Application of boundary functionals of the theory of random processes to aerosol coagulation

TL;DR

This paper introduces a novel method using boundary functionals of random process theory to model aerosol coagulation, successfully matching experimental data and providing probabilistic and average concentration estimates.

Contribution

It applies boundary functionals of random process theory to aerosol coagulation, offering a new analytical approach that aligns with experimental observations.

Findings

First-passage time matches experimental aerosol concentration dynamics

Probabilities for specific aerosol concentrations are derived

Expressions for average aerosol concentrations are provided

Abstract

A new approach to describing aerosol behavior is proposed. Boundary functionals of random process theory are applied to describe the behavior of aerosol concentrations during coagulation. It is shown that considering the first-passage time of a given aerosol concentration level corresponds to experimental results for the time dependence of aerosol concentration. Probabilities for aerosol concentrations to attain specific values are obtained, as well as expressions for average aerosol concentrations.