All Physics Faculty Publications
Title
Rate Equation and Scaling for Fragmentation with Mass Loss
Document Type
Conference Paper
Journal/Book Title/Conference
Bulletin of the American Physical Society
Volume
34
Publication Date
1989
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 xα and a continuous-mass-loss rate εxγ,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.
Recommended Citation
"Rate Equation and Scaling for Fragmentation with Mass Loss," B. F. Edwards, M. Cai, and H. Han, Bull. Am. Phys. Soc. 34, 729 (1989).
Comments
Bull. Am. Phys. Soc. 34, 729