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

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

2001-07-10

arxiv.org/abs/cond-mat/0107201v1

Physics

Condensed Matter

Statistical Mechanics

12 pages, 9 figures, RevTeX4

Scientific paper

10.1103/PhysRevE.65.036109

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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