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Random-cluster multihistogram sampling for theq-state Potts model

2001/07/10 by Martin Weigel, Wolfhard Janke, Chin-Kun Hu +1 · 1 citation
Physics and Astronomy · #Complex Network Analysis Techniques #Quantum many-body systems #Theoretical and Computational Physics #cond-mat.stat-mech

paper · pdf · doi:10.1103/physreve.65.036109

12 pages, 9 figures, RevTeX4

arxiv created 2001/07/10 · openalex publication_date 2002/02/11 · arxiv updated 2009/11/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/01

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.

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