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Title: The continuum Potts model at the disorder-order transition: a study by cluster dynamics
Authors: Georgii, Hans-Otto
Lorinczi, Jozsef
Lukkarinen, Jani
Keywords: Rigorous results in statistical mechanics
Classical Monte Carlo simulations
Classical phase transitions (theory)
Percolation problems (theory)
Issue Date: 2005
Publisher: © IOP
Citation: GEORGII, H., LORINCZI, J. and LUKKARINEN, J., 2005. The continuum Potts model at the disorder-order transition: a study by cluster dynamics. Journal of Statistical Mechanics: Theory and Experiment, DOI: 10.1088/1742-5468/2005/06/P06011.
Abstract: 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.
Description: Closed access.
Sponsor: J. Lukkarinen wishes to acknowledge support from the Deutsche Forschungsgemeinschaft (DFG) project SP 181/19-1.
Version: Published
DOI: 10.1088/1742-5468/2005/06/P06011
URI: https://dspace.lboro.ac.uk/2134/24099
Publisher Link: http://dx.doi.org/10.1088/1742-5468/2005/06/P06011
ISSN: 1742-5468
Appears in Collections:Closed Access (Maths)

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