An entropical characterization for complex systems becoming out of control

Marcos E. Gaudiano

Physica A: Statistical Mechanics and its Applications, 2015, vol. 440, issue C, 185-199

Abstract: General properties of N-dimensional multi-component or many-particle systems exhibiting self-similar hierarchical structure are presented. The entire system is partitioned into cells, which have an associated generalized entropy S(D) that is shown to be a universal function of the fractal dimension D of the configurations, exhibiting self-similarity properties which are independent of the dimensionality N. This provides a general way to classify the components of the system according to entropical reasons, independently of the observer’s criteria. For certain complex systems, the normalized S(D) may also be associated with the large time stationary profile of the fractal density distribution in the absence of external fields (or control).

Keywords: Fractal; Entropy; Complex systems; Structures and organization (search for similar items in EconPapers)
Date: 2015
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (2)

Downloads: (external link)
http://www.sciencedirect.com/science/article/pii/S0378437115006780
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:440:y:2015:i:c:p:185-199

DOI: 10.1016/j.physa.2015.08.023

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 ().