2007/03/08 by Juan A. Bonachela, Miguel A. Muñoz, Miguel A. Munoz · 17 citations
Materials Science · Mathematics · Physics and Astronomy · #Condensed matter physics #Critical exponent #Directed percolation #Geometry #Material Dynamics and Properties #Mathematical physics #Mathematics #Percolation (cognitive psychology) #Percolation critical exponents #Percolation threshold #Phase transition #Physics #Quantum mechanics #Renormalization group #Scaling #Spectroscopy and Quantum Chemical Studies #Statistical physics #Theoretical and Computational Physics #Universality (dynamical systems) #cond-mat.stat-mech
paper · pdf · doi:10.1016/j.physa.2007.04.110
published in Physica A Statistical Mechanics and its Applications 384(1), 89-93 (Elsevier BV) · 7 Pages, 4 Figures
arxiv created 2007/03/08 · openalex publication_date 2007/05/09 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/06
Here we compare critical properties of systems in the directed-percolation (DP) universality class with those of absorbing-state phase transitions occurring in the presence of a non-diffusive conserved field, i.e. transitions in the so-called Manna or C-DP class. Even if it is clearly established that these constitute two different universality classes, most of their universal features (exponents, moment ratios, scaling functions,...) are very similar, making it difficult to discriminate numerically between them. Nevertheless, as illustrated here, the two classes behave in a rather different way upon introducing a physical boundary or wall. Taking advantage of this, we propose a simple and fast method to discriminate between these two universality classes. This is particularly helpful in solving some existing discrepancies in self-organized critical systems as sandpiles.