EAN: 9783319069494

THEORY OF LIQUIDS AND OTHER DISORDERED MEDIA - ...

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.

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