Superfluid helium in fully saturated porous media

Kerson Huang*, Hsin-Fei Meng

*Corresponding author for this work

研究成果: Article同行評審

4 引文 斯高帕斯(Scopus)


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.

頁(從 - 到)6687-6690
期刊Physical Review B
出版狀態Published - 1 一月 1993

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