A Model for the Lambda Transition of Helium 4
Abstract
Guided by the analogy to the BoseEinstein condensation of the ideal Bose gas (IBG) we propose a new model for the lambda transition of liquid helium. Deviating from the IBG our model uses phase ordered and localized singleparticle functions. This means that finite groups of particles are assumed to be phaselocked. These phase correlations can be related to the singularity at the transition point and to the occurrence of the superfluid density. The model leads to the following results: 1. A possible explanation of the logarithmic singularity of the specific heat. 2. A characteristic functional form for the superfluid density which yields excellent fits to the experimental data. 3. A quantitative prediction of a small but nonzero entropy content of the superfluid component.
 Publication:

arXiv eprints
 Pub Date:
 March 2002
 arXiv:
 arXiv:condmat/0203353
 Bibcode:
 2002cond.mat..3353F
 Keywords:

 Statistical Mechanics
 EPrint:
 12 pages, 4 figures