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Random-cluster multi-histogram sampling for the q-state Potts model

Martin Weigel·Wolfhard Janke·Chin-Kun Hu
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Abstract

Using the random-cluster representation of the $q$-state Potts models we consider the pooling of data from cluster-update Monte Carlo simulations for different thermal couplings $K$ and number of states per spin $q$. Proper combination of histograms allows for the evaluation of thermal averages in a broad range of $K$ and $q$ values, including non-integer values of $q$. Due to restrictions in the sampling process proper normalization of the combined histogram data is non-trivial. We discuss the different possibilities and analyze their respective ranges of applicability.

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Martin Weigel, Wolfhard Janke, Chin-Kun Hu. 2001-07-10. Random-cluster multi-histogram sampling for the q-state Potts model. https://doi.org/10.1103/physreve.65.036109

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