Coarsening of Fractal Interfaces
Abstract
The process of coarsening by curvature driven interface motion of fractal interfaces in two-dimensional space is studied by analytical and numerical methods. A statistical model is presented, which allows an analytical treatment of the main features of coarsening of a fractal interface. For non-conserved motion the interface is described by a statistical distribution function of size scales, which obeys a continuity equation in size space. The solution of the continuity equation yields, for a self-similar initial distribution function, the time development of the interface in terms of a time dependent size distribution function, which exhibits a growing lower characteristic length scale and leads to a power-law decay of the total interface length. The effect of coarsening on the scale of observation is discussed.
Document Details
- Document Type
- Technical Report
- Publication Date
- Jan 01, 2000
- Accession Number
- ADP010907
Entities
People
- P. Streitenberger
Organizations
- University of Magdeburg