PATTERN FORMATION IN CONDENSED MATTER

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Abstract
A mini-review is given of complex pattern formation in hard and soft condensed matter with special emphasis on the dynamics of random networks of interfaces and growth of tenuous structures. The elementary principles of describing such phenomena are outlined together with a discussion based on a number of specific examples, including domain growth and dynamics of ordering processes as well as diffusion-limited aggregation and impurity-controlled solidification. Results obtained from simple model calculations are presented and it is also demonstrated how pattern-formation phenomena in space and time may be described using the concepts of fractal geometry and dynamical scaling. The possibility of a universal classification of ordering dynamics and growth of fractal structures will be discussed.

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