<p><span>This open access book presents a comprehensive exploration of diffusion metamaterials that control energy and mass diffusion. Currently, if from the perspective of governing equations, diffusion metamaterials and wave metamaterials (pioneered by J. B. Pendry in the 1990s) are recognised as
Diffusionics: Diffusion Process Controlled by Diffusion Metamaterials
✍ Scribed by Fu-Bao Yang, Ji-Ping Huang
- Publisher
- Springer
- Year
- 2024
- Tongue
- English
- Leaves
- 348
- Edition
- 2024
- Category
- Library
No coin nor oath required. For personal study only.
✦ Synopsis
This open access book presents a comprehensive exploration of diffusion metamaterials that control energy and mass diffusion. Currently, if from the perspective of governing equations, diffusion metamaterials and wave metamaterials (pioneered by J. B. Pendry in the 1990s) are recognised as the two most prominent branches in the field of metamaterials. These two branches differ in their emphasis on the diffusion equation (as the governing equation) and time-dependent characteristic lengths in diffusion metamaterials, as opposed to the wave equation (as the governing equation) and time-independent characteristic lengths in wave metamaterials. Organized into three distinct parts – 'Thermal Diffusion Metamaterials', 'Particle Diffusion Metamaterials', and 'Plasma Diffusion Metamaterials' – this book offers a rigorous exploration spanning physics, engineering, and materials science, aimed at advancing our understanding of diffusion processes controlled by diffusion metamaterials. Incorporating foundational theory, computational simulations, and laboratory experiments, the book equips researchers and scholars across these disciplines with comprehensive methods, insights, and results pivotal to the advancement of diffusion control. Beyond facilitating interdisciplinary discourse, the book serves as a catalyst for innovative breakthroughs at the crossroads of physics, thermodynamics, and materials science. Essentially, readers will acquire profound insights that empower them to spearhead advancements in diffusion science (diffusionics) and the engineering of metamaterials.
✦ Table of Contents
Preface
References
Contents
1 Diffusionics: Basic Theory and Theoretical Framework
1.1 Opening Remarks
1.2 Transformation Theory
1.2.1 Foundation Framework
1.2.2 Mapping Application
1.2.3 Extension to Other Diffusion Fields
1.3 Effective Medium Theory
1.3.1 Classical Effective Medium Approximation Theories
1.3.2 Model Application
1.4 Scattering Cancellation Theory
1.4.1 Passive Scheme: No External Energy Input
1.4.2 Active Scheme: External Energy Input
1.5 Special Theories
1.5.1 Topology-Related Theory: Geometric Phases and Edge State
1.5.2 The Bloch Series Expansion Method
1.6 Conclusion and Outlook
References
2 Diffusion Metamaterials: Basic Simulation Methods
2.1 Opening Remarks
2.2 Finite-Element Simulation
2.3 Particle Swarm Optimization
2.4 Topology Optimization
2.5 Machine Learning
2.6 Outlook
References
3 Diffusion Metamaterials: Basic Experimental Methods
3.1 Opening Remarks
3.2 Passive Artificial Metamaterials Like Composites and Layered Structures
3.3 Adaptive Metamaterials with External Field-Dependent Response
3.4 Active Controllable Metamaterials
3.5 Conclusions and Outlook
References
Part I Metamaterials for Thermal Diffusion: Thermal Conduction
4 Transformation Thermotics and Effective Medium Theory for Thermal Conduction
4.1 Opening Remarks
4.2 Transformation Thermotics for Thermal Conduction
4.2.1 Basic Theory
4.2.2 Application
4.3 Effective Medium Theory for Thermal Conduction
4.3.1 Linearization Theory and Structure
4.3.2 Nonlinearization Theory
4.3.3 Heat Source Theory
4.4 Conclusion
References
5 Unveiling the Thermal Cloak: A Journey from Theoretical Foundations to Cutting-Edge Applications
5.1 Opening Remarks
5.2 Foundations of Theory: The Pillars of Thermal Invisibility
5.2.1 Transformation Theory: The Key to Controlling Heat Flow
5.2.2 Scattering Cancellation: A Streamlined Approach for Implementation
5.2.3 Topology Optimization: Crafting Thermal Cloaks for Every Shape
5.3 From Blueprint to Reality: Advancements in Thermal Cloaking Technology
5.3.1 The Revolutionary Thermal Carpet Cloak: Concealment on Surfaces
5.3.2 ITR-Free Thermal Cloak: Overcoming Interface Thermal Resistance
5.3.3 The Thermal Dome: A New Horizon in Thermal Shielding
5.4 Conclusion and Outlook
References
6 Spatial and Temporal Modulation of Thermoelectric Metamaterials
6.1 Opening Remarks
6.2 Space-Regulated Thermoelectric Metamaterials
6.2.1 Decoupled Transformation Thermoelectrics
6.2.2 Coupled Transformation Thermoelectrics
6.2.3 Temperature-Dependent Transformation Thermoelectrics
6.2.4 Functional Realization of Thermal and Electric Fields
6.3 Spatiotemporal Thermoelectric Metamaterials
6.3.1 Spatiotemporal Efficient Medium Theory
6.3.2 Multi-functional Regulation of Thermal and Electric Field
6.4 Conclusions and Outlook
References
Part II Metamaterials for Thermal Diffusion: Thermal Conduction and Convection
7 Convective Heat Transfer in Porous Materials
7.1 Opening Remarks
7.2 Steady-State Transformation Thermo-Hydrodynamics
7.3 Transient-State Transformation Thermo-Hydrodynamics
7.4 Potential Applications
7.5 Experiment of Steady-State Transformation Thermo-Hydrodynamics
7.6 Discussion and Conclusion
References
8 Non-Hermitian Physics and Topological Phenomena in Convective Thermal Metamaterials
8.1 Opening Remarks
8.2 Non-Hermitian Physics in Convective Thermal Metamaterials: The Implementation of EP
8.3 Non-Hermitian Physics in Convective Thermal Metamaterials: The Extension of EP
8.4 Topological Phenomena in Convective Thermal Metamaterials
8.5 Conclusion and Outlook
References
9 Beyond Traditional Thermal Convection: Spatiotemporal Modulation in Metamaterials
9.1 Opening Remarks
9.2 Mechanism and Development of Spatiotemporal Modulation
9.3 Spatiotemporal Thermal Modulation
9.3.1 Tunable Thermal Wave Nonreciprocity by Spatiotemporal Modulation
9.3.2 Theory for Diffusive Fizeau Drag: Willis Coupling
9.3.3 Application
9.4 Conclusion and Outlook
References
10 Thermal Metamaterials for Temperature Maintenance: From Advances in Heat Conduction to Future Convection Prospects
10.1 Opening Remarks
10.2 Developments in Conduction Heat Transfer System
10.2.1 Energy-Free Thermostat
10.2.2 Negative-Energy Thermostat
10.2.3 Multi-temperature Maintenance Container
10.3 Prospects for Convection Heat Transfer System
10.4 Conclusion
References
Part III Metamaterials for Thermal Diffusion: Thermal Conduction and Radiation
11 Radiative Metamaterials Based on Effective-Medium Theory
11.1 Opening Remarks
11.2 Effective-Medium Theory Under Rosseland Approximation
11.3 Potential Applications of Radiative Metamaterials: Thermal Camouflage and Radiative Cooler
11.4 Outlook: Radiative Metamaterials from Microscopic View
References
12 Diffusion Approximation and Metamaterial Design of Thermal Radiation
12.1 Opening Remarks
12.2 Theory of Transformation Thermal Radiation under Rosseland Diffusion Approximation
12.2.1 Derivation of Rosseland Diffusion Approximation
12.2.2 Transformation Theory of Thermal Radiation
12.2.3 Thermal Camouflage with Transformation Theory
12.3 Metamaterial Design of Far-Field and Near-Field Thermal Radiation Beyond Transformation Theory
12.3.1 Far-Field Thermal Radiation
12.3.2 Near-Field Thermal Radiation
12.4 Conclusion and Outlook
References
Part IV Metamaterials for Thermal Diffusion: Thermal Conduction, Convection, and Radiation
13 Fundamental Methods and Design Paradigm for Omnithermotics
13.1 Opening Remarks
13.2 Transformation Omnithermotics
13.3 Effective Medium Theory for Omnithermotics
13.3.1 Omnithermal Restructurable Metasurfaces
13.3.2 Omnithermal Metamaterials with Switchable Function
13.4 Other Artificially Designed Structures
13.4.1 Radiative Cooling
13.4.2 Engineered Cellular Solids
13.5 Conclusion and Application
References
14 Omnithermal Metamaterials: Mastering Diverse Heat Transfer Modes
14.1 Opening Remarks
14.2 Omnithermal Metamaterials Based on Transformation Theory
14.2.1 Theory of Transformation Omnithermotics
14.2.2 Applications of Omnithermal Metamaterials Based on Transformation Theory
14.3 Omnithermal Metamaterials Based on Effective Medium Theory
14.4 Challenges and Prospects of Transformation Omnithermotics
14.5 Conclusion
References
15 Omnithermal Metamaterials: Designing Universally Thermo-Adjustable Metasurfaces
15.1 Opening Remarks
15.2 Theoretical Framework of Universally Thermo-Adjustable Metasurfaces
15.3 Finite-Element Simulation for Creating Infrared-Light Illusion and Visible-Light Similarity
15.4 Experimental Verification Using Cavity Effects
15.5 Discussion and Application of Universally Thermo-Adjustable Metasurfaces
15.6 Conclusion
References
Part V Metamaterials for Particle Diffusion
16 Geometric Phases in Particle Diffusion with Non-Hermitian Hamiltonian Structures
16.1 Opening Remarks
16.2 Theory and Structures for Particle Diffusion with a Non-Hermitian Hamiltonian H
16.3 Numerical Simulations of Eigenstate Evolution and Geometric Phase
16.4 Bilayer Particle-Diffusion Cloak: Design and Applications
16.5 Conclusion
References
17 Particle Diffusion Process with Artificial Control: Diffusion Metamaterials
17.1 Opening Remarks
17.2 Quasi-equilibrium Diffusion Model
17.2.1 General Transformation Theory
17.2.2 Scattering Cancellation Theory
17.2.3 Transformation-Invariant Scheme
17.3 Non-equilibrium Diffusion Model
17.3.1 Theoretical Foundation
17.3.2 Model Application
17.3.3 Finite-Element Simulation
17.4 Conclusion and Outlook
References
Part VI Metamaterials for Plasma Diffusion
18 Diffusion Metamaterials for Plasma Transport
18.1 Opening Remarks
18.2 Transformation Theory for Plasma Transport
18.2.1 For Steady-State Plasma Transport
18.2.2 For Transient-State Plasma Transport
18.3 Potential Applications for Transformation-Based Plasma Metamaterials
18.3.1 Cloak
18.3.2 Concentrator
18.3.3 Rotator
18.3.4 Simulation Verification
18.4 Potential Impacts for Novel Physics
18.5 Conclusion
References
19 Summary and Prospect
19.1 Summary
19.2 Prospect
References
📜 SIMILAR VOLUMES
<P>This book deals with the optimal control of solutions of fully observable Itô-type stochastic differential equations. The validity of the Bellman differential equation for payoff functions is proved and rules for optimal control strategies are developed.</P> <P>Topics include optimal stopping; o
<p><P>This book deals with the optimal control of solutions of fully observable Itô-type stochastic differential equations. The validity of the Bellman differential equation for payoff functions is proved and rules for optimal control strategies are developed.</P><P>Topics include optimal stopping;
The book deals with the existence, uniqueness, regularity, and asymptotic behavior of solutions to the initial value problem (Cauchy problem) and the initial-Dirichlet problem for a class of degenerate diffusions modeled on the porous medium type equation $u_t = \Delta u^m$, $m \geq 0$, $u \geq 0$.
This volume is the proceedings of the IMA workshop "Degenerate Diffusions" held at the University of Minnesota from May 13-May 18, 1991. The workshop consisted of two parts. The emphasis of the first four days was on current progress or new problems in nonlinear diffusions involving free boundaries