Power Law Scaling for a System of Interacting Units with Complex Internal Structure
Statistical Mechanics
2009-10-30 v1 adap-org
Adaptation and Self-Organizing Systems
Abstract
We study the dynamics of a system composed of interacting units each with a complex internal structure comprising many subunits. We consider the case in which each subunit grows in a multiplicative manner. We propose a model for such systems in which the interaction among the units is treated in a mean field approximation and the interaction among subunits is nonlinear. To test the model, we identify a large data base spanning 20 years, and find that the model correctly predicts a variety of empirical results.
Keywords
Cite
@article{arxiv.cond-mat/9707342,
title = {Power Law Scaling for a System of Interacting Units with Complex Internal Structure},
author = {L. A. N. Amaral and S. V. Buldyrev and S. Havlin and M. A. Salinger and H. E. Stanley},
journal= {arXiv preprint arXiv:cond-mat/9707342},
year = {2009}
}
Comments
4 pages with 4 postscript figures (uses Revtex 3.1, Latex2e, multicol.sty, epsf.sty and rotate.sty). Submitted to PRL