Linking fluctuation and dissipation in spatially extended out-of-equilibrium systems

Abstract

For systems in equilibrium at a temperature $T$, thermal noise and energy damping are related to $T$ through the fluctuation-dissipation theorem (FDT). We study here an extension of the FDT to an out of equilibrium steady state: a microcantilever subject to a constant heat flux. The resulting thermal profile in this spatially extended system interplays with the local energy dissipation field to prescribe the amplitude of mechanical fluctuations. Using three samples with different damping profiles (localized or distributed), we probe this approach and experimentally demonstrate the link between fluctuations and dissipation. The thermal noise can therefore be predicted a priori from the measurement of the dissipation as a function of the maximum temperature of the micro-oscillator.

References in corpus (5)

• Effective temperatures of hot Brownian motion
• Frequency dependence of viscous and viscoelastic dissipation in coated micro-cantilevers from noise measurement
• Resonance frequency shift of strongly heated micro-cantilevers
• Probing thermal waves on the free surface of various media: Surface Fluctuation Specular Reflection Spectroscopy
• Thermal noise of a cryo-cooled silicon cantilever locally heated up to its melting point

Cited by in corpus (1)

• Temperature mediated back-action in micro- and nanomechanical resonators