Universal finite-size scaling behavior and universal dynamical scaling behavior of absorbing phase transitions with a conserved field

2003/09/06 by S. Lübeck, S. Lubeck, P. C. Heger · 4 citations
Materials Science · Physics and Astronomy · #Material Dynamics and Properties #Spectroscopy and Quantum Chemical Studies #Theoretical and Computational Physics #cond-mat.stat-mech

paper · pdf · doi:10.1103/physreve.68.056102

published as Physical Review E 68, 056102 (2003) · 12 pages, 14 figures, accepted for publication in Phys. Rev. E

arxiv created 2003/09/06 · openalex publication_date 2003/11/03 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We analyze numerically three different models exhibiting an absorbing phase transition. We focus on the finite-size scaling as well as the dynamical scaling behavior. An accurate determination of several critical exponents allows one to validate certain hyperscaling relations. Using these hyperscaling relations it is possible to express the avalanche exponents of a self-organized critical system in terms of the ordinary exponents of a continuous absorbing phase transition.

Citations

• Non-equilibrium critical phenomena and phase transitions into absorbing states

Cited by

• Tricritical Directed Percolation
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• Universality of continuous phase transitions on random Voronoi graphs
• Absorbing phase transitions in systems with mediated interactions