Dynamics of a system of sticking particles of a finite size on the line

TL;DR

This paper models the behavior of large systems of finite-sized particles on a line, focusing on their sticking collisions, mass and size aggregation, and velocity conservation, providing a continuous limit description.

Contribution

It introduces a continuous limit framework for large particle systems with sticking collisions, detailing mass, size, and velocity dynamics.

Findings

Derived a continuous model for particle aggregation

Described velocity conservation during sticking collisions

Provided insights into the system's large-scale behavior

Abstract

The continuous limit of large systems of particles of finite size on the line is described. The particles are assumed to move freely and stick under collision, to form compound particles whose mass and size is the sum of the masses and sizes of the particles before collision, and whose velocity is determined by conservation of linear momentum.