TY - JOUR
T1 - Many-body theory of synchronization by long-range interactions
AU - Uchida, Nariya
PY - 2011/2/8
Y1 - 2011/2/8
N2 - 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.
AB - 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.
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U2 - 10.1103/PhysRevLett.106.064101
DO - 10.1103/PhysRevLett.106.064101
M3 - Article
AN - SCOPUS:79751503151
VL - 106
JO - Physical Review Letters
JF - Physical Review Letters
SN - 0031-9007
IS - 6
M1 - 064101
ER -