The University of Arizona

Topological Techniques for Characterization of Nanodot Patterns

Topological Techniques for Characterization of Nanodot Patterns

Series: Analysis, Dynamics, and Applications Seminar
Location: Math 402
Presenter: Rachel Neville, Department of Mathematics, University of Arizona

When a nominally flat binary compound is bombarded with a broad ion beam, disordered hexagonal arrays of nanodots can form. This process can be described by the Bradley-Shipman equations. Model parameters are reflected directly in dynamic data in a way that is made accessible by studying the  topological structure of the pattern. We will give a brief introduction to a topological technique, namely persistent homology, that provides a valuable lens through which to characterize the order of these nanodot arrays and to investigate the influence of nonlinear parameters on pattern formation and defects evolution.

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