Random-cluster multihistogram sampling for the q-state Potts model

Martin Weigel, Wolfhard Janke, C.-K. 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 noninteger values of q. Due to restrictions in the sampling process correct normalization of the combined histogram data is nontrivial. We discuss the different possibilities and analyze their respective ranges of applicability.
Original languageEnglish
Article number036109
JournalPhysical Review E
Volume65
DOIs
Publication statusPublished - 11 Feb 2002

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Cluster Sampling
Random Sampling
Potts Model
histograms
Histogram
sampling
Pooling
Range of data
Normalization
constrictions
Monte Carlo Simulation
Update
Restriction
evaluation
Evaluation
simulation

Cite this

Random-cluster multihistogram sampling for the q-state Potts model. / Weigel, Martin; Janke, Wolfhard; Hu, C.-K.

In: Physical Review E, Vol. 65, 036109, 11.02.2002.

Research output: Contribution to journalArticle

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