Universal Critical Behavior of Noisy Coupled Oscillators
Statistical Mechanics
2011-09-22 v1 Biological Physics
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.
Keywords
Cite
@article{arxiv.cond-mat/0409468,
title = {Universal Critical Behavior of Noisy Coupled Oscillators},
author = {Thomas Risler and Jacques Prost and Frank Julicher},
journal= {arXiv preprint arXiv:cond-mat/0409468},
year = {2011}
}
Comments
10 pages, 1 figure