title: Universal critical behavior of noisy coupled oscillators.
abstract: 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.
authors.affiliation: Max-Planck-Institut für Physik komplexer Systeme, Nöthnitzerstrasse 38, 01187 Dresden, Germany.
authors.forename: Thomas
authors.initials: T
authors.lastname: Risler
authors.forename: Jacques
authors.initials: J
authors.lastname: Prost
authors.forename: Frank
authors.initials: F
authors.lastname: Jülicher