2004/03/31 by A. Benyoussef, M. Khfifi, M. Loulidi
Earth and Planetary Sciences · Engineering · Physics and Astronomy · #Geological formations and processes #Hydrocarbon exploration and reservoir analysis #Theoretical and Computational Physics #cond-mat.stat-mech
paper · pdf · doi:10.1140/epjb/e2005-00044-4
published as Eur. Phys. J. B43 (2005) 213-220 · 13 pages, 10 figures, Published in European Physical Journal B
openalex publication_date 2005/01/01 · arxiv created 2005/05/02 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
The effect of bulk dissipation on non critical sandpile models is studied using both multifractal and finite size scaling analyses. We show numerically that the local limited (LL) model exhibits a crossover from multifractal to self-similar behavior as the control parameters hext and ε turn towards their critical values, i.e. hext → 0+ and ε→ εc. The critical exponents are not universal and exhibit a continuous variation with ε. On the other hand, the finite size effects for the local unlimited (LU), non local limited (NLL), and non local unlimited (NLU) models are well described by the multifractal analysis for all values of dissipation rate ε. The space-time avalanche structure is studied in order to give a deeper understanding of the finite size effects and the origin of the crossover behavior. This result is confirmed by the calculation of the susceptibility.