Finite temperature scaling theory for the collapse of Bose-Einstein condensate

Abstract

We show how to apply the scaling theory in an inhomogeneous system like harmonically trapped Bose condensate at finite temperature. We calculate the temperature dependence of the critical number of particles by a scaling theory within the Hartree-Fock approximation and find that there is a dramatic increase in the critical number of particles as the condensation point is approached. © 2009 EDP Sciences, SIF, Springer-Verlag Berlin Heidelberg.