Boundary effects on sound propagation in superfluids
Tóm tắt
The attenuation of fourth sound propagating in a superfluid confined within a channel is determined on a microscopic basis, taking into account the scattering of the quasiparticles from the walls. TheQ value of a fourth-sound resonance is shown to be inversely proportional to the stationary flow of thermal excitations through the channel due to an external force. Our theoretical estimates ofQ are compared with experimentally observed values for3He. The transition between first and fourth sound is studied in detail on the basis of two-fluid hydrodynamics, including the slip of the normal component at the walls. The slip is shown to have a strong influence on the velocity and attenuation in the transition region between first and fourth sound, offering a means to examine the interaction of quasiparticles with a solid surface.
Tài liệu tham khảo
H. Højgaard Jensen, H. Smith, P. Wölfle, K. Nagai, and T. M. Bisgaard,J. Low Temp. Phys. 41, 473 (1980).
K. Nagai and P. Wölfle,J. Low Temp. Phys. 42, 227 (1981).
G. Eska, K. Neumaier, W. Schoepe, K. Uhlig, W. Wiedemann, and P. Wölfle,Phys. Rev. Lett. 44, 1337 (1980).
T. Kodama and H. Kojima,Phys. Lett. A 87, 103 (1981).
J. P. Eisenstein, G. W. Swift, and R. E. Packard,Phys. Rev. Lett. 45, 1199 (1980).
D. Einzel, H. Højgaard Jensen, H. Smith, and P. Wölfle, to be published.
P. Wölfle,J. Low Temp. Phys. 26, 659 (1977).
H. Højgaard Jensen, H. Smith, and P. Wölfle, unpublished.
F. Topsøe and H. Højgaard Jensen, to be published.
M. J. Rice,Phys. Rev. 165, 288 (1968).
A. W. Yanof and J. D. Reppy,Phys. Rev. Lett. 33, 631 (1974).
T. Chainer, Y. Morii, and H. Kojima,Phys. Rev. B 21, 3941 (1980).
G. Eska, K. Neumaier, K. Uhlig, W. Wiedemann, W. Schoepe, and P. Wölfle,Physica 108B, 1153 (1981).
W. Smoluchowski,Ann. Phys. 33, 1559 (1910); see also E. H. Kennard,Kinetic Theory of Gases (McGraw-Hill, New York, 1938).