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Voter model on Sierpinski fractals
Affiliation:Faculty of Physics and Center of Excellence for Complex Systems Research, Warsaw University of Technology, Koszykowa 75, PL-00-662 Warsaw, Poland;Instituto de Física, Universidade Federal Fluminense, Niterói - Rio de Janeiro, Brazil;Instituto de Física, Universidade Federal Fluminense, Niterói - Rio de Janeiro, Brazil
Abstract:We investigate the ordering of voter model on fractal lattices: Sierpinski Carpets and Sierpinski Gasket. We obtain a power-law ordering in all cases, but the dynamics is found to differ significantly for finite and infinite ramification order of investigated fractals.
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