CMT136
Theory of Heat Transport of Normal Liquid 3He in Aerogel
- Author(s):
J. A. Sauls and Priya Sharma
- Address: Department of Physics & Astronomy, Northwestern University, Evanston, IL 60208
- Date: March 8, 2010
- Journal:
New Journal of Physics, 2, 083056 (2010)
[DOI]
[PDF]
- Abstract:
The introduction of liquid 3He into silica aerogel provides us a with model
system in which to study
the effects of disorder on the properties of a strongly correlated Fermi liquid. The transport of
heat, mass and spin exhibits cross-over behavior from a high temperature regime, where inelastic
scattering dominates, to a low temperature regime dominated by elastic scattering off the aerogel.
We report exact and approximate solutions to the Boltzmann-Landau transport equation for the thermal
conductivity of liquid 3He, including elastic scattering of quasiparticles by the aerogel
and inelastic quasiparticle collisions. These results provide quantitative predictions for the
transport properties of liquid 3He in aerogel over a wide range of pressure, temperature
and aerogel density. In particular,
we obtain a scaling function, F(T/T*), for the normalized thermal conductivity,
K/Kel, in terms of a reduced temperature, T/T*, where
T* is a cross-over temperature defined by the elastic and inelastic
collision rates. Theoretical results are compared with the available experimental data for the
thermal conductivity.
- Comment:
- Eprint:
[PDF]
[arXiv]
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