Ci. Um et Cw. Jun, THICKNESS OF THE THERMAL-BOUNDARY SHOCK-WAVE IN THIN AND BULK LIQUID-HE-4 NEAR ABSOLUTE-ZERO TEMPERATURE, Journal of the Korean Physical Society, 29(6), 1996, pp. 814-817
Solving the two fluid hydrodynamic equations including dissipation coe
fficients, the thickness delta(T) of the thermal boundary shock wave i
n thin and bulk liquid He-4 is evaluated explicitly as a function of t
emperature via temperature-dependent elementary excitation spectra in
the long-wavelength limit and at very low temperatures. The thickness
delta(T) in typo and three dimensions does not depend explicitly on an
y one of the four second viscosities but only on the thermal conductiv
ity kappa(T) and the first viscosity eta(T). At very low temperatures,
delta(T) in the thin and the bulk cases has T--6.5 and T-7 dependence
s, respectively, which originate from three-phonon processes for both
excitation spectra.