Power law scaling for a system of interacting units with complex internal structure

Luís A Nunes Amaral; Sergey V. Buldyrev; Shlomo Havlin; Michael A. Salinger; H. Eugene Stanley

doi:10.1103/PhysRevLett.80.1385

Power law scaling for a system of interacting units with complex internal structure

Luís A Nunes Amaral, Sergey V. Buldyrev, Shlomo Havlin, Michael A. Salinger, H. Eugene Stanley

Chemical and Biological Engineering

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188 Scopus citations

Abstract

We study the dynamics of a system composed of interacting units each with a complex internal structure comprising many subunits and treat 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. We test the model and find agreement between our predictions and empirical results based on a large economics database spanning 20 years.

Original language	English (US)
Pages (from-to)	1385-1388
Number of pages	4
Journal	Physical review letters
Volume	80
Issue number	7
DOIs	https://doi.org/10.1103/PhysRevLett.80.1385
State	Published - Feb 16 1998

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Physics and Astronomy(all)

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AU - Salinger, Michael A.

AU - Stanley, H. Eugene

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Power law scaling for a system of interacting units with complex internal structure

Abstract

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