Title: Characterization of natural patterns
Speaker: Professor G. Gunaratne
Speaker Info: U. Houston
Brief Description:
Special Note:
Abstract:
Textured patterns are ubiquitous in nature and have been studied in well-controlled experimental systems. They are created via spontaneous symmetry breaking and consequently exhibit ``configuration independent" characteristics. A study of patterns should aim to describe and analyze these common aspects. A class of measures referred to as the ``disorder function", $\bar\delta(\beta)$ which provides such a characterization will be introduced. Analysis of patterns shows that $\bar\delta(\beta)$ is identical for multiple patterns generated under fixed external conditions. The behavior of $\bar\delta(\beta)$ for relaxation of patterns from initially random states will be presented. It exhibits distinct characteristics during the creation of domains and coarseningDate: Friday, February 26, 1999