  The Reiss theory for binary homogeneous nucleation in binary gas mixtures is
critically analysed and further developed. Based on the analysis of phase space
trajectories in the supercritical zone of the phase transition, carried out
within the framework of the theory of two-dimensional dynamical systems and
supplemented by the flux matching condition at the boundary of the critical
zone, it is shown how the theory should be modified. The proposed modification
is equivalent to the earlier modifications by Langer and Stauffer, based on
additional trial assumptions (ansatz) for solving the steady state equation for
the non-equilibrium size distribution function, but reveals and substantiates
the approximation underlying their approach. The extension of the Reiss theory
to binary vapours in inert carrier (atmospheric) gases is justified.
