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

TL;DR

This paper investigates the behavior of an ideal Bose gas in fractal dimensions between 2 and 3, revealing similarities to superfluid helium-4 in porous media and highlighting the importance of geometry over interactions.

Contribution

It provides a theoretical analysis of Bose gases in fractal dimensions, linking geometrical effects to superfluid properties in porous media.

Findings

Specific heat features resemble superfluid helium-4

Superfluid density behavior matches experimental observations

Geometry dominates over interactions in determining properties

Abstract

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.