Nonlinear Spatio-Temporal Dynamics and Chaos in Semiconductors
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.
- Introduces modern concepts of dynamic systems to semiconductors
- Links fundamental issues with aspects of applications in electronic devices
- State-of-the-art results on modern aspects of nonlinear dynamics
Product details
December 2002Hardback
9780521451864
422 pages
256 × 180 × 34 mm
1.097kg
193 b/w illus. 8 tables
Available
Table of Contents
- 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.