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Fractal to Euclidean crossover and scaling for random walkers on percolation clusters

dc.contributor.authorArgyrakis, Panosen_US
dc.contributor.authorKopelman, Raoulen_US
dc.date.accessioned2010-05-06T21:44:14Z
dc.date.available2010-05-06T21:44:14Z
dc.date.issued1984-07-15en_US
dc.identifier.citationArgyrakis, P.; Kopelman, R. (1984). "Fractal to Euclidean crossover and scaling for random walkers on percolation clusters." The Journal of Chemical Physics 81(2): 1015-1018. <http://hdl.handle.net/2027.42/70167>en_US
dc.identifier.urihttps://hdl.handle.net/2027.42/70167
dc.description.abstractSimulations of random walkers on two‐dimensional (square lattice) percolation clusters were performed for a range of occupation probabilities from critical to unity. The number of distinct sites visited, over 2×105 steps, shows the conjectured scaling, crossover and superuniversaility (ds=4/3, within 1%) behavior over a wide range of site occupation probabilities. Possible deviations from superuniversality and/or scaling are discussed.en_US
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dc.publisherThe American Institute of Physicsen_US
dc.rights© The American Institute of Physicsen_US
dc.titleFractal to Euclidean crossover and scaling for random walkers on percolation clustersen_US
dc.typeArticleen_US
dc.subject.hlbsecondlevelPhysicsen_US
dc.subject.hlbtoplevelScienceen_US
dc.description.peerreviewedPeer Revieweden_US
dc.contributor.affiliationumDepartment of Chemistry, The University of Michigan, Ann Arbor, Michigan 48109en_US
dc.contributor.affiliationotherDepartment of Physics, University of Crete, Iraklion, Crete, Greeceen_US
dc.description.bitstreamurlhttp://deepblue.lib.umich.edu/bitstream/2027.42/70167/2/JCPSA6-81-2-1015-1.pdf
dc.identifier.doi10.1063/1.447736en_US
dc.identifier.sourceThe Journal of Chemical Physicsen_US
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dc.owningcollnamePhysics, Department of


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