Simulations of First-Order Phase Transitions. https://doi.org/10.1103/physrevlett.74.212

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