Many-body theory of synchronization by long-range interactions

Research output: Contribution to journalArticlepeer-review

11 Citations (Scopus)

Abstract

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.

Original languageEnglish
Article number064101
JournalPhysical Review Letters
Volume106
Issue number6
DOIs
Publication statusPublished - 2011 Feb 8

ASJC Scopus subject areas

  • Physics and Astronomy(all)

Fingerprint Dive into the research topics of 'Many-body theory of synchronization by long-range interactions'. Together they form a unique fingerprint.

Cite this