Universal Critical Behavior of Noisy Coupled Oscillators

Preprint

17 September 2004

preprint
Published by arXiv in arXiv

https://doi.org/10.48550/arXiv.cond-mat/0409468

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

POINT FAR FROM EQUILIBRIUM
THERMODYNAMIC PROPERTIES
COUPLED OSCILLATORS
UNIVERSAL CRITICAL
RESPONSE FUNCTIONS
CRITICAL BEHAVIOR
CRITICAL POINT
NOISY COUPLED
BIFURCATION

All Related Versions

Version 1, 2004-09-17, ArXiv
Published version: Physical Review Letters, 93 (17), 175702.

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