Relation between volume, number of faces and three-dimensional growth laws in coarsening cellular patterns
- 1 December 1993
- journal article
- research article
- Published by Taylor & Francis in Philosophical Magazine Letters
- Vol. 68 (6) , 363-365
- https://doi.org/10.1080/09500839308242429
Abstract
The recently established linear growth law for three-dimensional diffusive coarsening shows zero average growth for grains with 15·8 faces, while the average number of faces per grain in the pattern is 13·7 ± 0·1. In the better-known two-dimensional case, grains with six sides (the average number) show zero growth. We show that the three-dimensional zero growth value is a consequence only of the linear form of the law and the cubic dependence of average area per grain on the number of faces.Keywords
This publication has 8 references indexed in Scilit:
- Grain growth in three dimensions depends on grain topologyPhysical Review Letters, 1993
- The kinetics of cellular patternsJournal of Physics: Condensed Matter, 1992
- Scaling behavior in shaving creamPhysical Review A, 1991
- Multiple Light-Scattering Probes of Foam Structure and DynamicsScience, 1991
- Dynamics and coarsening in three-dimensional foamsJournal of Physics: Condensed Matter, 1990
- Computer simulation of normal grain growth in three dimensionsPhilosophical Magazine Part B, 1989
- Domain-growth kinetics for theQ-state Potts model in two and three dimensionsPhysical Review B, 1988
- Grain growth in three dimensions: A lattice modelScripta Metallurgica, 1985