Boson gas in a periodic array of tubes

Details Boson gas in a periodic array of tubes Boson gas in a periodic array of tubes

2011-12-15

arxiv.org/abs/1112.3412v1

Physics

Condensed Matter

Quantum Gases

9 pages, 10 figures, submitted

Scientific paper

We report the thermodynamic properties of an ideal boson gas confined in an infinite periodic array of channels modeled by two, mutually perpendicular, Kronig-Penney delta-potentials. The particle's motion is hindered in the x-y directions, allowing tunneling of particles through the walls, while no confinement along the z direction is considered. It is shown that there exists a finite Bose- Einstein condensation (BEC) critical temperature Tc that decreases monotonically from the 3D ideal boson gas (IBG) value $T_{0}$ as the strength of confinement $P_{0}$ is increased while keeping the channel's cross section, $a_{x}a_{y}$ constant. In contrast, Tc is a non-monotonic function of the cross-section area for fixed $P_{0}$. In addition to the BEC cusp, the specific heat exhibits a set of maxima and minima. The minimum located at the highest temperature is a clear signal of the confinement effect which occurs when the boson wavelength is twice the cross-section side size. This confinement is amplified when the wall strength is increased until a dimensional crossover from 3D to 1D is produced. Some of these features in the specific heat obtained from this simple model can be related, qualitatively, to at least two different experimental situations: $^4$He adsorbed within the interstitial channels of a bundle of carbon nanotubes and superconductor-multistrand-wires Nb$_{3}$Sn.

Affiliated with

Also associated with

No associations

Rating

Boson gas in a periodic array of tubes does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Boson gas in a periodic array of tubes, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Boson gas in a periodic array of tubes will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-561847