Abstract
For lack of more detailed knowledge concerning the interactions between elementary excitations in liquid helium, Khalatnikov’s theory1 of transport phenomena has described such interactions in terms of δ-function potentials. Recent measurements by Herzlinger and King2 of the diffusion constant of very dilute 3He-4He solutions at temperatures slightly above 1°K call into question the validity of such simple models. It is indicated that the temperature variation of the kinetic coefficients may depend sensitively upon the form of the 3He—roton scattering cross section. We present here, as a first leg of the journey toward obtaining the diffusion coefficient D(T), a microscopic calculation of the effective 3He-roton cross section.
Work supported in part by the National Science Foundation through Grant No. GP-29130 and through the Materials Research Center of Northwestern University.
H. T. Tan and M. Tan are with the Physics Department and the Faculty of Engineering, respectively.
Alfred P. Sloan Research Fellow.
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References
I.M. Khalatnikov and V.N. Zharkov, Soviet Phys.—JETP 5, 905 (1957).
G.A. Herzlinger and J.G. King, Phys. Leu. 40A, 65 (1972).
C.-W. Woo, H.T. Tan, and W.E. Massey, Phys. Rev. 185, 287 (1969).
G.A. Herzlinger, private communications.
C.-W. Woo, this volume.
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© 1974 Springer Science+Business Media New York
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Tan, H.T., Tan, M., Woo, CW. (1974). The 3He-Roton Interaction. In: Timmerhaus, K.D., O’Sullivan, W.J., Hammel, E.F. (eds) Low Temperature Physics-LT 13. Springer, Boston, MA. https://doi.org/10.1007/978-1-4684-7864-8_20
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DOI: https://doi.org/10.1007/978-1-4684-7864-8_20
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