# Powder Ball Milling: An energy balance approach to particle size reduction

Source: [Powder Ball Milling: An energy balance approach to particle size reduction](<https://www.sota2.com/research/paper/68fa48b41e209131ce9318b8>)

Collection index: [llms.txt](<https://www.sota2.com/research/llms.txt>)

Data updated: 2025-10-25T06:58:33.393Z

Authors: Stefano Martelli, Paolo Emilio Di Nunzio

Published: 2024-09-30T11:29:24.000Z

## Abstract

Milling of brittle materials shows a lower limit in size reduction, below which grinding cannot proceed further. Experimentally, the smallest particle size is determined by the milling media energy, and it is time-independent. Rittinger's law, which applies to fine grinding, does not consider any lower limit in size, leading to nonphysical results. A damping factor gradually inhibiting grinding efficiency has already been suggested as a modification. Milling mechanics and changes in material properties at small sizes have been associated to this behavior. In this work, the grinding inhibition is linked to an energy balance between the powder's specific surface energy and the energy density, calculated as the kinetic energy of the milling media divided by the impacted volume. By introducing the idea of energy equilibrium, comminution behaves as a phase transformation characterized by a JMAK kinetics. Validation of this formulation has been conducted on published and original data.

## Recorded benchmark results

A research result applies to its stated dataset, split, metric and evaluation configuration. Compare like-for-like settings, preserve the metric's unit and direction, and distinguish paper-reported results from independent reproduction. The best result recorded here is not a claim of exhaustive, current global coverage.

## Original sources and implementation

[Original paper](<https://arxiv.org/abs/2409.20202>)

[PDF](<https://arxiv.org/pdf/2409.20202.pdf>)