Scaling behavior of the directed percolation universality class

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...

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Veröffentlicht in:arXiv.org 2005-06
Hauptverfasser: Lubeck, S, Willmann, R D
Format: Artikel
Sprache:eng
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Zusammenfassung: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.
ISSN:2331-8422
DOI:10.48550/arxiv.0505219