Structure and Fractal Properties in Geological Crystallization Processes Due to Nucleation and Growth
Based on a continuum model of nucleation and growth in two and three dimensions we present results for grain size and cluster size distributions for different nucleation and growth mechanisms. The percolative properties of these systems are determined with respect to percolation threshold and appropriate exponents for volume, surface, and hull of the clusters. The universal behaviour of these systems is confirmed. The present results are applicable for the description of crystallization processes in igneous rocks as well as for understanding the structure of pore spaces in sedimentary rocks.
KeywordsFractal Property Percolation Threshold Cluster Size Distribution Radius Distribution Continuous Nucleation
Unable to display preview. Download preview PDF.
- Christian JW (1965) The Theory of Transformations in Metals and Alloys. Pergamon Press, Oxford.Google Scholar
- Lorenz B (1990) Influence of nucleation mechanism on the evolution of microstructures during nucleation and growth. Mat Sci Forum 62–64: 737–738.Google Scholar
- Lorenz B, Orgzall I (1991) Kinetics of high pressure phase transitions in the diamond anvil cell. In: Hochheimer HD, Etters RD (eds) Frontiers of High Pressure Research. Plenum Press, New York, pp 243–251.Google Scholar