Phase transition and critical behavior in a model of organized criticality
成果类型：
Article
署名作者：
Biskup, M; Blanchard, P; Chayes, L; Gandolfo, D; Krüger, T
署名单位：
University of California System; University of California Los Angeles; University of Bielefeld; Universite de Toulon; Aix-Marseille Universite
刊物名称：
PROBABILITY THEORY AND RELATED FIELDS
ISSN/ISSBN：
0178-8051
DOI：
10.1007/s00440-003-0269-z
发表日期：
2004
页码：
1-41
关键词：
摘要：
We study a model of ''organized'' criticality, where a single avalanche propagates through an a priori static (i.e., organized) sandpile configuration. The latter is chosen according to an i.i.d. distribution from a Borel probability measure rho on [0,1]. The avalanche dynamics is driven by a standard toppling rule, however, we simplify the geometry by placing the problem on a directed, rooted tree. As our main result, we characterize which rho are critical in the sense that they do not admit an infinite avalanche but exhibit a power-law decay of avalanche sizes. Our analysis reveals close connections to directed site-percolation, both in the characterization of criticality and in the values of the critical exponents.
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