# Kinetics of Fragmenting Freely Evolving Granular Gases

Source: [Kinetics of Fragmenting Freely Evolving Granular Gases](<https://www.sota2.com/research/paper/68fa31ba1e209131ce881504>)

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

Data updated: 2025-10-24T19:02:22.005Z

Authors: Ignacio Pagonabarraga, Emmanuel Trizac

Published: 2003-03-03T16:46:40.000Z

## Abstract

We investigate the effect of fragmentation on the homogeneous free cooling of inelastic hard spheres, using Boltzmann kinetic theory and Direct Monte Carlo simulations. We analyze in detail a model where dissipative collisions may subsequently lead to a break-up of the grains. With a given probability, two off-springs are then created from one of the two colliding partners, with conservation of mass, momentum and kinetic energy. We observe a scaling regime characterized by a single collisional average, that quantifies the deviations from Gaussian behaviour for the joint size and velocity distribution function. We also discuss the possibility of a catastrophe whereby the number of particles diverges in a finite time. This phenomenon appears correlated to a \`\`shattering'' transition marked by a delta singularity at vanishingly small grains for the rescaled size distribution.

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## Original sources and implementation

[Original paper](<https://arxiv.org/abs/cond-mat/0303037>)

[PDF](<https://arxiv.org/pdf/cond-mat/0303037.pdf>)