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9780198518921: Effective Medium Theory: No.102

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Effective 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.

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Contenuti

  • 1: 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)

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9780198518914: Effective Medium Theory: Principles and Applications

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ISBN 10:  0198518919 ISBN 13:  9780198518914
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Choy, Tuck C.
Editore: Oxford University Press, 1999
ISBN 10: 0198518927 ISBN 13: 9780198518921
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