Due to intermittency and conservation, the Abelian sandpile in two dimensions obeys multifractal, rather than finite size scaling. In the thermodynamic limit, a vanishingly small fraction of large avalanches dominates the statistics and a constant gap scaling is recovered in higher moments of the toppling distribution. Thus, rare events shape most of the scaling pattern and preserve a meaning for effective exponents, which can be determined on the basis of numerical and exact results. © 1998 The American Physical Society.
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Titolo: | Rare events and breakdown of simple scaling in the Abelian sandpile model |
Data di pubblicazione: | 1998 |
Autori: | |
Autori: | M., De Menech; Tebaldi, Claudio; A., Stella |
Rivista: | PHYSICAL REVIEW E |
Abstract: | Due to intermittency and conservation, the Abelian sandpile in two dimensions obeys multifractal, rather than finite size scaling. In the thermodynamic limit, a vanishingly small fraction of large avalanches dominates the statistics and a constant gap scaling is recovered in higher moments of the toppling distribution. Thus, rare events shape most of the scaling pattern and preserve a meaning for effective exponents, which can be determined on the basis of numerical and exact results. © 1998 The American Physical Society. |
Codice identificativo Scopus: | 2-s2.0-0000131814 |
Codice identificativo ISI: | WOS:000076011200002 |
Appare nelle tipologie: | 01 - Article in academic journal / Articolo su rivista Scientifica |
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