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

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

1997-07-31

arxiv.org/abs/cond-mat/9707342v1

Physics

Condensed Matter

Statistical Mechanics

4 pages with 4 postscript figures (uses Revtex 3.1, Latex2e, multicol.sty, epsf.sty and rotate.sty). Submitted to PRL

Scientific paper

10.1103/PhysRevLett.80.1385

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.

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