Non Linear Dynamics, Pattern Formation and Materials Science

  • Daniel Walgraef
Conference paper
Part of the Nonlinear Phenomena and Complex Systems book series (NOPH, volume 8)

Abstract

Spatio-temporal pattern formation in physico-chemical systems far from thermal equilibrium has long been a puzzling phenomenon. Until the last decade, understanding pattern selection and stability mechanisms was considered as a challenge. Fortunately, thanks to intensive theoretical and experimental research, a unified framework is now available to study pattern formation phenomena. It has been successfully applied to several systems, in different fields, such as hydrodynamics, chemistry, and nonlinear optics. They are now being applied to various types of materials instabilities, and will hopefully lead to a better understanding of phenomena such as the formation and evolution of defect microstructures in plastically deformed or irradiated materials, the formation and symmetries of regular deformation patterns in surfaces and thin films under laser irradiation, the role and the control of instabilities in surface modification technologies, etc. In this context, defect microstructures appear as the result of defect motion and nonlinear interactions, which naturally destabilize uniform distributions. The applicability of the methods of nonlinear dynamics to materials instabilities is analyzed, and an appropriate methodology is proposed. The importance of nonlinear analysis beyond instability thresholds in the determination of pattern selection and stability is emphasized. Several examples are discussed, with references to relevant reviews and technical publications.

Keywords

Pattern Formation Plastic Instability Laser Annealing Instability Threshold Irradiate Material 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.
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Copyright information

© Kluwer Academic Publishers 2004

Authors and Affiliations

  • Daniel Walgraef
    • 1
  1. 1.Center for Nonlinear Phenomena and Complex SystemsUniversité Libre de BruxellesBrusselsBelgium

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