Scaling behavior of the directed percolation universality class |
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| Affiliation: | 1. FORTH/IESL & Dept. of Mat. Sci. & Tech., University of Crete, 71110 Heraklion, Greece;2. SUPA, School of Physics and Astronomy, The University of Edinburgh, Edinburgh EH9 3JZ, UK;3. Div. of Chem. and Chem. Eng., California Institute of Technology, Pasadena, CA 91125, USA;1. Instituto de Ciencias Matemáticas CSIC-UAM-UC3M-UCM, Calle Nicolás Cabrera 13-15, Campus de Cantoblanco UAM, 28049-Madrid, Spain;2. Department of Applied Mathematics, School of Mathematics, University of Leeds, Leeds LS2 9JT, United Kingdom |
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| Abstract: | In this work we consider five different lattice models which exhibit continuous phase transitions into absorbing states. By measuring certain universal functions, which characterize the steady state as well as the dynamical scaling behavior, we present clear numerical evidence that all models belong to the universality class of directed percolation. Since the considered models are characterized by different interaction details the obtained universal scaling plots are an impressive manifestation of the universality of directed percolation. |
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