Many-body theory of synchronization by long-range interactions

研究成果: Article査読

11 被引用数 (Scopus)

抄録

Synchronization of coupled oscillators on a d-dimensional lattice with the power-law coupling G(r)=g0/rα and randomly distributed intrinsic frequency is analyzed. A systematic perturbation theory is developed to calculate the order parameter profile and correlation functions in powers of ε=α/d-1. For α≤d, the system exhibits a sharp synchronization transition as described by the conventional mean-field theory. For α>d, the transition is smeared by the quenched disorder, and the macroscopic order parameter ψ̄ decays slowly with g0 as |ψ̄| g02.

本文言語English
論文番号064101
ジャーナルPhysical Review Letters
106
6
DOI
出版ステータスPublished - 2011 2 8

ASJC Scopus subject areas

  • Physics and Astronomy(all)

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