Knudsen-Hydrodynamic Crossover in Liquid 3He in High Porosity Aerogel

Details Knudsen-Hydrodynamic Crossover in Liquid 3He in High Porosity Aerogel Knudsen-Hydrodynamic Crossover in Liquid 3He in High Porosity Aerogel

2012-01-25

arxiv.org/abs/1201.5259v1

Physics

Condensed Matter

Other Condensed Matter

5 pages, 3 figures

Scientific paper

We present a combined experimental and theoretical study of the drag force acting on a high porosity aerogel immersed in liquid ${}^3$He and its effect on sound propagation. The drag force is characterized by the Knudsen number, which is defined as the ratio of the quasiparticle mean free path to the radius of an aerogel strand. Evidence of the Knudsen-hydrodynamic crossover is clearly demonstrated by a drastic change in the temperature dependence of ultrasound attenuation in 98% porosity aerogel. Our theoretical analysis shows that the frictional sound damping caused by the drag force is governed by distinct laws in the two regimes, providing excellent agreement with the experimental observation.

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