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Transport properties for a dilute solution of [sup 3]He in two-dimensional liquid [sup 4]He

Journal Article · · Journal of Low Temperature Physics; (United States)
DOI:https://doi.org/10.1007/BF00751788· OSTI ID:7021908
; ;  [1];  [2]
  1. Korea Univ., Seoul (Korea, Democratic People's Republic of)
  2. Washington State Univ., Pullman, WA (United States)
The temperature variations of the diffusion coefficient D(T), thermal diffusion ratio k[sub T](T) and thermal conductivity k(T) in a dilute solution of [sup 3]He atoms in two-dimensional liquid helium are evaluated explicitly by solving the kinetic equations via phonon-phonon, phonon-roton, roton-roton, impurity-elementary excitation and impurity-impurity scatterings. In the low-temperature region, the main contributions to D(T) and k(T) come from the interactions between phonons and impurities, while in the high-temperature region the interactions between impurities and whole elementary excitations contribute more strongly to D(T) and k(T) than those of only elementary excitations. For a dilute solution, the thermal diffusion ratio k[sub T](T), neglecting the internal mass counterflow, is much smaller than the effective thermal diffusion ratio k[sub T](T), which is a function of thermostatic properties. The effective thermal conductivity k[sub eff] is much larger than the thermal conductivity. The behaviors of the two-dimensional diffusion coefficient and thermal conductivity are much like the bulk case, where they exhibit exponential decay with increasing temperature, although they are much smaller than those of the bulk case.
OSTI ID:
7021908
Journal Information:
Journal of Low Temperature Physics; (United States), Journal Name: Journal of Low Temperature Physics; (United States) Vol. 95:3-4; ISSN JLTPAC; ISSN 0022-2291
Country of Publication:
United States
Language:
English