Distribution of size particles in the Gibbs system

TL;DR

This paper investigates how particle sizes distribute in Gibbs systems, considering interactions, compressibility, and core presence, providing probabilistic models and comparisons with existing approaches.

Contribution

It introduces a probabilistic framework for particle size distribution in Gibbs systems, accounting for interactions and core effects, which is a novel approach.

Findings

Particle size distribution depends on interactions and compressibility.

Presence of an incompressible core alters size distribution.

Results align with certain existing models and approximations.

Abstract

In the framework of the Gibbs statistical theory, the question of the size of the particles forming the statistical system is investigated. This task is relevant for a wide variety of applications. The distribution for particle sizes and the moments of this quantity are determined from probabilistic considerations. The results are compared with different models and approximations. The particle size depends on the interactions in the system, on the compressibility factor, on the number of interacting particles. The cases of the absence and presence of a rigid incompressible particle core are considered.