Theory of Liquids and Other Disordered Media: A Short Introduction (Lecture Notes in Physics Book 887)

This set of lectures provides an introduction to the structure, thermodynamics and dynamics of liquids, binary solutions and polymers at a level that will enable graduate students and non-specialist researchers to understand more specialized literature and to possibly start their own work in this field. Part I starts with the introduction of distribution functions, which describe the statistical arrangements of atoms or molecules in a simple liquid. The main concepts involve mean field theories like the Perkus-Yevick theory and the random phase approximation, which relate the forces to the distribution functions. In order to provide a concise, self-contained text, an understanding of the general statistical mechanics of an interacting many-body system is assumed. The fact that in a classic liquid the static and dynamic aspects of such a system can be discussed separately forms the basis of the two-fold structure of this approach. In order to allow polymer melts and solutions to be discussed, a short chapter acquaints readers with scaling concepts by discussing random walks and fractals. Part II of the lecture series is essentially devoted to the presentation of the dynamics of simple and complex liquids in terms of the generalized hydrodynamics concept, such as that introduced by Mori and Zwanzig. A special topic is a comprehensive introduction of the liquid-glass transition and its discussion in terms of a mode-coupling theory. Front Matter....Pages i-xiv Introduction....Pages 1-2 Front Matter....Pages 3-3 Structure of Liquids....Pages 5-22 Structure and Thermodynamics of Binary Mixtures (Solutions)....Pages 23-43 Random Walk and Diffusion....Pages 45-59 Fractals....Pages 61-74 Structure of Polymers....Pages 75-95 Front Matter....Pages 97-97 Time-Dependent Correlation and Response Functions....Pages 99-110 Collective Excitations in Simple Liquids....Pages 111-120 Diffusive Motion in Simple Liquids....Pages 121-126 Polymer Dynamics....Pages 127-137 Glass Transition and Glass Dynamics....Pages 139-156 Conclusions: Take-Home Messages....Pages 157-160 Back Matter....Pages 161-167