A nonextensive statistical model of multiple particle breakage

TL;DR

This paper introduces a novel statistical model for multiple particle breakage using Tsallis non-extensive entropy combined with fractal kinetics, providing a time-dependent description of fragment size distribution.

Contribution

It develops a new nonextensive statistical framework integrating fractal kinetics to model particle breakage dynamics.

Findings

The model fits experimental data well.

It captures the time evolution of fragment sizes.

Provides a theoretical basis for nonextensive particle breakage analysis.

Abstract

A time-dependent statistical description of multiple particle breakage is presented. The approach combines the Tsallis non-extensive entropy with a fractal kinetic equation for the time variation of the number of fragments. The obtained fragment size distribution function is tested by fitting some experimental reports.