Theoretical studies of self-organized criticality

L. Pietronero, P. Tartaglia and Y.-C. Zhang

Physica A: Statistical Mechanics and its Applications, 1991, vol. 173, issue 1, 22-44

Abstract: We study various aspects of the self-organized critical phenomena. A continuous-energy model is analyzed using a self-consistent effective medium method. We find that energy is homogeneously and isotropically distributed in space. We have calculated analytically the critical energy, which is very close to that of numerical simulations. We found that the critical energy is quite universal whereas the energy distribution per site depends on particular models. Using scaling arguments we have estimated the various exponents. We have also performed a detailed study of the noise spectrum. The result shows a 1/f2 behavior in the frequency region that we have probed.

Date: 1991
References: View complete reference list from CitEc
Citations:

Downloads: (external link)
http://www.sciencedirect.com/science/article/pii/037843719190248B
Full text for ScienceDirect subscribers only. Journal offers the option of making the article available online on Science direct for a fee of $3,000

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:173:y:1991:i:1:p:22-44

DOI: 10.1016/0378-4371(91)90248-B

Access Statistics for this article

Physica A: Statistical Mechanics and its Applications is currently edited by K. A. Dawson, J. O. Indekeu, H.E. Stanley and C. Tsallis

More articles in Physica A: Statistical Mechanics and its Applications from Elsevier
Bibliographic data for series maintained by Catherine Liu ().