Multicomponent nonisothermal nucleation. 2. Chapman-Enskog procedure

TL;DR

This paper develops a theoretical framework for multicomponent nonisothermal nucleation, utilizing the Chapman-Enskog method to simplify the kinetic equations and derive practical formulas for the process.

Contribution

It introduces a novel application of the Chapman-Enskog procedure to multicomponent nucleation, avoiding small parameters and simplifying the kinetic equations to Fokker-Planck form.

Findings

Derived formulas for corrections in nucleation kinetics

Reduced complex kinetic equations to Fokker-Planck form

Provided a method to estimate approximation tails

Abstract

The second part of the theory for the multicomponent nonisothermal nucleation is presented. The solution of the kinetic equation already derived in the first part is given with the help of the Chapman-Enskog procedure. At first the relaxation stage is considered. The special choice of the relaxation operator allows to refuse from the special small parameter usually required in the nucleation problems. The special procedure allows to estimate the tails of the approximations appeared in the reccurent procedures. The final formulas for corrections allows to reduce the problem to the ordinary Fokker-Planck equation in the nulticomponent case.