Thermodynamics of rotating weakly interacting Bose gases in a harmonic trap

The analytical expressions of particle number, critical temperature, condensate fraction, total energy, specific heat and spatial distribution of particle current for rotating weakly interacting Bose gases in a harmonic trap are derived by using the local density approximation (LDA). The effects of weakly repulsive interaction on the above thermodynamics are discussed by introducing a positive scattering length. Our results completely coincide with those for the case of rotating ideal Bose gases when the weak interaction disappears.