Power Law Scaling for a System of Interacting Units with Complex Internal Structure

Preprint

31 July 1997

preprint
Published by arXiv in arXiv

https://doi.org/10.48550/arXiv.cond-mat/9707342

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

COMPLEX INTERNAL STRUCTURE
SYSTEM OF INTERACTING
DYNAMICS OF A SYSTEM
INTERACTING UNITS
BASE SPANNING
LAW SCALING
INTERACTION
POWER LAW

All Related Versions

Version 1, 1997-07-31, ArXiv
Published version: Physical Review Letters, 80 (7), 1385.

This publication has 0 references indexed in Scilit: