Superfluid helium in fully saturated porous media

Kerson Huang*, Hsin-Fei Meng

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

4 Scopus citations

Abstract

The flow of superfluid He4 through spongelike media at full saturation is modeled by the flow of current through an Ohmic network with random resistors. Solving Kirchhoff's equations leads to the conclusion that the superfluid critical point is a percolation threshold, with critical exponent 1.7. The fractal dimension of the percolating cluster is 2.6. These lead to a specific-heat exponent α=-5.4, by the Josephson hyperscaling relation. Existing experiments apparently do not cover the critical region. Instead, they measure ''mean-field'' exponents, whose values for Vycor, aerogel, and xerogel can all be reproduced by choosing appropriate distribution functions for the resistors.

Original languageEnglish
Pages (from-to)6687-6690
Number of pages4
JournalPhysical Review B
Volume48
Issue number9
DOIs
StatePublished - 1 Jan 1993

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