Holdings: Nonlinear spatio-temporal dynamics and chaos in semiconductors

Nonlinear spatio-temporal dynamics and chaos in semiconductors:

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Bibliographic Details
Main Author:	Schöll, Eckehard 1951- (Author)
Format:	Book
Language:	English
Published:	Cambridge [u.a.] Cambridge University Press 2001
Edition:	1. published
Series:	Cambridge nonlinear science series 10
Subjects:	Chaos Porteurs chauds Semiconducteurs Théories non linéaires Transport, Théorie du Chaotic behavior in systems Hot carriers Nonlinear theories Semiconductors Transport theory Ladungstransport Halbleiter Nichtlinearer Prozess Musterbildung
Online Access:	Inhaltsverzeichnis
Physical Description:	XIII, 406 Seiten Illustrationen, Diagramme
ISBN:	0521451868

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MARC


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Record in the Search Index

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adam_text	NONLINEAR SPATIO-TEMPORAL DYNAMICS AND CHAOS IN SEMICONDUCTORS ECKEHARD SCHOLL TECHNISCHE UNIVERSITAET BERLIN 1 CAMBRIDGE UNIVERSITY PRESS CONTENTS PREFACE XI CHAPTER I SEMICONDUCTORS AS CONTINUOUS NONLINEAR DYNAMIC SYSTEMS 1 1 . 1 INTRODUCTION 1 1.1.1 DISSIPATIVE STRUCTURES 1 1.1.2 NEGATIVE DIFFERENTIAL CONDUCTIVITY 4 1.2 BIFURCATIONS IN DYNAMIC SYSTEMS 6 1.2.1 BASIC NOTIONS 6 1.2.2 LINEAR STABILITY ANALYSIS 1 1.2.3 CLASSIFICATION OF BIFURCATIONS 10 1.3 DETERMINISTIC CHAOS 19 1.3.1 ROUTES TO CHAOS 22 1.3.2 CHAOS CONTROL 24 1.4 ACTIVATOR-INHIBITOR KINETICS 28 1.4.1 ACTIVE MEDIA 28 1.4.2 THE DYNAMICS OF THE ELECTRIC FIELD 30 1.5 GLOBAL COUPLING 32 1.5.1 GLOBAL INHIBITORY CONSTRAINTS 32 1.5.2 OPERATION IN A LOAD CIRCUIT 33 1.6 THE SCOPE OF THIS BOOK 36 CHAPTER 2 CONCEPTS OF NONLINEAR CHARGE TRANSPORT IN SEMICONDUCTORS 39 2.1 INTRODUCTION 39 2.1.1 DEVICE SIMULATION 40 2.1.2 QUANTUM TRANSPORT 41 2.1.3 NONLINEAR DYNAMICS 42 VIII CONTENTS 2.2 2.2.1 2.2.2 2.2.3 2.3 2.3.1 2.3.2 2.3.3 2.3.4 2.3.5 2.4 2.4.1 2.4.2 2.4.3 2.4.4 2.4.5 2.4.6 2.4.7 2.4.8 NONEQUILIBRIUM TRANSPORT 42 LOW-DIMENSIONAL SEMICONDUCTOR STRUCTURES 42 SPACE-CHARGE DYNAMICS 49 VARIOUS TRANSPORT REGIMES 51 THE HIERARCHY OF MODELING APPROACHES QUANTUM TRANSPORT 53 THE SEMICLASSICAL BOLTZMANN EQUATION HYDRODYNAMIC BALANCE EQUATIONS 58 CLASSICAL DRIFT-DIFFUSION THEORY 60 REACTION-DIFFUSION MODELS 61 MODELS FOR CURRENT INSTABILITIES 62 DRIFT INSTABILITY 63 GENERATION-RECOMBINATION INSTABILITY ELECTRON-OVERHEATING INSTABILITY 66 REAL-SPACE TRANSFER INSTABILITY 67 THE HETEROSTRUCTURE HOT-ELECTRON DIODE 53 56 64 70 DOUBLE-BARRIER RESONANT-TUNNELING DIODE 76 LAYERED P-N-P-N STRUCTURES 81 THYRISTOR STRUCTURES 85 CHAPTER 3 PATTERN FORMATION AND OSCILLATORY INSTABILITIES IN SEMICONDUCTORS 90 3.1 INTRODUCTION 90 3.2 STABILITY AND DIFFERENTIAL CONDUCTANCE 96 3.2.1 STABILITY AT FIXED VOLTAGE 98 3.2.2 OPERATION VIA A LOAD RESISTOR 100 3.2.3 CONDITIONS OF OSCILLATORY CURRENT INSTABILITIES 103 3.2.4 APPLICATION TO S- AND Z-TYPE CURRENT-VOLTAGE CHARACTERISTICS 105 3.3 CURRENT FILAMENTS AND FIELD DOMAINS 108 3.3.1 DOMAIN INSTABILITY 109 3.3.2 FILAMENTARY INSTABILITY 113 3.4 CONDITIONS FOR STABILITY OF CURRENT FILAMENTS 115 3.4.1 EIGENVALUES OF A VOLTAGE-DRIVEN SYSTEM 121 3.4.2 THE EFFECT OF THE GLOBAL CONSTRAINT ON FILAMENT STABILITY 12 4 3.4.3 CURRENT FILAMENTS ON TWO-DIMENSIONAL DOMAINS 128 3.5 LATERAL CURRENT-DENSITY FRONTS IN GLOBALLY COUPLED BISTABLE SYSTEMS 134 3.5.1 TRIGGER FRONTS 135 3.5.2 THE FRONT VELOCITY AS A FUNCTION OF THE APPLIED VOLTAGE 140 3.5.3 GLOBALLY COUPLED FRONT DYNAMICS 143 CONTENTS IX CHAPTER 4 IMPACT-IONIZATION-INDUCED IMPURITY BREAKDOWN 152 4.1 INTRODUCTI ON 152 4.2 A MODEL FOR IMPACT-IONIZATION BREAKDOWN 154 4.2.1 CONSTITUTIVE EQUATIONS 154 4.2.2 THE CURRENT-DENSITY-FIELD CHARACTERISTIC 156 4.2.3 GENERATION-RECOMBINATION COEFFICIENTS 157 4.3 CHAOTIC DIELECTRIC RELAXATION OSCILLATIONS 162 4.3.1 OSCILLATORY INSTABILITY 164 4.3.2 THE PERIOD-DOUBLING ROUTE TO CHAOS 165 4.4 CURRENT FILAMENTATION 167 4.4.1 FILAMENTARY INSTABILITY 168 4.4.2 STATIONARY FILAMENTS 172 4.4.3 BREATHING FILAMENTS LIB *** OSTWALD RIPENING UNDER GLOBAL CONSTRAINTS 17 9 4.4.5 THE COMPLEX DYNAMICS OF CURRENT FILAMENTS 180 4.5 TRAVELING-WAVE INSTABILITIES 187 4.5.1 ANALYSIS OF THE LINEAR STABILITY 187 4.5.2 SIMULATION OF TRAVELING CARRIER-DENSITY WAVES 193 4.6 THE DYNAMICS OF CURRENT-FILAMENT FORMATION 195 4.6.1 TWO-DIMENSIONAL GEOMETRIES WITH POINT CONTACTS 195 4.6.2 THE NASCENCE OF CURRENT FILAMENTS 196 4.6.3 FULLY DEVELOPED FILAMENTS 201 4.6.4 SAMPLES WITH INNER POINT CONTACTS 209 4.6.5 SPONTANEOUS SYMMETRY BREAKING IN CORBINO DISKS 213 CHAPTER 5 NONLINEAR CARRIER DYNAMICS IN CROSSED ELECTRIC AND MAGNETIC FIELDS 220 5.1 INTRODUCTION 220 5.2 THE DYNAMIC HALL EFFECT 222 5.2.1 CONSTITUTIVE MODEL EQUATIONS 222 5.2.2 LINEAR STABILITY ANALYSIS 226 5.2.3 CHAOTIC HALL INSTABILITY WITH POSITIVE DIFFERENTIAL CONDUCTIVITY 228 5.2.4 THE INTERMITTENCY ROUTE TO CHAOS 229 5.2.5 CHAOTIC HALL INSTABILITY WITH NEGATIVE DIFFERENTIAL CONDUCTIVITY 231 5.3 CHAOS CONTROL 233 5.3.1 STABILIZING UNSTABLE ORBITS BY DELAYED FEEDBACK CONTROL 235 5.3.2 THE TUNABLE SEMICONDUCTOR OSCILLATOR 237 5.4 TRANSVERSE MOTION OF CURRENT FILAMENTS 242 5.4.1 LATERALLY TRAVELING FILAMENTS 242 CONTENTS 5.4.2 CHAOTIC TRANSVERSE MOTION 247 5.5 DEFORMATION OF CURRENT FILAMENTS IN POINT-CONTACT SAMPLES 250 5.5.1 THE NASCENCE OF BENT FILAMENTS 251 5.5.2 LORENTZ-FORCE EFFECTS 253 5.5.3 MAGNETIC-FIELD-INDUCED DISTORTION OF FILAMENTS 260 CHAPTER 6 STATIONARY AND OSCILLATING DOMAINS IN SUPERLATTICES 262 6.1 INTRODUCTION 262 6.2 HIGH-FIELD DOMAINS 263 6.2.1 A SEQUENTIAL RESONANT-TUNNELING MODEL 263 6.2.2 THE EQUAL-AREAS RULE FOR DOMAINS IN SUPERLATTICES 268 6.2.3 MULTISTABLE CURRENT-VOLTAGE CHARACTERISTICS OF IMPERFECT SUPERLATTICES 270 6.3 SELF-SUSTAINED OSCILLATIONS 276 6.3.1 BIFURCATION SCENARIOS OF SPATIO-TEMPORAL PATTERNS 277 6.3.2 EFFECTS OF FLUCTUATIONS IN DOPING ON OSCILLATIONS 28 0 6.4 THE DYNAMICS OF DOMAIN FORMATION 285 6.4.1 WELL-TO-WELL HOPPING OF THE DOMAIN BOUNDARY 286 6.4.2 INFLUENCES OF THE BARRIER WIDTH AND DOPING DENSITY 289 CHAPTER 7 SPATIO-TEMPORAL CHAOS 290 7.1 INTRODUCTION 290 7.2 SPATIO-TEMPORAL SPIKING IN LAYERED STRUCTURES 290 7.2.1 A GLOBALLY COUPLED REACTION-DIFFUSION MODEL 291 7.2.2 ELEMENTARY SPATIO-TEMPORAL PATTERNS 295 7.2.3 CHAOTIC BIFURCATION SCENARIOS 300 7.2.4 COMPARISON WITH EXPERIMENTS 308 7.2.5 CHAOS CONTROL 317 7.3 TRANSIENT SPATIO-TEMPORAL CHAOS 332 7.3.1 MULTIPLE SPIKING IN A LOCALLY COUPLED REACTION-DIFFUSION MODEL 332 7.3.2 SPREADING OF LOCALIZED PERTURBATIONS 341 7.3.3 THE CODIMENSION-TWO TURING-HOPF BIFURCATION 342 7.3.4 THE KARHUNEN-LOEVE DECOMPOSITION OF SPATIO-TEMPORAL MODES 353 7.3.5 LOCAL CHARACTERIZATION OF EXTENSIVE CHAOS 361 REFERENCES 371 INDEX 403
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spelling	Schöll, Eckehard 1951- Verfasser (DE-588)11019019X aut Nonlinear spatio-temporal dynamics and chaos in semiconductors Eckehard Schöll (Technische Universität Berlin) 1. published Cambridge [u.a.] Cambridge University Press 2001 XIII, 406 Seiten Illustrationen, Diagramme txt rdacontent n rdamedia nc rdacarrier Cambridge nonlinear science series 10 Chaos Porteurs chauds Semiconducteurs Théories non linéaires Transport, Théorie du Chaotic behavior in systems Hot carriers Nonlinear theories Semiconductors Transport theory Ladungstransport (DE-588)4166400-0 gnd rswk-swf Halbleiter (DE-588)4022993-2 gnd rswk-swf Nichtlinearer Prozess (DE-588)4304582-0 gnd rswk-swf Chaos (DE-588)4191419-3 gnd rswk-swf Musterbildung (DE-588)4137934-2 gnd rswk-swf Halbleiter (DE-588)4022993-2 s Nichtlinearer Prozess (DE-588)4304582-0 s Ladungstransport (DE-588)4166400-0 s Chaos (DE-588)4191419-3 s Musterbildung (DE-588)4137934-2 s DE-604 Cambridge nonlinear science series 10 (DE-604)BV004573757 10 GBV Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=009173388&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis
spellingShingle	Schöll, Eckehard 1951- Nonlinear spatio-temporal dynamics and chaos in semiconductors Cambridge nonlinear science series Chaos Porteurs chauds Semiconducteurs Théories non linéaires Transport, Théorie du Chaotic behavior in systems Hot carriers Nonlinear theories Semiconductors Transport theory Ladungstransport (DE-588)4166400-0 gnd Halbleiter (DE-588)4022993-2 gnd Nichtlinearer Prozess (DE-588)4304582-0 gnd Chaos (DE-588)4191419-3 gnd Musterbildung (DE-588)4137934-2 gnd
subject_GND	(DE-588)4166400-0 (DE-588)4022993-2 (DE-588)4304582-0 (DE-588)4191419-3 (DE-588)4137934-2
title	Nonlinear spatio-temporal dynamics and chaos in semiconductors
title_auth	Nonlinear spatio-temporal dynamics and chaos in semiconductors
title_exact_search	Nonlinear spatio-temporal dynamics and chaos in semiconductors
title_full	Nonlinear spatio-temporal dynamics and chaos in semiconductors Eckehard Schöll (Technische Universität Berlin)
title_fullStr	Nonlinear spatio-temporal dynamics and chaos in semiconductors Eckehard Schöll (Technische Universität Berlin)
title_full_unstemmed	Nonlinear spatio-temporal dynamics and chaos in semiconductors Eckehard Schöll (Technische Universität Berlin)
title_short	Nonlinear spatio-temporal dynamics and chaos in semiconductors
title_sort	nonlinear spatio temporal dynamics and chaos in semiconductors
topic	Chaos Porteurs chauds Semiconducteurs Théories non linéaires Transport, Théorie du Chaotic behavior in systems Hot carriers Nonlinear theories Semiconductors Transport theory Ladungstransport (DE-588)4166400-0 gnd Halbleiter (DE-588)4022993-2 gnd Nichtlinearer Prozess (DE-588)4304582-0 gnd Chaos (DE-588)4191419-3 gnd Musterbildung (DE-588)4137934-2 gnd
topic_facet	Chaos Porteurs chauds Semiconducteurs Théories non linéaires Transport, Théorie du Chaotic behavior in systems Hot carriers Nonlinear theories Semiconductors Transport theory Ladungstransport Halbleiter Nichtlinearer Prozess Musterbildung
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