Capture of Superfluid Helium by Porous Structures

Boltnev, R. E.; Bykhalo, I. B.; Ivashin, S. V.; Krushinskaya, I. N.; Межов-Деглин, Л. П.

doi:10.1007/s10909-007-9575-7

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2010

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Cited by 3 publications

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“…In particular, the effects of a finite number of particles on BEC of an ideal gas was discussed in theoretical works [3][4][5][6][7], where the corrections to the bulk properties were found. Bose-systems in porous medium are also under extensive study, in particular, He 4 properties in porous glasses [8], aerogel [9,10], nanoporous gelsil glass [11]. It is suggested that the presence of a porous medium can be analyzed by finding an analogy with fractional dimensionality [12][13][14].…”

Section: Introductionmentioning

confidence: 99%

Harmonically Trapped Bosons on the Sierpiński Carpet

Rovenchak

2010

Acta Phys. Pol. A

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An ideal Bose-gas confined in a harmonic potential is studied. The thermodynamic properties of the said system are obtained in a general case of D dimensions, where D can be fractional (this corresponds to, e.g., porous medium). For the critical temperature, expansions with respect to the number of particles in the system are obtained. Numerical study is made for D = ln 8/ ln 3 corresponding to the dimensionality of the so-called Sierpiński carpet.

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