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

被引:186
作者
Amaral, LAN [1 ]
Buldyrev, SV
Havlin, S
Salinger, MA
Stanley, HE
机构
[1] MIT, Dept Phys, Cambridge, MA 02139 USA
[2] Boston Univ, Ctr Polymer Studies, Boston, MA 02215 USA
[3] Boston Univ, Dept Phys, Boston, MA 02215 USA
[4] Bar Ilan Univ, Minerva Ctr, Ramat Gan, Israel
[5] Bar Ilan Univ, Dept Phys, Ramat Gan, Israel
[6] Boston Univ, Sch Management, Dept Finance & Econ, Boston, MA 02215 USA
关键词
D O I
10.1103/PhysRevLett.80.1385
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
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.
引用
收藏
页码:1385 / 1388
页数:4
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