TY - JOUR
T1 - How to discriminate easily between directed-percolation and Manna scaling
AU - Bonachela, Juan A.
AU - Muñoz, Miguel A.
N1 - Funding Information:
We are grateful to D. Dhar, P.K. Mohanty, H. Chaté, F. de los Santos, and I. Dornic for stimulating and illuminating discussions. Financial support from the Spanish MEyC-FEDER, project FIS2005-00791 and from Junta de Andalucía as group FQM-165 is acknowledged.
PY - 2007/10/1
Y1 - 2007/10/1
N2 - 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.
AB - 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.
KW - Critical phenomena
KW - Self-organization
KW - Universality
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U2 - 10.1016/j.physa.2007.04.110
DO - 10.1016/j.physa.2007.04.110
M3 - Article
AN - SCOPUS:34547855847
SN - 0378-4371
VL - 384
SP - 89
EP - 93
JO - Physica A: Statistical Mechanics and its Applications
JF - Physica A: Statistical Mechanics and its Applications
IS - 1
ER -