**Физика Низких Температур: ***Том ***23**, Выпуск **5-6** (Май 1997), c. 564-573
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### Jizhong Finite temperature effects in the Fermi liquid theory of the diffusion of ^{4}He in ^{3}He

**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 )*

**Аннотация**

The diffusion coefficient *D* and the thermal diffusion ratio *k*_{T}, for dilute ^{4}He in liquid ^{3}He, are calculated from Fermi liquid theory. The collision integral assumes a scattering amplitude *a*^{34} expanded in scalar combinations of the quasiparticle momenta. As *T* -> 0, *D* varies as 1/T and *k*_{T}/c, where *c* is the concentration, approaches a constant. As shown previously, the limits for *DT* and *k*_{T}/c are determined by thermodynamic properties, the ^{4}He effective mass and partial volume, and properties of pure ^{3}He. We have decreased *k*_{T}/c by a few percent, by including the effect of *simbol T* on the ^{3}He distribution function. The temperature dependence of *DT* and *k*_{T}/c is linear and related to the coefficients in the expansion of *a*^{34}. Two coefficients can be found from thermodynamics. A conjecture about the remainder suggests that *DT* may have a maximum between 0 and 0.5K.

**PACS:**

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