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Vortex-Ring Specific Heat of Superfluid Helium in Porous Materials

Authors
  • Williams, Gary A.1
  • 1 University of California, Department of Physics and Astronomy, Los Angeles, CA, 90095, sUSA , Los Angeles
Type
Published Article
Journal
Journal of Low Temperature Physics
Publisher
Kluwer Academic Publishers-Plenum Publishers
Publication Date
Jan 01, 1998
Volume
110
Issue
1-2
Pages
567–572
Identifiers
DOI: 10.1023/A:1022519218970
Source
Springer Nature
Keywords
License
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Abstract

The specific heat of superfluid4He in a porous material is calculated using a vortex-ring renormalization theory, both for completely filled pores and for thin films. The porous medium introduces a new length scale L into the problem which is of the order of the pore size of the material, and which becomes the starting vortex-ring size of the recursion relations (the T=0 correlation length). The specific heat displays a lambda-like critical peak, but the amplitude of the peak is suppressed by a very large factor (L/ao)3compared to the bulk, where ao≈ 2.5 Å is the starting ring size for the bulk liquid calculation. This is in agreement with scaling theories invoking “two-scale-factor universality”, and provides a simple picture of the superfluid transition in porous materials, where the vortex cores of the rings are the material itself.

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