Development of the Reiss theory for binary homogeneous nucleation of aerosols

TL;DR

This paper critically analyzes and extends the Reiss theory for binary homogeneous nucleation, clarifying its assumptions and proposing modifications to improve its accuracy for binary vapor systems in inert gases.

Contribution

It provides a detailed modification of the Reiss theory based on phase space analysis and justifies its extension to binary vapors in inert gases.

Findings

Modified Reiss theory aligns with earlier models but clarifies underlying assumptions.

Extension to binary vapors in atmospheric gases is theoretically justified.

Analysis of phase space trajectories enhances understanding of nucleation dynamics.

Abstract

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.