Nonlinear spatio-temporal dynamics and chaos in semiconductors / Eckehard Schöll.

Title from publisher's bibliographic system (viewed on 05 Oct 2015).

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

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.