Diffusionics: Diffusion Process Controlled by Diffusion Metamaterials

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