Power law sensitivity to initial conditions for abelian directed self-organized critical models

Pinho, S.T.R.; Andrade, R.F.S.

Power law sensitivity to initial conditions for abelian directed self-organized critical models

S.T.R. Pinho and R.F.S. Andrade

Physica A: Statistical Mechanics and its Applications, 2004, vol. 344, issue 3, 601-607

Abstract: The power law sensitivity to initial conditions is investigated for self-organized critical (SOC) models within the damage spreading framework. A class of two-dimensional abelian directed models are analyzed. Results for the time evolution of the normalized squared euclidian distance indicate that the propagation of a small perturbation (damage) has the same behavior even assuming different parameters of these models. The same technique, applied to a non-abelian complete toppling version of a directed model, leads to a completely different behavior. Results also suggest that there might exist a connection between the multifractal spectra of a potential energy measure and the power law sensitivity to initial conditions for the abelian SOC models, as observed for low-dimensional systems.

Keywords: Damage spreading; Self-organized criticality; Abelian property (search for similar items in EconPapers)
Date: 2004
References: View complete reference list from CitEc
Citations:

Downloads: (external link)
http://www.sciencedirect.com/science/article/pii/S0378437104008039
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:344:y:2004:i:3:p:601-607

DOI: 10.1016/j.physa.2004.06.038

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 ().