Rate Equation and Scaling for Fragmentation with Mass Loss

Authors

Boyd F. Edwards, Utah State UniversityFollow
M. Cai
H. Han

Document Type

Article

Journal/Book Title/Conference

Physical Review A

Volume

41

Issue

10

Publisher

American Physical Society

Publication Date

5-1990

First Page

5755

Last Page

5757

Abstract

A linear rate equation describes fragmentation with continuous and discrete mass loss typified by consumption of porous reactive solids and two-phase heterogeneous solids. For a mass-dependent fragmentation rate x^α and a continuous-mass-loss rate εx^γ,σ=γ-α-1<0 yields a>‘‘recession regime’’ where small particles lose mass continuously without breaking, σ>0 yields a ‘‘fragmentation regime’’ where all particles break, and σ=0 yields scaling for α>0. Shattering for α<0 and>σ≥0 is runaway fragmentation producing an infinte number of particles in a finite time, Exact and asymptotic solutions, exponent relations, and connections with static percolation are found.

Comments

http://pra.aps.org/abstract/PRA/v41/i10/p5755_1

Published by the American Physical Society in "Physical Review A." Publisher PDF is available for download through the link above.

Recommended Citation

"Rate Equation and Scaling for Fragmentation with Mass Loss," B. F. Edwards, M. Cai, and H. Han, Phys. Rev. A Rapid Communications 41, 5755 (1990) [52].