Effects of structure and dynamics on the macroscopic physical properties of composite media.

Lo Chi-keung.Thesis (M.Phil.)--Chinese University of Hong Kong, 2002.Includes bibliographical references (leaves 69-72).Abstracts in English and Chinese.Chapter 1 --- Introduction --- p.1Chapter 1.1 --- What is an electrorheological fluid? --- p.1Chapter 1.2 --- Overview of recent theoretical studies on ER fluids --- p.2Chapter 1.3 --- Objectives of the thesis --- p.4Chapter 2 --- Review of some established macroscopic concepts --- p.8Chapter 2.1 --- Local field and depolarization tensor --- p.8Chapter 2.2 --- Clausius-Mossotti equation --- p.10Chapter 3 --- Ewald-Kornfeld formulation and effects of geometric anisotropy on local field distribution --- p.12Chapter 3.1 --- The development of the Ewald-Kornfeld method --- p.12Chapter 3.2 --- General Ewald-Kornfeld Formalism - point dipole approximation --- p.13Chapter 3.3 --- Ewald-Kornfeld Formalism - tetragonal lattice of point dipoles --- p.14Chapter 3.4 --- Numerical Results --- p.16Chapter 3.5 --- Contact with macroscopic concepts --- p.18Chapter 3.5.1 --- Generalized Clausius-Mossotti equation --- p.18Chapter 3.5.2 --- Onsager reaction field --- p.19Chapter 3.6 --- Figures --- p.22Chapter 4 --- Field-induced structure transformation in ER solid --- p.24Chapter 4.1 --- Ewald-Kornfeld Formalism - body-centered tetragonal lattice --- p.25Chapter 4.2 --- Effects of structure transformation on the local field --- p.27Chapter 4.3 --- Structure transformation via rotating electric fields --- p.28Chapter 4.4 --- Competitions between FCC and HCP --- p.30Chapter 4.5 --- Figures --- p.31Chapter 5 --- Geometric anisotropy from distortive lattices: ferrodistortive and antidistortive systems --- p.34Chapter 5.1 --- Ferrodistortive lattice --- p.35Chapter 5.1.1 --- Sublattice interaction tensors --- p.36Chapter 5.1.2 --- Effective polarizability and Clausius-Mossotti equation --- p.37Chapter 5.2 --- Antidistortive lattice --- p.39Chapter 5.2.1 --- Sublattice interaction tensors --- p.40Chapter 5.2.2 --- Sublattice dipole moments --- p.41Chapter 5.2.3 --- Effective polarizability and polarization catastrophe --- p.43Chapter 5.2.4 --- Depolarization field --- p.44Chapter 5.3 --- Experimental realization - colloidal self-assembly --- p.45Chapter 5.4 --- Figures --- p.46Chapter 6 --- Discussion and conclusion --- p.52Chapter 6.1 --- Discussion on our work and possible future extension --- p.52Chapter 6.2 --- Conclusion --- p.54Chapter A --- Piezoelectric coefficients by Ewald-Kornfeld formulation --- p.57Chapter B --- Alternative formulation for Ewald-Kornfeld formulation by di- rect calculations of the dipole interaction tensor --- p.59Chapter C --- Ewald-multipole formulation --- p.63Chapter C.1 --- Multipole fields --- p.64Chapter C.2 --- Coupled dipole-quadrupole lattice --- p.66Bibliography --- p.6