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1.

図書

図書
平凡社編
出版情報: 東京 : 平凡社, 2011.2  262p ; 43cm
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2.

図書

図書
Luis Álvarez-Gaumé, Miguel Á. Vázquez-Mozo
出版情報: Berlin : Springer, c2012  xi, 294 p. ; 24 cm
シリーズ名: Lecture notes in physics ; v. 839
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図書

図書
Andrea Bonfiglioli, Roberta Fulci
出版情報: Berlin : Springer, c2012  xxii, 539 p. ; 24 cm
シリーズ名: Lecture notes in mathematics ; 2034
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図書

図書
Wilhelm Zwerger, editer
出版情報: Berlin : Springer, c2012  xvi, 532 p. ; 24 cm
シリーズ名: Lecture notes in physics ; v. 836
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5.

図書

図書
Roland Tóth
出版情報: Berlin : Springer, c2010  xxiv, 319 p. ; 24 cm
シリーズ名: Lecture notes in control and information sciences ; 403
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Introduction / 1:
New Challenges for System Identification / 1.1:
The Birth of LPV Systems / 1.2:
The Present State of LPV Identification / 1.3:
The Identification Cycle / 1.3.1:
General Picture of LPV Identification / 1.3.2:
LPV-Io Representation Based Methods / 1.3.3:
LPV-SS Representation Based Methods / 1.3.4:
Similarity to Other System Classes / 1.3.5:
Challenges and Open Problems / 1.4:
Perspectives of Orthonormal Basis Function Models / 1.5:
The Gain-Scheduling Perspective / 1.5.1:
The Global Identification Perspective / 1.5.2:
Approximation via OBF Structures / 1.5.3:
The Goal of the Book / 1.6:
Overview of Contents / 1.7:
LTI System Identification and the Role of OBFs / 2:
The Concept of Orthonormal Basis Functions / 2.1:
Signal Spaces and Inner Functions / 2.2:
General Class of Orthonormal Basis Functions / 2.3:
Takenaka-Malmquist Basis / 2.3.1:
Hambo Basis / 2.3.2:
Kautz Basis / 2.3.3:
Laguerre Basis / 2.3.4:
Pulse Basis / 2.3.5:
Orthonormal Basis Functions of MIMO Systems / 2.3.6:
Basis Functions in Continuous-Time / 2.3.7:
Modeling and Identification of LTI Systems / 2.4:
The Identification Setting / 2.4.1:
Model Structures / 2.4.2:
Properties / 2.4.3:
Linear Regression / 2.4.4:
Identification with OBFs / 2.4.5:
Pole Uncertainty of Model Estimates / 2.4.6:
Validation in the Prediction-Error Setting / 2.4.7:
The Kolmogorov n-Width Theory / 2.5:
Conclusions / 2.6:
LPV Systems and Representations / 3:
General Class of LPV Systems / 3.1:
Parameter Varying Dynamical Systems / 3.1.1:
Representations of Continuous-Time LPV Systems / 3.1.2:
Representations of Discrete-Time LPV Systems / 3.1.3:
Equivalence Classes and Relations / 3.2:
Equivalent Kernel Representations / 3.2.1:
Equivalent IO Representations / 3.2.2:
Equivalent State-Space Representations / 3.2.3:
Properties of LPV Systems and Representations / 3.3:
State-Observability and Reachability / 3.3.1:
Stability of LPV Systems / 3.3.2:
Gramians of LPV State-Space Representations / 3.3.3:
LPV Equivalence Transformations / 3.4:
State-Space Canonical Forms / 4.1:
The Observability Canonical Form / 4.1.1:
Reachability Canonical Form / 4.1.2:
Companion Canonical Forms / 4.1.3:
Transpose of SS Representations / 4.1.4:
LTI vs. LPV State Transformation / 4.1.5:
From State-Space to the Input-Output Domain / 4.2:
From the Input-Output to the State-Space Domain / 4.3:
The Idea of Recursive State-Construction / 4.3.1:
Cut-and-Shift in Continuous-Time / 4.3.2:
Cut-and-Shift in Discrete-Time / 4.3.3:
State-Maps and Polynomial Modules / 4.3.4:
State-Maps Based on Kernel Representations / 4.3.5:
State-Maps Based on Image-Representations / 4.3.6:
State-Construction in the MIMO Case / 4.3.7:
LPV Series-Expansion Representations / 4.4:
Relevance of Series-Expansion Representations / 5.1:
Impulse Response Representation of LPV Systems / 5.2:
Filter Form of LPV-IO Representations / 5.2.1:
Series Expansion in the Pulse Basis / 5.2.2:
The Impulse Response Representation / 5.2.3:
LPV Series Expansion by OBFs / 5.3:
The OBF Expansion Representation / 5.4:
Series Expansions and Gain-Scheduling / 5.5:
The Role of Gain-Scheduling / 5.5.1:
Optimality of the Basis in the Frozen Sense / 5.5.2:
Optimality of the Basis in the Global Sense / 5.5.3:
Discretization of LPV Systems / 5.6:
The Importance of Discretization / 6.1:
Discretization of LPV System Representations / 6.2:
Discretization of State-Space Representations / 6.3:
Complete Method / 6.3.1:
Approximative State-Space Discretization Methods / 6.3.2:
Discretization Errors and Performance Criteria / 6.4:
Local Discretization Errors / 6.4.1:
Global Convergence and Preservation of Stability / 6.4.2:
Guaranteeing a Desired Level of Discretization Error / 6.4.3:
Switching Effects / 6.4.4:
Properties of the Discretization Approaches / 6.5:
Discretization and Dynamic Dependence / 6.6:
Numerical Example / 6.7:
LPV Modeling of Physical Systems / 6.8:
Towards Model Structure Selection / 7.1:
General Questions of LPV Modeling / 7.2:
Modeling of Nonlinear Systems in the LPV Framework / 7.3:
First Principle Models / 7.3.1:
Linearization Based Approximation Methods / 7.3.2:
Multiple Model Design Procedures / 7.3.3:
Substitution Based Transformation Methods / 7.3.4:
Automated Model Transformation / 7.3.5:
Summary of Existing Techniques / 7.3.6:
Translation of First Principle Models to LPV Systems / 7.4:
Problem Statement / 7.4.1:
The Transformation Algorithm / 7.4.2:
Handling Non-Factorizable Terms / 7.4.3:
Properties of the Transformation Procedure / 7.4.4:
Optimal Selection of OBFs / 7.5:
Perspectives of OBFs Selection / 8.1:
Kolmogorov n-Width Optimality in the Frozen Sense / 8.2:
The Fuzzy-Kolmogorov c-Max Clustering Approach / 8.3:
The Pole Clustering Algorithm / 8.3.1:
Properties of the FKcM / 8.3.2:
Simulation Example / 8.3.3:
Robust Extension of the FKcM Approach / 8.4:
Questions of Robustness / 8.4.1:
Basic Concepts of Hyperbolic Geometry / 8.4.2:
Pole Uncertainty Regions as Hyperbolic Objects / 8.4.3:
The Robust Pole Clustering Algorithm / 8.4.4:
Properties of the Robust FKcM / 8.4.5:
LPV Identification via OBFs / 8.4.6:
Aim and Motivation of an Alternative Approach / 9.1:
OBFs Based LPV Model Structures / 9.2:
The LPV Prediction-Error Framework / 9.2.1:
The Wiener and the Hammerstein OBF Models / 9.2.2:
Properties of Wiener and Hammerstein OBF Models / 9.2.3:
OBF Models vs. Other Model Structures / 9.2.4:
Identification of W-LPV and H-LPV OBF Models / 9.2.5:
Identification with Static Dependence / 9.3:
LPV Identification with Fixed OBFs / 9.3.1:
Local Approach / 9.3.3:
Global Approach / 9.3.4:
Examples / 9.3.5:
Approximation of Dynamic Dependence / 9.4:
Feedback-Based OBF Model Structures / 9.4.1:
Properties of Wiener and Hammerstein Feedback Models / 9.4.2:
Identification by Dynamic Dependence Approximation / 9.4.3:
Example / 9.4.4:
Extension towards MIMO Systems / 9.5:
Scalar Basis Functions / 9.5.1:
Multivariable Basis Functions / 9.5.2:
Multivariable Basis Functions in the Feedback Case / 9.5.3:
General Remarks on the MIMO Extension / 9.5.4:
Proofs / 9.6:
Proofs of Chapter 3 / A.1:
The Injective Cogenerator Property / A.1.1:
Existence of Full Row Rank KR Representation / A.1.2:
Elimination Property / A.1.3:
State-Kernel Form / A.1.4:
Left/Right-Side Unimodular Transformation / A.1.5:
Proofs of Chapter 5 / A.2:
LPV Series Expansion, Pulse Basis / A.2.1:
LPV Series Expansion, OBFs / A.2.2:
Proofs of Chapter 8 / A.3:
Optimal Partition / A.3.1:
h-Center Relation / A.3.2:
h-Segment Worst-Case Distance / A.3.4:
h-Disc Worst-Case Distance / A.3.6:
Convexity / A.3.7:
Optimal Robust Partition / A.3.8:
Proofs of Chapter 9 / A.4:
Representation of Dynamic Dependence / A.4.1:
References
Index
Introduction / 1:
New Challenges for System Identification / 1.1:
The Birth of LPV Systems / 1.2:
6.

図書

図書
Luigi del Re ... [et al.] (eds.)
出版情報: Berlin : Springer, c2010  xiii, 284 p. ; 24 cm
シリーズ名: Lecture notes in control and information sciences ; 402
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Chances and Challenges in Automotive Predictive Control / Luigi del Re ; Peter Ortner ; Daniel Alberer1:
Introduction: The Rationale / 1.1:
Alternatives for Modeling / 1.2:
First Principles Models / 1.2.1:
Data-only Models / 1.2.2:
Advanced Use of Data / 1.2.3:
Alternatives for Optimization / 1.3:
Basic Algorithmic Approaches / 1.3.1:
Coping with Nonlinearity / 1.3.2:
Chances: State and Outlook / 1.4:
Conclusions / 1.5:
References
Models / Part I:
On Board NOx Prediction in Diesel Engines: A Physical Approach / Jean Arrégle ; J. Javier López ; Carlos Guardiola ; B Christelle Monin2:
Introduction / 2.1:
Main Physical/Chemical Mechanisms of NOx Formation/Destruction / 2.2:
NOx Re-burning / 2.2.1:
NOx Formation in LTC Conditions / 2.2.2:
Mechanisms and Model Sensitivity / 2.3:
Structure of Physically-based NOx Models / 2.3.1:
Flame Temperature Determination / 2.3.2:
Input Parameters Accuracy / 2.4:
Intake Air Mass Flow Rate Accuracy / 2.4.1:
Air + EGR Mixture Temperature and Oxygen Fraction / 2.4.2:
Mean Value Engine Models Applied to Control System Design and Validation / Pierre Olivier Calendini ; Stefan Breuer2.5:
State of the Art Mean Value Engine Model / 3.1:
System Model Structure as a Response to the Requirements / 3.2:
Bond Graph Applied to Mean Value Engine Models / 3.2.1:
Naturally Aspirated and Turbocharged Engine in Bond Graph Structure / 3.2.2:
Basic Blocs for Building Mean Value Models / 3.3:
The Volume Bloc / 3.3.1:
The Gas Exchange Bloc / 3.3.2:
Heat Exchange Models / 3.3.3:
Combustion Model Possibilities / 3.3.4:
Environment Model / 3.3.5:
Application Example: Choice of an Air Loop Control Strategy / 3.4:
Implementation of the Robustness Simulation / 3.4.1:
Results of the Robustness Simulations / 3.4.2:
Physical Modeling of Turbocharged Engines and Parameter Identification / Lars Eriksson ; Johan Wahlström ; Markus Klein3.5:
MVEM Modeling / 4.1:
Library Development / 4.2.1:
Building Blocks: Component Models / 4.2.2:
The Engine Cylinders: Flow, Temperature, and Torque / 4.2.3:
Implementation Examples / 4.2.4:
Modeling of a Diesel Engine with EGR/VGT / 4.3:
Experimental Data / 4.3.1:
Minimum Number of States / 4.3.2:
Model Extensions / 4.3.3:
Gray-Box Models and Identification / 4.4:
Dynamic Engine Emission Models / Markus Hirsch ; Klaus Oppenauer4.5:
Data-based Model Identification / 5.1:
Mean Value Emission Model / 5.3:
Input Selection / 5.3.1:
Model Structure / 5.3.2:
Parameter Identification / 5.3.3:
Regressor Selection / 5.3.4:
Realization and Results / 5.3.5:
Crank Angle Based Emission Model / 5.4:
Workflow / 5.4.1:
1-zone Process Calculation / 5.4.2:
2-zone Model / 5.4.3:
Emission Models / 5.4.4:
Model Development and Verification / 5.4.5:
Data for Identification: Input Design / 5.5:
Limitations / 5.6:
Summary / 5.7:
Modeling and Model-based Control of Homogeneous Charge Compression Ignition (HCCI) Engine Dynamics / Rolf Johansson ; Per Tunestål ; Anders Widd6:
HCCI Modeling / 6.1:
Fuel Modeling / 6.2.1:
Auto-ignition Modeling / 6.2.2:
Thermal Modeling and Auto-ignition / 6.2.3:
Experiments / 6.3:
Model Predictive Control / 6.3.1:
Methods / 6.4:
An Overview of Nonlinear Model Predictive Control / Lalo Magni ; Riccardo Scattolini7:
Problem Formulation and State-feedback NMPC Control Law / 7.1:
Feasibility and Stability in Nominal Conditions / 7.2.1:
The Robustness Problem / 7.2.2:
Output Feedback and Tracking / 7.3:
Output Feedback / 7.3.1:
Tracking / 7.3.2:
Implementation Problems and Alternative Approaches / 7.4:
Optimal Control Using Pontryagin's Maximum Principle and Dynamic Programming / Bart Saerens ; Moritz Diehl ; Eric Van den Bulck8:
Optimal Control / 8.1:
Pontryagin's Maximum Principle / 8.2.1:
Dynamic Programming / 8.2.2:
Vehicle and Powertrain Model / 8.3:
Vehicle and Driveline Model / 8.3.1:
Engine Model / 8.3.2:
Minumum-fuel Acceleration with the Maximum Principle / 8.4:
Minumum-fuel Acceleration with Dynamic Programming / 8.5:
Discussion of the Results / 8.6:
Comparison between the Maximum Principle and Dynamic Programming / 8.6.1:
Comparison with Other Research / 8.6.2:
On the Use of Parameterized NMPC in Real-time Automotive Control / Mazen Alamir ; André Murilo ; Rachid Amari ; Paolina Tona ; Richard Fürhapter8.7:
The Parameterized NMPC: Definitions and Notation / 9.1:
Example 1: Diesel Engine Air Path Control / 9.3:
Example 2: Automated Manual Transmission Control / 9.4:
Conclusion / 9.5:
Applications / Part III:
An Application of MPC Starting Automotive Spark Ignition Engine in SICE Benchmark Problem / Akira Ohata ; Masaki Yamakita10:
Control Design Strategy in MBD / 10.1:
Benchmark Problem / 10.3:
Application of MPC / 10.4:
Model Predictive Control of Partially Premixed Combustion / Magnus Lewander10.5:
Experimental Setup / 11.1:
PPC Definition / 11.3:
Control / 11.4:
Control Design / 11.4.1:
Results / 11.5:
Response to EGR Disturbance / 11.5.1:
Response to Load Changes / 11.5.2:
Response to Speed Changes / 11.5.3:
Discussion / 11.6:
Model Predictive Powertrain Control: An Application to Idle Speed Regulation / Stefano Di Cairano ; Diana Yanakiev ; Alberto Bemporad ; Ilya Kolmanovsky ; Davor Hrovat11.7:
Engine Model for Idle Speed Control / 12.1:
Control-oriented Model and Controller Design / 12.3:
Controller Synthesis and Refinement / 12.4:
Feedback Law Synthesis and Functional Assessment / 12.4.1:
Prediction Model Refinement / 12.4.2:
Experimental Validation / 12.5:
On Low Complexity Predictive Approaches to Control of Autonomous Vehicles / Paolo Falcone ; Francesco Borrelli ; Eric H. Tseng12.6:
Introduction to Autonomous Guidance Systems / 13.1:
Vehicle Modeling / 13.2:
Low Complexity Predictive Path Following / 13.3:
Two Levels Autonomous Path Following / 13.3.1:
Single Level Autonomous Path Following / 13.3.2:
Toward a Systematic Design for Turbocharged Engine Control / Greg Stewart ; Jaroslav Pekar ; David Germann ; Daniel Pachner ; Dejan Kihas13.4:
Engine Control Requirements / 14.1:
Steady-state Engine Calibration / 14.2.1:
Control Functional Development / 14.2.2:
Functional Testing / 14.2.3:
Software Development / 14.2.4:
Integration / 14.2.5:
Calibration / 14.2.6:
Certification / 14.2.7:
Release and Post-release Support / 14.2.8:
Iteration Loops / 14.2.9:
Modeling and Control for Turbocharged Engines / 14.3:
Modeling / 14.3.1:
Model Predictive Control and Computational Complexity / 14.4:
Explicit Predictive Control / 14.4.1:
On the Complexity of Explicit MPC Control Laws / 14.4.2:
Summary and Conclusions / 14.5:
An Integrated LTV-MPC Lateral Vehicle Dynamics Control: Simulation Results / Giovanni Palmieri ; Osvaldo Barbarisi ; Stefano Scala ; Luigi Glielmo15:
Full Vehicle Model / 15.1:
Lateral Vehicle Dynamic Control Strategy / 15.3:
Reference Signals / 15.3.1:
Estimation of Tire Variables / 15.3.2:
Supervisor / 15.3.3:
An Alternative 2PI Regulator / 15.3.4:
A Reduced Model for Slip Control / 15.4:
A Slip Control Strategy / 15.5:
Feedback Action / 15.5.1:
Simulation Results / 15.6:
MIMO Model Predictive Control for Integral Gas Engines / Jakob Ängeby ; Matthias Huschenbett15.7:
System Description / 16.1:
Problem Statement / 16.3:
Implementation / 16.4:
Objective Function / 16.5.1:
Model Derivation / 16.5.2:
Real-time MPC / 16.6:
A Model Predictive Control Approach to Design a Parameterized Adaptive Cruise Control / Gerrit J.L. Naus ; Jeroen Ploeg ; M.J.G. Van de Molengraft ; W.P.M.H. Heemels ; Maarten Steinbuch16.8:
Problem Formulation / 17.1:
Quantification Measures / 17.2.1:
Parameterization / 17.2.2:
Model Predictive Control Problem Setup / 17.3:
Control Objectives and Constraints / 17.3.1:
Control Problem / Cost Criterion Formulation / 17.3.3:
Controller Design / 17.4:
Implementation Issues / 17.4.1:
Conclusions and Future Work / 17.4.3:
Author Index
Chances and Challenges in Automotive Predictive Control / Luigi del Re ; Peter Ortner ; Daniel Alberer1:
Introduction: The Rationale / 1.1:
Alternatives for Modeling / 1.2:
7.

図書

図書
Eleftherios Papantonopoulos, editor
出版情報: Berlin : Springer, c2011  xviii, 425 p. ; 24 cm
シリーズ名: Lecture notes in physics ; 828
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Introduction to the AdS/CFT Correspondence / Part I:
Introduction to Anti de Sitter Black Holes / 1:
Spacetimes of Constant Curvature / 1.1:
Spaces of Maximal Symmetry and Constant Curvature / 1.1.1:
Flat Spacetime / 1.1.2:
Anti de Sitter Spacetime / 1.1.3:
Static Black Holes / 1.2:
Basic Properties / 1.2.1:
Thermodynamics / 1.2.2:
Beyond Static Black Holes / 1.3:
References
Perturbations of Anti de Sitter Black Holes / 2:
Introduction / 2.1:
Perturbations / 2.2:
Scalar Perturbations / 2.2.1:
Gravitational Perturbations / 2.2.2:
Electromagnetic Perturbations / 2.2.3:
Hydrodynamics / 2.3:
Vector Perturbations / 2.3.1:
Tensor Perturbations / 2.3.2:
Hydrodynamics on the AdS boundary / 2.3.4:
Conformal Soliton Flow / 2.3.5:
Phase Transitions / 2.4:
K = 0 / 2.4.1:
K = -1 / 2.4.2:
Conclusion / 2.5:
CFTs / 3:
Conformal Algebra / 3.2.1:
Local Field Operators / 3.2.2:
Conformal Correlators / 3.2.3:
AdS/CFT Correspondence / 3.3:
AdS Geometry / 3.3.1:
Partition Function / 3.3.2:
Semi-classical Gravity Limit / 3.3.3:
Large N / 3.4:
SYM from D-Branes / 3.5:
D3-Brane Near Horizon Geometry / 3.5.2:
Strong/Weak Duality / 3.5.3:
Extensions / 3.6:
Holography and the AdS/CFT Correspondence / Part II:
Improved Holographic QCD / 4:
The 5D Model / 4.1:
Scheme Dependence / 4.3:
The Potential and the Parameters of the Model / 4.4:
The Normalization of the Coupling Constant ? / 4.4.1:
The AdS Scale l / 4.4.2:
The UV Expansion Coefficients of V(?) / 4.4.3:
The String Length / 4.4.4:
Integration Constants / 4.4.6:
Latent Heat and Equation of State / 4.5:
Glueball Spectrum / 4.5.2:
Critical Temperature / 4.5.3:
String Tension / 4.5.4:
CP-odd Sector / 4.5.5:
Coupling Normalization / 4.5.6:
Bulk Viscosity / 4.6:
The Holographic Computation / 4.6.1:
The Adiabatic Approximation / 4.6.2:
Buchel's Bound / 4.6.4:
The Drag Force on Strings and Heavy Quarks / 4.7:
The Drag Force / 4.7.1:
The Relativistic Asymptotics / 4.7.2:
The Non-relativistic Asymptotics / 4.7.3:
The Diffusion Time / 4.7.4:
Including the Correction to the Quark Mass / 4.7.5:
Temperature Matching and Diffusion Time Estimates / 4.7.6:
Jet Quenching Parameter / 4.8:
Discussion and Outlook / 4.9:
Drag Force / 4.9.1:
Diffusion Time / 4.9.3:
Jet Quenching / 4.9.4:
The Dynamics of Quark-Gluon Plasma and AdS/CFT / 5:
The AdS/CFT Correspondence / 5.1:
Effective Degrees of Freedom at Strong Coupling / 5.2.1:
Why study N = 4 Plasma? / 5.3:
The AdS/CFT for Studying Real-Time Dynamics of Plasma / 5.4:
Exact Analytical Examples / 5.4.1:
A Case Study: Static Uniform Plasma / 5.5.1:
A Case Study: A Planar Shock Wave / 5.5.2:
Boost-Invariant Flow / 5.6:
Large Proper Time Behaviour / 5.7:
The AdS/CFT Analysis / 5.7.1:
Perfect Fluid Geometry / 5.7.2:
Plasma Dynamics Beyond Perfect Fluid / 5.8:
Interlude: Hydrodynamics Redux / 5.9:
Plasma Dynamics Beyond Hydrodynamics / 5.10:
Dynamics at Small Proper Time / 5.11:
The Absence of a Scaling Variable / 5.11.1:
The Existence of a Regular Initial Condition / 5.11.2:
The Classification of Possible Initial Conditions / 5.11.3:
An Analysis of Some Aspects of the Small Proper Time Behaviour of ?(?) / 5.11.4:
Conclusions / 5.12:
Appendix
Fluid Dynamics from Gravity / 6:
Quantum Gravity / 6.1:
Universal Implications / 6.1.2:
QCD / 6.1.3:
Fluid Dynamics / 6.1.4:
Background / 6.2:
Conformal Fluid Dynamics / 6.2.1:
Gravity in the Bulk / 6.2.2:
Fluid/Gravity Map / 6.2.3:
Construction of Bulk Metric and Boundary Stress Tensor / 6.3:
0th Order / 6.3.1:
1st Order / 6.3.2:
Solution to Second Order / 6.4:
The Spacetime Geometry Dual to Fluids / 6.4.1:
Summary / 6.5:
The Gauge-Gravity Duality and Heavy Ion Collisions / 7:
The Wake of a Quark / 7.1:
Jet Correlations at RHIC / 7.1.1:
A Holographic Computation / 7.1.2:
Entropy Production / 7.2:
AdS/CFT on the Brane / 8:
Braneworlds in AdS Spacetime / 8.1:
RS Models / 8.2.1:
Cosmology / 8.2.2:
View from the Brane / 8.3:
Geometrical Holography / 8.3.1:
Does AdS/CFT Play Any Role in Braneworld? / 8.4:
Single-Brane Model / 8.4.1:
Two-Brane Model / 8.4.2:
Gradient Expansion Method / 8.5:
Single Brane Model (RS2) / 8.6:
Einstein Gravity at Lowest Order / 8.6.1:
AdS/CFT Emerges / 8.6.2:
Two-Brane Model (RS1) / 8.7:
Scalar-Tensor Theory Emerges / 8.7.1:
AdS/CFT in Two-Brane System? / 8.7.2:
The Answers / 8.8:
AdS/CFT in Dilatonic Braneworld / 8.8.1:
Dilatonic Braneworld / 8.9.1:
AdS/Radion Correspondence / 8.9.2:
AdS/CFT and KK Corrections: Single-Brane Cases / 8.9.3:
Condensed Matter and the AdS/CFT Correspondence / 8.10:
Condensed Matter and AdS/CFT / 9:
Model Systems and Their Critical Theories / 9.1:
Coupled Dimer Antiferromagnets / 9.2.1:
Deconfined Criticality / 9.2.2:
Graphene / 9.2.3:
Finite Temperature Crossovers / 9.3:
Quantum Critical Transport / 9.4:
Exact Results for Quantum Critical Transport / 9.5:
Hydrodynamic Theory / 9.6:
Relativistic Magnetohydrodynamics / 9.6.1:
Dyonic Black Hole / 9.6.2:
Results / 9.6.3:
d-wave Superconductors / 9.7:
Dirac Fermions / 9.7.1:
Time-Reversal Symmetry Breaking / 9.7.2:
Nematic Ordering / 9.7.3:
Metals / 9.8:
Field Theories / 9.8.1:
Symmetries / 9.8.2:
Scaling Theory / 9.8.3:
Large N Expansion / 9.8.4:
Introduction to Holographic Superconductors / 9.8.5:
Superconductivity / 10.1:
A Gravitational Dual / 10.2:
Probe Limit / 10.3:
Condensate / 10.3.1:
Conductivity / 10.3.2:
Full Solution with Backreaction / 10.4:
Reformulation of the Conductivity / 10.4.1:
Zero Temperature Limit / 10.5:
Adding Magnetic Fields / 10.5.1:
London Equation / 10.6.1:
Correlation Length / 10.6.2:
Vortices / 10.6.3:
Recent Developments / 10.7:
Conclusions and Open Problems / 10.8:
Open Problems / 10.8.1:
Flavor Superconductivity and Superfluidity / 11:
String Motivation / 11.1:
Condensed Matter Motivation / 11.1.2:
Superconductivity and Holography / 11.2:
Basics of Superconductivity and Our Field Theory Idea / 11.2.1:
Holographic Realization / 11.2.2:
Holographic Setup / 11.3:
Flavor from Intersecting Branes / 11.3.1:
Background and Brane Configuration / 11.3.2:
DBI Action and Equations of Motion / 11.3.3:
D-Brane Thermodynamics and Spectrum / 11.4:
Baryon Chemical Potential / 11.4.1:
Isospin Chemical Potential / 11.4.2:
Instabilities and the New Phase / 11.4.3:
Signatures of Super-Something / 11.5:
Thermodynamics of the Broken Phase / 11.5.1:
Fluctuations in the Broken Phase / 11.5.2:
Conductivity and Spectrum / 11.5.3:
Meissner-Ochsenfeld-Effect / 11.5.4:
Interpretation and Conclusion / 11.6:
String Theory Picture / 11.6.1:
Outlook / 11.6.2:
Holographic Torsion and the Prelude to Kalb-Ramond Superconductivity / 12:
Introduction and Summary of the Results / 12.1:
Torsion as the Non-trivial Magnetic Field of Gravity / 12.2:
Details on the the 3 + 1-Split Formalism / 12.2.1:
The Analog of ?-Angle in Gravity / 12.3.1:
Torsion and the Magnetic Field of Gravity / 12.3.2:
The Nieh-Yan Models / 12.4:
General Aspects / 12.4.1:
The 3 + 1-Split of the Pseudoscalar Nieh-Yan Model / 12.4.2:
The Torsion Domain Wall / 12.5:
The Gravity Dual of Parity Symmetry Breaking / 12.6:
Physics in the Bulk: The Superconductor Analogy / 12.7:
Torsion Domain Wall Versus Abrikosov Vortex / 12.7.1:
Domain Wall Condensation / 12.7.2:
Index / 12.8:
Introduction to the AdS/CFT Correspondence / Part I:
Introduction to Anti de Sitter Black Holes / 1:
Spacetimes of Constant Curvature / 1.1:
8.

図書

図書
Edward A. Spiegel, editor
出版情報: Dordrecht ; Heidelberg : Springer, c2011  xiii, 117 p. ; 24 cm
シリーズ名: Lecture notes in physics ; 810
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Prologue
The Turbulence Problem / 1:
The Meaning of 'Turbulence' / 1.1:
Two Fundamental Aspects of Turbulence / 1.2:
The Net Energy Balance / 2:
Interchange of Energy Between States of Motion / 3:
Some Remarks / 4:
On the Harmonic Analysis / 4.1:
On the Concept of Isotropy / 4.2:
On the Possiblity of a Universal Theory / 4.3:
The Spectrum of Turbulent Energy / 5:
The Spectrum / 5.1:
An Equation for the Spectrum / 5.2:
Some Preliminaries to the Development of a Theory of Turbulence / 6:
Heisenberg's Theory of Turbulence / 7:
The Fundamental Equation of the Theory / 7.1:
Chandrasekhar's Solution of (7.17) for the Case of Stationary Turbulence / 7.2:
Fermi's Approach / 8:
Kolmogorov's Theory / 8.2:
The Method of von Neumann / 8.3:
Conclusion / 8.4:
An Alternate Approach: Correlations / 9:
The Equations of Isotropic Turbulence / 10:
The Concept of Isotropy / 10.1:
Two More Examples / 10.2:
Solenoidal Isotropic Tensors / 10.3:
Further Manipulations / 10.3.1:
The Karman-Howarth Equations / 10.3.3:
The Meanings of the Defining Scalars / 12:
Some Results from the Karman-Howarth Equation / 13:
The Taylor Microscale / 13.1:
The Study of the Decay of Turbulence / 13.2:
The Connection Between the Karman-Howarth Equation and the Kolmogorov Theory / 13.3:
The Double Correlation / 13.3.1:
The Triple Correlation / 13.3.2:
The Relation Between the Fourth and Second Order Correlations When the Velocity Follows a Gaussian Distribution / 14:
Some Properties of the Gaussian Distribution / 14.1:
One-Dimensional Gaussian Distribution / 14.1.1:
n-Dimensional Gaussian Function / 14.1.2:
Two-Dimensional Gaussian Function / 14.1.3:
Addition Theorem for Gaussian Distributions / 14.2:
Proof of (14.2) / 14.3:
Chandrasekhar's Theory of Turbulence / 15:
A More Subjective Approach to the Derivation of Chandrasekhar's Equation / 16:
The Dimensionless Form of Chandrasekhar's Equation / 17:
Some Aspects and Advantages of the New Theory / 18:
A Mathematical Justification of the Assumptions of the Heisenberg Theory / 18.1:
Compatibility with the Kolmogorov Theory / 18.2:
The Problem of Introducing the Boundary Conditions / 19:
Discussion of the Case of Negligible Inertial Term / 20:
The Case in Which Viscosity Is Neglected / 21:
Solution of the Non-Viscous Case Near r = 0 / 22:
Solution of the Heat Equation / 23:
Solution of the Quasi-Wave Equation / 24:
The Introduction of Boundary Conditions / 25:
Epilogue
Prologue
The Turbulence Problem / 1:
The Meaning of 'Turbulence' / 1.1:
9.

図書

図書
Richard C. Powell
出版情報: New York : Springer, c2010  viii, 230 p. ; 24 cm
シリーズ名: Lecture notes in physics ; 824
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Symmetry in Solids / 1:
Symmetry / 1.1:
Crystal Structures / 1.2:
Symmetry in Reciprocal Space / 1.3:
Problems / 1.4:
References
Group Theory / 2:
Basic Concepts of Group Theory / 2.1:
Character Tables / 2.2:
Group Theory Examples / 2.3:
Group Theory in Quantum Mechanics / 2.3.1:
Tensor Properties of Crystals / 2.5:
First-Rank Matter Tensors / 3.1:
Second-Rank Matter Tensors / 3.2:
Third-Rank Matter Tensors / 3.3:
Fourth-Rank Matter Tensors / 3.4:
Symmetry Properties of Point Defects in Solids / 3.5:
Energy Levels of Free Ions / 4.1:
Crystal Field Symmetry / 4.2:
Energy Levels of Ions in Crystals / 4.3:
Example: d-Electrons / 4.4:
Example: f-Electrons / 4.5:
Symmetry and the Optical Properties of Crystals / 4.6:
Tensor Treatment of Polarization / 5.1:
Birefringence / 5.2:
Optical Activity / 5.3:
Electrooptical Effect / 5.4:
Photoelastic Effect / 5.5:
Nonlinear Optics / 5.6:
Basic Concepts / 6.1:
Effective Nonlinear Optical Coefficient / 6.2:
Index Matching / 6.3:
Maximizing SHG Efficiency / 6.4:
Two-Photon Absorption / 6.5:
Symmetry and Lattice Vibrations / 6.6:
Symmetry and Local Mode Vibrations / 7.1:
Symmetry and Lattice Vibrational Modes / 7.2:
Transitions Between Vibrational Energy Levels / 7.3:
Radiationless Transitions / 7.3.1:
Infrared Transitions / 7.3.2:
Raman Scattering / 7.4:
Jahn-Teller Effect / 7.5:
Symmetry and Electron Energy Levels / 7.6:
Symmetry and Molecular Bonds / 8.1:
Character Tables for Space Groups / 8.2:
Electron Energy Bands / 8.3:
Symmetry Properties of Electron Energy Bands / 8.4:
Index / 8.5:
Symmetry in Solids / 1:
Symmetry / 1.1:
Crystal Structures / 1.2:
10.

図書

図書
P. Kopietz, L. Bartosch, F. Schütz
出版情報: Berlin : Springer, c2010  xiv, 375 p. ; 25 cm
シリーズ名: Lecture notes in physics ; 798
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