Физика Низких Температур: Том 23, Выпуск 5-6 (Май 1997), c. 564-573    ( к оглавлению , назад )

Jizhong Finite temperature effects in the Fermi liquid theory of the diffusion of 4He in 3He

H. H. Hjort, T. G. Culman, D. O. Edwards, and Jizhong He

Physics Department, The Ohio State University, Columbus, Ohio, U.S.A. 43210

( Submitted October 24, 1996 )


The diffusion coefficient D and the thermal diffusion ratio kT, for dilute 4He in liquid 3He, are calculated from Fermi liquid theory. The collision integral assumes a scattering amplitude a34 expanded in scalar combinations of the quasiparticle momenta. As T -> 0, D varies as 1/T and kT/c, where c is the concentration, approaches a constant. As shown previously, the limits for DT and kT/c are determined by thermodynamic properties, the 4He effective mass and partial volume, and properties of pure 3He. We have decreased kT/c by a few percent, by including the effect of simbol T on the 3He distribution function. The temperature dependence of DT and kT/c is linear and related to the coefficients in the expansion of a34. Two coefficients can be found from thermodynamics. A conjecture about the remainder suggests that DT may have a maximum between 0 and 0.5K.

67.60.Dm - HeI�3He
51.10.+y - Kinetic and transport theory of gases (see also 05.20.Dd Kinetic theory in classical statistical mechanics)
67.55.Lf - Impurities
67.55.Hc - Transport properties