Some Problems In The Theory Of Quasiconformal Mappings

"Soft matter" was first pointed out in 1991 by Pierre - Gilles de Gennes in his Nobel prize lecture, instead of the "complex fluids" which prefer to call by Americans. And later "soft condensed matter" was also used in some magzines , this subject based on physics, chemical and biology , studis mainly the state between solid and liquid,including liquid crystals, polymers,surfactant,membrane,colloid,solutions, foam,particle medium, and living system, and it indeed becomes one of the frontier of condensed matter physics in 21st century.This thesis aims mainly at three theoretical problems in soft condensed matter physics, including the stripe phase ground state in ferrofiuids,shear-induced behaior in a solution of cylindrical micelles,and statitic rule about rings structure of magnet-ical ball system,we gave a primary study using theoretical and computer simulation method.This thesis is composed of the following four chapters:Chapter one, Preface. This chapter devoted to exposition of the "soft condensed matter" and the mainly studied areas. Chapter two begain to show the study on stripe phase of ferrofluids. During the first foreword section we give some review of earlier experimental results and some theoretical explains; The second section talks about the rationality of simplify the system using dipole fluids; The third section discussed the characteristics of stripe phase of the system's base state, and give a brief compare with the experiment results. Chapter three studied about the shear-induced behavior of living micelle solutions. The first section is the foreword, which give a brief report of the main charactristic of this system; The second section introduced the small angle neutron scattering experiment method, and the using in living micelle solutions; The third section intrduced the Levenberg-Marquart leaset square method used in our study; The fourth section concentrated on the studies about the effective viscosity and the parameters of the size of cylindrical micelles. Chapter four devoted to the study on rings structure of magnetic particles and their statistic rule. Section one is the foreword, gives a brief review about earlier experiment results, and pointed out a statistic rule in them; Section two presents the eperiment details; section three give a theoretical analysis of the rule, and forword with a MD+SD simulations, which...