Physics – Condensed Matter – Statistical Mechanics
Scientific paper
1997-06-10
Physics
Condensed Matter
Statistical Mechanics
39 pages, 9 figures, picTex, submitted to Annals of Physics. Discussions on renormalization and off-diagonal self energies are
Scientific paper
10.1006/aphy.1998.5795
The one-loop effective potential for non-relativistic bosons with a delta function repulsive potential is calculated for a given chemical potential using functional methods. After renormalization and at zero temperature it reproduces the standard ground state energy and pressureas function of the particle density. At finite temperatures it is found necessary to include ring corrections to the one-loop result in order to satisfy the Goldstone theorem. It is natural to introduce an effective chemical potential directly related to the order parameter and which uniformly decreases with increasing temperatures. This is in contrast to the the ordinary chemical potential which peaks at the critical temperature. The resulting thermodynamics in the condensed phase at very low temperatures is found to be the same as in the Bogoliubov approximation where the degrees of freedom are given by the Goldstone bosons. At higher temperatures the ring corrections dominate and result in a critical temperature unaffected by the interaction.
Haugerud Haarek
Haugset Tor
Ravndal Finn
No associations
LandOfFree
Thermodynamics of a weakly interacting Bose-Einstein gas 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 Thermodynamics of a weakly interacting Bose-Einstein gas, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Thermodynamics of a weakly interacting Bose-Einstein gas will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-695643