TY - BOOK AU - Schöll,E. TI - Nonlinear spatio-temporal dynamics and chaos in semiconductors T2 - Cambridge nonlinear science series SN - 9780511524615 (ebook) AV - QC611.6.H67 S46 2000 U1 - 537.6/226 21 PY - 2000/// CY - Cambridge PB - Cambridge University Press KW - Hot carriers KW - Transport theory KW - Nonlinear theories KW - Semiconductors KW - Chaotic behavior in systems N1 - 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 N2 - 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 UR - https://doi.org/10.1017/CBO9780511524615 ER -