Microscopic theory of He II-He3 mixtures including dissipative processes

The conclusions following from the solutions of the linearized hydrodynamic equations are discussed. By using some of symmetry properties of the Green functions the kinetic coefficients coupled to the external fields are determined and some interesting informations concerning the thermodynamic derivatives of the condensate density arise. A number of the Green functions is calculated in the hydrodynamic approximation. The examination of their denominators leads to the expressions for damping of the acoustic modes in He II-He³. A set of Kubo-type formulae for the kinetic coefficients and certain sum rules are obtained.