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OverviewEffective medium theory arises in condensed matter physics when a field in a material medium is to be considered. The subject has been developed considerably and while the results are useful for predicting materials performance, the theory can also be used in a wide range of problems in physics and engineering. This book develops the topic of effective medium theory by bringing together the essentials of both the static and the dynamical theory. Electromagnetic systems are thoroughly dealt with, as well as related areas such as the CPA theory of alloys, liquids, the density functional theory and others, and the unifying aspects of the effective medium concept are emphasized. The final chapter contains a wide range of useful applications in condensed matter physics and material science. Full Product DetailsAuthor: Tuck C. ChoyPublisher: Oxford University Press Imprint: Oxford University Press Volume: No.102 Dimensions: Width: 15.90cm , Height: 1.50cm , Length: 24.10cm Weight: 0.408kg ISBN: 9780198518921ISBN 10: 0198518927 Pages: 192 Publication Date: 01 August 1999 Audience: Professional and scholarly , Professional & Vocational Format: Hardback Publisher's Status: Active Availability: To order  Stock availability from the supplier is unknown. We will order it for you and ship this item to you once it is received by us. Table of Contents1. Essentials ; 1.1 Lorentz field ; 1.2 Clausius-Mossotti ; 1.3 Maxwell-Garnett ; 1.4 Bruggeman ; 1.5 Green's functions formulation ; 1.6 Summary and equivalence ; 2. Rigorous results ; 2.1 Introduction ; 2.2 Variational bounds ; 2.3 The concentric shell model ; 2.4 Spectral representation ; 2.5 Exactly soluble models ; 2.6 Reciprocity theorems ; 3. Dynamical theory ; 3.1 Introduction ; 3.2 Review ; 3.3 Macroscopic electrodynamics ; 3.4 Quasi-static regime ; 3.5 Displacement current and wave scattering ; 3.6 Mie scattering ; 3.7 Dynamical effective medium theory ; 3.8 Open problems ; 4. Limitations and beyond ; 4.1 Introductory remarks ; 4.2 Higher order terms ; 4.3 Percolation and criticality ; 4.4 Mie resonances ; 4.5 Multiple scattering ; 4.6 Competing interactions ; 4.7 Two body effective medium ; 4.8 Non-equilibrium ; 5. Related theories ; 5.1 Comments ; 5.2 Coherent potential approximation ; 5.3 Feynman diagrams ; 5.4 Localization of light ; 5.5 Classical theory of liquids ; 5.6 Density functional theories ; 5.7 Hubbard model, CPA and DFT ; 5.8 Summary ; 6. EMT applications ; 6.1 Introduction ; 6.2 Electric and magnetic properties ; 6.3 Optical properties ; 6.4 Granular high Tc superconductors ; 6.5 Hydrodynamics of suspensions ; 6.6 Mechanical properties ; 6.7 Nonlinear composites ; 6.8 Conclusions ; Appendices ; A.1 Stationery properties of UP and UR ; A.2 Evaluation of the last term in equation (2.18)ReviewsAuthor InformationTab Content 6Author Website:Countries AvailableAll regions |
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