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

Research output: Contribution to journal › Article › peer-review

184 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

ASJC Scopus subject areas

Physics and Astronomy(all)

Access to Document

10.1103/PhysRevLett.80.1385

Cite this

@article{c3bf3f2157c04a56abe93697962f42ad,

title = "Power law scaling for a system of interacting units with complex internal structure",

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.",

author = "Amaral, {Lu{\'i}s A Nunes} and Buldyrev, {Sergey V.} and Shlomo Havlin and Salinger, {Michael A.} and Stanley, {H. Eugene}",

year = "1998",

month = feb,

day = "16",

doi = "10.1103/PhysRevLett.80.1385",

language = "English (US)",

volume = "80",

pages = "1385--1388",

journal = "Physical Review Letters",

issn = "0031-9007",

publisher = "American Physical Society",

number = "7",

}

TY - JOUR

T1 - Power law scaling for a system of interacting units with complex internal structure

AU - Amaral, Luís A Nunes

AU - Buldyrev, Sergey V.

AU - Havlin, Shlomo

AU - Salinger, Michael A.

AU - Stanley, H. Eugene

PY - 1998/2/16

Y1 - 1998/2/16

N2 - 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.

AB - 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.

UR - http://www.scopus.com/inward/record.url?scp=0000405905&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0000405905&partnerID=8YFLogxK

U2 - 10.1103/PhysRevLett.80.1385

DO - 10.1103/PhysRevLett.80.1385

M3 - Article

AN - SCOPUS:0000405905

VL - 80

SP - 1385

EP - 1388

JO - Physical Review Letters

JF - Physical Review Letters

SN - 0031-9007

IS - 7

ER -

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

Abstract

ASJC Scopus subject areas

Access to Document

Other files and links

Fingerprint

Cite this