A grand-canonical approach to the disordered Bose gas
  We study the problem of disordered interacting bosons within grand-canonical thermodynamics and Bogoliubov theory. We compute the fractions of condensed and non-condensed particles and corrections to the compressibility and the speed of sound due to interaction and disorder. There are two small parameters, the disorder strength compared to the chemical potential and the dilute-gas parameter. 
Christopher Gaul and Cord A. M\"uller
cond-mat.quant-gas cond-mat.dis-nn