Tenuous Structures from Disorderly Growth Processes
- 27 June 1986
- journal article
- research article
- Published by American Association for the Advancement of Science (AAAS) in Science
- Vol. 232 (4758), 1607-1612
- https://doi.org/10.1126/science.232.4758.1607
Abstract
Colloidal aggregation and other random growth processes produce structures that behave differently from ordinary bulk matter. Much of this behavior can be described in terms of the invariance of the aggregates under changes of spatial length scale: they appear to be fractals. There are two types of basic mechanisms for producing fractal aggregates. Those in which aggregation proceeds cluster by cluster can be understood qualitatively in terms of a solvable schematic model. The diffusion-limited aggregation or deposition of individual particles to make a large cluster is not as well understood. It is closely related to several irreversible processes in other areas of physics, such as two-fluid displacement in porous materials and the dielectric breakdown of insulators. More generally, disorderly growth mechanisms provide structures having unique properties, many of which can be understood by using simple statistical principles.Keywords
This publication has 64 references indexed in Scilit:
- Viscous Fingering Fractals in Porous MediaPhysical Review Letters, 1985
- Experimental Demonstration of the Role of Anisotropy in Interfacial Pattern FormationPhysical Review Letters, 1985
- Comment on "Eden Model in Many Dimensions"Physical Review Letters, 1985
- Eden Model in Many DimensionsPhysical Review Letters, 1984
- Statics and Dynamics of Polymeric FractalsPhysical Review Letters, 1984
- Size distribution of clusters in irreversible kinetic aggregationJournal of Physics A: General Physics, 1984
- Models of cluster growth on the Cayley treePhysical Review B, 1984
- Fractal Dimension of Dielectric BreakdownPhysical Review Letters, 1984
- Statistics of lattice animals and dilute branched polymersPhysical Review A, 1979
- Effect of Carbon Black on Dynamic Properties of Rubber VulcanizatesRubber Chemistry and Technology, 1978