$λ$-Type phase transition for a weakly interacting bose gas

Abstract

A mechanism generating a $λ$-type behavior in the specific heat of a Bose gas near the critical temperature $T_c$ is discussed. It is shown to work for a general class of quasiparticle spectra, and especially, for the Bogoliubov's model of a weakly interacting Bose gas, where a temperature-dependent quasi-particle spectrum is obtained.

16 pages, laTeX