Physics – Condensed Matter – Statistical Mechanics
Scientific paper
2001-05-07
Phys. Rev. A64, 053609 (2001)
Physics
Condensed Matter
Statistical Mechanics
37 pages, 14 figures; sign error fixed that affects final numbers, plus minor changes
Scientific paper
10.1103/PhysRevA.64.053609
For some time, the theoretical result for the transition temperature of a dilute three-dimensional Bose gas in an arbitrarily wide harmonic trap has been known to first order in the interaction strength. We extend that result to second order. The first-order result for a gas trapped in a harmonic potential can be computed in mean field theory (in contrast to the first order result for a uniform gas, which cannot). We show that, at second order, perturbation theory suffices for relating the transition temperature to the chemical potential at the transition, but the chemical potential is non-perturbative at the desired order. The necessary information about the chemical potential can be extracted, however, from recent lattice simulations of uniform Bose gases.
Arnold Peter
Tomasik Boris
No associations
LandOfFree
T_c for trapped dilute Bose gases: a second-order result 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 T_c for trapped dilute Bose gases: a second-order result, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and T_c for trapped dilute Bose gases: a second-order result will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-455370