Physics – Condensed Matter – Statistical Mechanics
Scientific paper
2002-03-28
J. Phys. B: At. Mol. Opt. Phys., 35, 2817 (2002)
Physics
Condensed Matter
Statistical Mechanics
11 pages, 1 appendix, 3 figures. Submitted to J. Phys. B: Atomic, Molecular & Optical
Scientific paper
10.1088/0953-4075/35/12/316
It is well-known that the number fluctuation in the grand canonical ensemble, which is directly proportional to the compressibility, diverges for an ideal bose gas as T -> 0. We show that this divergence is removed when the atoms interact in one dimension through an inverse square two-body interaction. In two dimensions, similar results are obtained using a self-consistent Thomas-Fermi (TF) model for a repulsive zero-range interaction. Both models may be mapped on to a system of non-interacting particles obeying the Haldane-Wu exclusion statistics. We also calculate the number fluctuation from the ground state of the gas in these interacting models, and compare the grand canonical results with those obtained from the canonical ensemble.
Bhaduri Rajat K.
Murthy M. V. N.
Tran Muoi N.
No associations
LandOfFree
Number Fluctuation in an interacting trapped gas in one and two dimensions 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 Number Fluctuation in an interacting trapped gas in one and two dimensions, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Number Fluctuation in an interacting trapped gas in one and two dimensions will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-63773