Nucleation with allowance for fluctuation effects

A theory of homogeneous nucleation is developed on the basis of the concept of a hypersurface formed by a set of slowly varying order parameters $\xi$ in the space of all order parameters $\eta$ with respect to which a transition of the system from one phase state to another can take place. An equation that determines this hypersurface with allowance for fluctuation effects is obtained. The energy of formation of a nucleating center of critical size is estimated in the effective-field approximation for a system of gas–liquid type.