Effective Medium Theory: Principles and ApplicationsEffective 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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analogous approximation average Bergman boundary conditions bounds Bruggeman formula Bruggeman theory Chapter Clausius-Mossotti relation coefficients complex component composite correlation functions CPA theory curl defined density functional density functional theories derived dielectric constant dipole discuss dynamical effective medium theory eigenfunctions electric electrodynamics electromagnetic electronic energy example exponents fact Feynman diagrams fluid frequency generalised given in eqn grain Green's function Hamiltonian Hashin Helmholtz equation Hubbard model hydrodynamics inclusions known latter lattice limit localisation Lorentz macroscopic magnetic mathematical matrix Maxwell equations Maxwell-Garnett formula mean field theory Mie scattering multiple scattering non-linear obtained one-body parameter particles percolation permittivity Phys physics polarisation potential problem propagation properties quantum random reader relation scalar section 1.4 self-consistent shell model solution spectral function sphere spherical static superconducting tensor theorem two-body variational principle vector volume fraction wave YBCO