Multi-avalanche correlations in directed sandpile modelsR. Rajesh
Institute of Mathematical Sciences, CIT Campus - Taramani, Chennai-600113, India
received 15 October 2008; accepted in final form 24 November 2008; published January 2009
published online 7 January 2009
Multiple avalanches, initiated by simultaneously toppling neighbouring sites, are studied in three different directed sandpile models. It is argued that, while the single-avalanche exponents are different for the three models, a suitably defined two-avalanche distribution has identical exponents. The origin of this universality is traced to particle conservation.
05.65.+b - Self-organized systems.
05.70.Ln - Nonequilibrium and irreversible thermodynamics.
47.27.eb - Statistical theories and models.
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