Self-organized criticality and thermodynamic formalism
Cessac B, Blanchard P, Krüger T, Meunier JL (2004)
JOURNAL OF STATISTICAL PHYSICS 115(5/6): 1283-1326.
Download
No fulltext has been uploaded. References only!
Journal Article
| Original Article
| Published
| English
No fulltext has been uploaded
Author
Department
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.
Keywords
Publishing Year
ISSN
PUB-ID
Cite this
Cessac B, Blanchard P, Krüger T, Meunier JL. Self-organized criticality and thermodynamic formalism. JOURNAL OF STATISTICAL PHYSICS. 2004;115(5/6):1283-1326.
Cessac, B., Blanchard, P., Krüger, T., & Meunier, J. L. (2004). Self-organized criticality and thermodynamic formalism. JOURNAL OF STATISTICAL PHYSICS, 115(5/6), 1283-1326. doi:10.1023/B:JOSS.0000028057.16662.89
Cessac, B., Blanchard, P., Krüger, T., and Meunier, J. L. (2004). Self-organized criticality and thermodynamic formalism. JOURNAL OF STATISTICAL PHYSICS 115, 1283-1326.
Cessac, B., et al., 2004. Self-organized criticality and thermodynamic formalism. JOURNAL OF STATISTICAL PHYSICS, 115(5/6), p 1283-1326.
B. Cessac, et al., “Self-organized criticality and thermodynamic formalism”, JOURNAL OF STATISTICAL PHYSICS, vol. 115, 2004, pp. 1283-1326.
Cessac, B., Blanchard, P., Krüger, T., Meunier, J.L.: Self-organized criticality and thermodynamic formalism. JOURNAL OF STATISTICAL PHYSICS. 115, 1283-1326 (2004).
Cessac, B, Blanchard, Philippe, Krüger, Tyll, and Meunier, JL. “Self-organized criticality and thermodynamic formalism”. JOURNAL OF STATISTICAL PHYSICS 115.5/6 (2004): 1283-1326.
This data publication is cited in the following publications:
This publication cites the following data publications:
Google Scholar