The Heat Capacity of 3He-B in Silica Aerogel
Abstract
The thermodynamic potential for superfluid 3He-B embedded in a homogeneously distributed random potential is calculated from a quasiclassical reduction of the Luttinger-Ward functional to leading order in k B Tc/Ef. The resulting functional provides an extension of the Ginzburg-Landau free energy functional to all temperatures 0<T Tc. Theoretical predictions based on this functional for the heat capacity of superfluid 3He-B embedded in homogeneous, isotropic silica aerogel are in good agreement with experimental reports for superfluid 3He-B infused into 98.2% porous silica aerogel over the pressure range p=11 - 29\,bar. The analysis supports a conclusion that superfluid 3He-B infused into high-porosity silica aerogels is a gapless superfluid at all pressures.
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