Ideal Bose gas in fractal dimensions and superfluid $^4$He in porous media

Sang-Hoon Kim, Chul Koo Kim, Kyun Nahm

Published 1999-08-06Version 1

Physical properties of ideal Bose gas with the fractal dimensionality between D=2 and D=3 are theoretically investigated. Calculation shows that the characteristic features of the specific heat and the superfluid density of ideal Bose gas in fractal dimensions are strikingly similar to those of superfluid Helium-4 in porous media. This result indicates that the geometrical factor is dominant over mutual interactions in determining physical properties of Helium-4 in porous media.