2005/02/11 by Hans-Otto Georgii, Jozsef Lorinczi, József Lorinczi +2
Mathematics · Physics and Astronomy · #Quantum many-body systems #Random Matrices and Applications #Theoretical and Computational Physics #cond-mat.stat-mech #math-ph #math.MP #msc:60K35 #msc:65C40 #msc:82B21 #msc:82B26
paper · pdf · doi:10.1088/1742-5468/2005/06/p06011
published as J. Stat. Mech. (2005) P06011 · 24 pages, 16 figures
arxiv created 2005/02/11 · openalex publication_date 2005/06/17 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/30
We investigate the continuum q -Potts model at its transition point from the disordered to the ordered regime, with particular emphasis on the coexistence of disordered and ordered phases in the high- q case. We argue that the occurrence of a phase transition can be seen as a percolation in the related random cluster representation, similarly to the lattice Potts model, and investigate the typical structure of clusters for high q . We also report on numerical simulations in two dimensions using a continuum version of the Swendsen–Wang algorithm, compare the results with earlier simulations which used the invaded cluster algorithm, and discuss implications on the geometry of clusters in the disordered and ordered phases.