Nonlinear spatio-temporal dynamics and chaos in semiconductors

書誌事項

Nonlinear spatio-temporal dynamics and chaos in semiconductors

Eckehard Schöll

(Cambridge nonlinear science series, 10)

Cambridge University Press, 2001

  • : hbk

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注記

Includes bibliographical references (p. [371]-402) and index

内容説明・目次

内容説明

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.

目次

  • 1. Semiconductors as continuous nonlinear dynamic systems
  • 2. Concepts of nonlinear charge transport in semiconductors
  • 3. Pattern formation and oscillatory instabilities in semiconductors
  • 4. Impact ionization induced impurity breakdown
  • 5. Nonlinear carrier dynamics in crossed electric and magnetic fields
  • 6. Stationary and oscillating domains in superlattices
  • 7. Spatio-temporal chaos.

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