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  3. Nonlinear Spatio-Temporal Dynamics and Chaos in Semiconductors
  • Cited by 150
Publisher:
Cambridge University Press
Online publication date:
September 2009
Print publication year:
2001
Online ISBN:
9780511524615
DOI:
https://doi.org/10.1017/CBO9780511524615
Subjects:
Physics and Astronomy, Condensed Matter Physics, Nanoscience and Mesoscopic Physics, Nonlinear Science and Fluid Dynamics
Series:
Cambridge Nonlinear Science Series (10)
Information

Book description

Nonlinear transport phenomena are an increasingly important aspect of modern semiconductor research. Nonlinear Spatio-Temporal Dynamics and Chaos in Semiconductors deals with complex nonlinear dynamics, pattern formation, and chaotic behaviour in such systems. In doing so it bridges the gap between two well-established fields: the theory of dynamic systems, and nonlinear charge transport in semiconductors. This unified approach is used to consider important electronic transport instabilities. The initial chapters lay a general framework for the theoretical description of nonlinear self-organized spatio-temporal patterns, like current filaments, field domains, fronts, and analysis of their stability. Later chapters consider important model systems in detail: impact ionization induced impurity breakdown, Hall instabilities, superlattices, and low-dimensional structures. State-of-the-art results include chaos control, spatio-temporal chaos, multistability, pattern selection, activator-inhibitor kinetics, and global coupling, linking fundamental issues to electronic device applications. This book will be of great value to semiconductor physicists and nonlinear scientists alike.

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