Kinetic theory of coupled oscillators

被引：47

作者：

Hildebrand, Eric J. ^{[1
]}

Buice, Michael A.

Chow, Carson C.

机构：

[1] Univ Pittsburgh, Dept Phys & Astron, Pittsburgh, PA 15260 USA

[2] NIDDK, Lab Biol Modeling, NIH, Bethesda, MD USA

来源：

PHYSICAL REVIEW LETTERS | 2007年 / 98卷 / 05期

关键词：

D O I：

10.1103/PhysRevLett.98.054101

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We present an approach for the description of fluctuations that are due to finite system size induced correlations in the Kuramoto model of coupled oscillators. We construct a hierarchy for the moments of the density of oscillators that is analogous to the Bogoliubov-Bom-Green-Mrkwood-Yvon hierarchy in the kinetic theory of plasmas and gases. To calculate the lowest order system size effect, we truncate this hierarchy at second order and solve the resulting closed equations for the two-oscillator correlation function around the incoherent state. We use this correlation function to compute the fluctuations of the order parameter, including the effect of transients, and compare this computation with numerical simulations.

引用

页数：4

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