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The continuum Potts model at the disorder-order transition: a study by cluster dynamics
journal contribution
posted on 2017-02-13, 16:06 authored by Hans-Otto Georgii, Jozsef Lorinczi, Jani LukkarinenWe 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.
Funding
J. Lukkarinen wishes to acknowledge support from the Deutsche Forschungsgemeinschaft (DFG) project SP 181/19-1.
History
School
- Science
Department
- Mathematical Sciences
Published in
JOURNAL OF STATISTICAL MECHANICS-THEORY AND EXPERIMENTCitation
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.Publisher
© IOPVersion
- VoR (Version of Record)
Publisher statement
This work is made available according to the conditions of the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International (CC BY-NC-ND 4.0) licence. Full details of this licence are available at: https://creativecommons.org/licenses/by-nc-nd/4.0/Publication date
2005Notes
Closed access.ISSN
1742-5468Publisher version
Language
- en