Nonlinear Spatio Temporal Dynamics and Chaos in Semiconductors Cambridge Nonlinear Science Series 1st Edition by Eckehard Scholl ISBN 0521451868 9780521451864
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ISBN 10: 0521451868
ISBN 13: 9780521451864
Author: Eckehard Scholl
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.
Nonlinear Spatio Temporal Dynamics and Chaos in Semiconductors Cambridge Nonlinear Science Series 1st Table of contents:
Chapter 1: Introduction to Nonlinear Dynamics in Semiconductors
1.1. Fundamentals of Semiconductor Physics
1.2. Linear vs. Nonlinear Behavior
1.3. Spatio-Temporal Dynamics: An Overview
1.4. Chaos and Complex Behavior in Semiconductors
Chapter 2: Mathematical Foundations
2.1. Nonlinear Differential Equations
2.2. Bifurcation Theory
2.3. Stability Analysis
2.4. Lyapunov Exponents and Chaos Indicators
2.5. Partial Differential Equations for Spatial Dynamics
Chapter 3: Experimental Observations in Semiconductor Systems
3.1. Early Experiments on Nonlinear Dynamics
3.2. Spatio-Temporal Pattern Formation
3.3. Detection and Measurement of Chaos
3.4. Noise and Fluctuations in Semiconductor Devices
Chapter 4: Models of Nonlinear Dynamics in Semiconductors
4.1. Drift-Diffusion Models
4.2. Rate Equations and Carrier Dynamics
4.3. Coupled Nonlinear Oscillators
4.4. Reaction-Diffusion Systems
Chapter 5: Chaos in Semiconductor Lasers
5.1. Fundamentals of Semiconductor Lasers
5.2. Nonlinear Oscillations and Instabilities
5.3. Route to Chaos
5.4. Synchronization and Control of Chaos
5.5. Applications in Optical Communication
Chapter 6: Spatial Patterns and Spatio-Temporal Chaos
6.1. Pattern Formation Mechanisms
6.2. Traveling Waves and Fronts
6.3. Turing Patterns in Semiconductor Structures
6.4. Spatio-Temporal Intermittency
6.5. Numerical Simulations of Complex Dynamics
Chapter 7: Control and Applications of Chaos in Semiconductors
7.1. Chaos Control Techniques
7.2. Applications in Secure Communications
7.3. Signal Processing and Random Number Generation
7.4. Engineering Implications
Chapter 8: Advanced Topics and Emerging Research
8.1. Quantum Effects on Nonlinear Dynamics
8.2. Nonlinear Dynamics in Nanostructures
8.3. Future Directions in Spatio-Temporal Semiconductor Research
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Tags: Eckehard Scholl, Nonlinear Spatio, Semiconductors Cambridge