Nonisothermal nucleation kinetics: Derivation of the basic equations

The paper is based on an approach previously proposed [1] by one of the authors to the theory of the growth kinetics of liquid nucleation centers that interact with a gas phase that is in thermodynamic equilibrium. The system is described by the distribution function of the nucleation-center sizes; an equation for the evolution of this function is obtained as well as a relaxation-type equation for the temperature of the nucleation centers.