A new ripplon branch in He II
I.V. Tanatarov, I.N. Adamenko, K.E. Nemchenko, A.F.G. Wyatt
TL;DR
This paper introduces a new ripplon branch on superfluid helium's surface, derived analytically and numerically, expanding understanding of surface excitations in quantum fluids.
Contribution
It presents the discovery and analytical characterization of a previously unknown ripplon branch on superfluid helium surface.
Findings
Analytical dispersion relation for the new ripplon branch
Numerical solutions confirming the branch's existence
Identification of the energy region just below instability point
Abstract
We analyse the dispersion relation of ripplons, on the surface of superfluid helium, using the dispersive hydrodynamics approach and find a new ripplon branch. We obtain analytical equation for the dispersion relation and analytic expressions for the limiting cases. We discuss where ripplons can exist in the energy-wavenumber plane. A numerical solution for the ripplon dispersion curve is obtained in the allowed regions. The new ripplon branch is found at energies just below the instability point.
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