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, and H. Eugene Stanley
Phys. Rev. Lett. 80, 1385 – Published 16 February 1998
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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.

  • Received 28 July 1997

DOI:https://doi.org/10.1103/PhysRevLett.80.1385

©1998 American Physical Society

Authors & Affiliations

Luís A. Nunes Amaral1,2, Sergey V. Buldyrev2, Shlomo Havlin2,3, Michael A. Salinger4, and H. Eugene Stanley2

  • 1Department of Physics, Massachusetts Institute of Technology, Cambridge, Massachusetts 02139
  • 2Center for Polymer Studies and Department of Physics, Boston University, Boston, Massachusetts 02215
  • 3Minerva Center and Department of Physics, Bar-Ilan University, Ramat Gan, Israel
  • 4Department of Finance and Economics, School of Management, Boston University, Boston, Massachusetts 02215

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Vol. 80, Iss. 7 — 16 February 1998

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