Viscoelastic Behavior of Solid ${}^4$He

Abstract

Over the last five years several experimental groups have reported anomalies in the temperature dependence of the period and amplitude of a torsional oscillator containing solid ${}^4$He. We model these experiments by assuming that ${}^4$He is a viscoelastic solid--a solid with frequency dependent internal friction. We find that while our model can provide a quantitative account of the dissipation observed in the torsional oscillator experiments, it only accounts for about 10% of the observed period shift, leaving open the possibility that the remaining period shift is due to the onset of superfluidity in the sample.

4 pages, 3 figures

References in corpus (11)

• Low Temperature Shear Modulus Changes in Solid 4-He and Connection to Supersolidity
• Disorder and the Supersolid State of Solid ${}^4$He
• Oscillation Frequency Dependence of Non-Classical Rotation Inertia of Solid ${}^4$He
• What makes a crystal supersolid ?
• Pressure-driven flow of solid helium
• Observation of non-classical rotational inertia in bulk solid 4He
• Supersolid Helium at High Pressure
• Nonclassical Rotational Inertia in Single Crystal Helium
• On the origin of the decrease in the torsional oscillator period of solid He4
• The effect of 3He impurities on the nonclassical response to oscillation of solid 4He
• Vortex Fluid State below an Onset Temperature T_0 of Solid 4He

Cited by in corpus (15)

• Supersolids: what and where are they ?
• Evidence for a Superglass State in Solid 4He
• Absence of Pressure-Driven Supersolid Flow at Low Frequency
• The glassy response of solid He-4 to torsional oscillations
• A glass anomaly in the shear modulus of solid ${}^4$He
• Dislocation induced anomalous softening of solid helium
• Effects of ${}^3$He Impurity on Solid ${}^4$He Studied by Compound Torsional Oscillator
• Leggett's bound for amorphous solids
• The low temperature elastic anomalies in solid helium
• Non-Classical Response from Quench-Cooled Solid Helium Confined in Porous Gold
• NMR Investigation of the Low Temperature Dynamics of solid 4He doped with 3He impurities
• The glassy response of double torsion oscillators in solid Helium-4
• Shear modulus in viscoelastic solid ${}^4$He
• A tentative replica theory of glassy Helium 4
• Influence of Ortho-H2 Clusters on the Mechanical Properties of Solid Para-H2