Universal Critical Behavior of Noisy Coupled Oscillators

Details Universal Critical Behavior of Noisy Coupled Oscillators Universal Critical Behavior of Noisy Coupled Oscillators

2004-09-17

arxiv.org/abs/cond-mat/0409468v1

Phys. Rev. Lett. 93 (17), 175702 (2004)

Physics

Condensed Matter

Statistical Mechanics

10 pages, 1 figure

Scientific paper

10.1103/PhysRevLett.93.175702

We study the universal thermodynamic properties of systems consisting of many coupled oscillators operating in the vicinity of a homogeneous oscillating instability. In the thermodynamic limit, the Hopf bifurcation is a dynamic critical point far from equilibrium described by a statistical field theory. We perform a perturbative renormalization group study, and show that at the critical point a generic relation between correlation and response functions appears. At the same time the fluctuation-dissipation relation is strongly violated.

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