Phonon Dispersion and the Propagation of Sound in Liquid Helium-4 below 0.6°K
Humphrey J. MarisDepartment of Physics, Brown University, Providence, Rhode Island 02912Walter E. MasseyDepartment of Physics, Brown University, Providence, Rhode Island 02912
1970en
ABI
Abstract
Recent experiments on the attenuation and velocity of sound in liquid ${\mathrm{He}}^{4}$ at low temperatures are discussed in terms of the excitation model of liquid ${\mathrm{He}}^{4}$. By assuming for the long-wavelength excitations the dispersion relation $\ensuremath{\epsilon}(p)=cp[1\ensuremath{-}\ensuremath{\gamma}{p}^{2}\ensuremath{-}\ensuremath{\delta}{p}^{4}\ensuremath{\cdots}]$ with $\ensuremath{\gamma}$ negative, we are able to reconcile previous disagreements between theory and experiment.
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