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Fractal dimensions of the

dc.contributor.authorAdams, David A.en_US
dc.contributor.authorSander, Leonard M.en_US
dc.contributor.authorZiff, Robert M.en_US
dc.date.accessioned2011-08-10T13:53:31Z
dc.date.available2011-08-10T13:53:31Z
dc.date.issued2010-03en_US
dc.identifier.citationAdams, David A.; Sander, Leonard M.; Ziff, Robert M. (2010). "Fractal dimensions of the." Journal of Statistical Mechanics: Theory and Experiment, 2010(03): P03004. <http://hdl.handle.net/2027.42/85425>en_US
dc.identifier.issn1742-5468en_US
dc.identifier.urihttps://hdl.handle.net/2027.42/85425
dc.description.abstractFortuin–Kastelyn clusters in the critical Q-state Potts model are conformally invariant fractals. We obtain simulation results for the fractal dimension of the complete and external (accessible) hulls for Q = 1, 2, 3, and 4, on clusters that wrap around a cylindrical system. We find excellent agreement between these results and theoretical predictions. We also obtain the probability distributions of the hull lengths and maximal heights of the clusters in this geometry and provide a conjecture for their form.en_US
dc.titleFractal dimensions of theen_US
dc.typeArticleen_US
dc.subject.hlbsecondlevelPhysicsen_US
dc.subject.hlbtoplevelScienceen_US
dc.description.peerreviewedPeer Revieweden_US
dc.description.bitstreamurlhttp://deepblue.lib.umich.edu/bitstream/2027.42/85425/1/jstat10_03_p03004.pdf
dc.identifier.doi10.1088/1742-5468/2010/03/P03004en_US
dc.identifier.sourceJournal of Statistical Mechanics: Theory and Experimenten_US
dc.owningcollnamePhysics, Department of


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