6533b7dafe1ef96bd126ea12

RESEARCH PRODUCT

On the existence of higher waves in a layer of superfluid helium

R. P. Wehrum

subject

PhysicsNuclear and High Energy PhysicsWave propagationDispersion relationQuantum mechanicsSecond soundGroup velocityWavenumberMechanicsPhase velocityDispersion (water waves)Superfluid helium-4

description

The two implicit equations that contain the dispersion laws of waves propagating in a He II layer of variable thickness are formally investigated for solutions that go beyond those associated with the layer modifications of first and second sound: A series of symmetric and antisymmetric layer modes are found to exist by calculating the distribution of roots of the dispersion equations in the complex wave number plane as a function of layer thickness and angular frequency. All these modes turn out to be strongly attenuated and can be regarded as layer modifications of the viscous wave. Phase velocities, attenuation coefficients, and velocity profiles of some of them are calculated numerically.

https://doi.org/10.1007/bf01398859