Temperature Dependence of Viscosity in Normal Fluid ${}^3$He Below 800mK Determined by a Micro-electro-mechanical Oscillator

Abstract

A micro-electro-mechanical system vibrating in its shear mode was used to study the viscosity of normal liquid ${}^3$He from 20mK to 770mK at 3bar, 21bar, and 29bar. The damping coefficient of the oscillator was determined by frequency sweeps through its resonance at each temperature. Using a slide film damping model, the viscosity of the fluid was obtained. Our viscosity values are compared with previous measurements and with calculated values from Fermi liquid theory. The crossover from the classical to the Fermi liquid regime is manifest in the temperature dependence of viscosity. In the Fermi liquid regime, the temperature dependence of viscosity changes from $T^{-1}$ to $T^{-2}$ on cooling, indicating a transition from the Stokes flow to the Couette flow regime.

arXiv commentThe following article has been submitted for publication to Physical Review B

References in corpus (6)

• Quartz Tuning Fork: Thermometer, Pressure- and Viscometer for Helium Liquids
• Crystalline order in superfluid 3He films
• Superfluid nanomechanical resonator for quantum nanofluidics
• Flow Conductance of a Single Nanohole
• Quantum transport in mesoscopic ${}^3$He films: experimental study of the interference of bulk and boundary scattering
• Knudsen-to-Hydrodynamic Crossover in Liquid 3He in a High-Porosity Aerogel

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• Damping of a micro-electromechanical oscillator in turbulent superfluid ${}^4$He: A novel probe of quantized vorticity in the ultra-low temperature regime
• Dynamics of pinned quantized vortices in superfluid ${}^4$He in a microelectromechanical oscillator
• Fermi liquid theory applied to a film on an oscillating substrate
• Dispersion of first sound in a weakly interacting ultracold Fermi liquid
• Superfluid ${}^3$He-B Surface States in a Confined Geometry Probed by a Microelectromechanical Oscillator