Power law scaling for a system of interacting units with complex internal structure
Nunes Amaral, Luís A.
Buldyrev, Sergey V.
Salinger, Michael A.
Stanley, H. Eugene
MetadataShow full item record
First author draft
Citation (published version)Luís A. Nunes Amaral, Sergey V. Buldyrev, Shlomo Havlin, Michael A. Salinger, H. Eugene Stanley. 1998. "Power law scaling for a system of interacting units with complex internal structure." PHYSICAL REVIEW LETTERS, Volume 80, Issue 7, pp. 1385 - 1388. https://doi.org/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 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.
Rights©1998 American Physical Society.