Exact and asymptotic scaling solutions for fragmentation with mass loss

Journal Article · Tue Jan 15 04:00:00 EST 1991 · Physical Review, A; (USA)

DOI:https://doi.org/10.1103/PhysRevA.43.656· OSTI ID:6255668

Cai, M; Edwards, B F; Han, H ^[1]

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1. Department of Physics, West Virginia University, Morgantown, West Virginia 26506 (US)

Exact and asymptotic solutions to a linear rate equation for fragmentation with mass loss are presented. Solutions for spatially discrete random bond annihilation illustrate the mutual exclusiveness of the fragmentation and recession terms in the rate equation. Exact solutions for deterministic equal fragment recession show that continuous mass loss between fragmentation events can be approximated by discrete mass loss during fragmentation events when this mass loss is small. Evidence that continuous and discrete mass loss preclude shattering mass loss, the loss of mass to zero-mass particles due to runaway fragmentation, is presented. General asymptotic scaling forms, general solutions reflecting arbitrary initial conditions, and explicit scaling solutions are derived.

• DOE Contract Number: FG22-89PC89791
• OSTI ID: 6255668
• Journal Information: Physical Review, A; (USA), Journal Name: Physical Review, A; (USA) Vol. 43:2; ISSN 1050-2947; ISSN PLRAA
• Country of Publication: United States
• Language: English

Related Subjects

36 MATERIALS SCIENCE
360603 -- Materials-- Properties
37 INORGANIC, ORGANIC, PHYSICAL, AND ANALYTICAL CHEMISTRY
400201* -- Chemical & Physicochemical Properties
ASYMPTOTIC SOLUTIONS
CHEMICAL REACTION KINETICS
EQUATIONS
FRAGMENTATION
KINETIC EQUATIONS
KINETICS
LOSSES
MASS
PHASE TRANSFORMATIONS
POLYMERS
REACTION KINETICS
SCALING LAWS
SOLIDS