Self-Organized Criticality and Thermodynamic Formalism View Full Text


Ontology type: schema:ScholarlyArticle      Open Access: True


Article Info

DATE

2004-06

AUTHORS

B. Cessac, Ph. Blanchard, T. Krüger, J. L. Meunier

ABSTRACT

We develop a thermodynamic formalism for a dissipative version of the Zhang model of Self-Organized Criticality, where a parameter allows us to tune the local energy dissipation. By constructing a suitable Markov partition we define Gibbs measures (in the sense of Sinai, Ruelle, and Bowen), partition functions, and topological pressure allowing the analysis of probability distributions of avalanches. We discuss the infinite-size limit in this setting. In particular, we show that a Lee–Yang phenomenon occurs in the conservative case. This suggests new connections to classical critical phenomena. More... »

PAGES

1283-1326

Identifiers

URI

http://scigraph.springernature.com/pub.10.1023/b:joss.0000028057.16662.89

DOI

http://dx.doi.org/10.1023/b:joss.0000028057.16662.89

DIMENSIONS

https://app.dimensions.ai/details/publication/pub.1003191836


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