LS Fuchs

Soft Condensed Matter

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Dense macromolecular fluids

January 8 to February 17 2002, Strasbourg

Already in the 19th century, van der Waals established that the local particle arrangements in dense fluids are dominated by short range steric repulsions. They have far reaching consequences, ranging from the incompressibility of liquids, to crystalline ordering of hard particles, and to jamming and glassiness in disordered fluids; in biology, one speaks of crowding in the dense cell environment. The theoretical description of these correlation effects has proven difficult because the local packing enters crucially and prevents simple coarse-graining.
Yet, modern liquid theory has developed approximation schemes able to handle the strong steric constraints and has led to insights into the mentioned phenomena. A short introduction to some of the pertinent approaches and techniques shall be given for non-specialists. Macromolecular fluids, like colloidal dispersions or polymer solutions and melts, shall be considered as model systems because experiments have provided a wealth of information about them.

List of topics:
Ornstein-Zernike approaches to dense hard sphere fluids
Density functional theory of crystallisation
Macromolecular Ornstein-Zernike approach to intermolecular packing
Mode coupling theory of structural arrest (glass transition)
Dynamic mean field spin glass models

 

Hydrodynamic fluctuations

Autumn Term 2000, University of Edinburgh

  1. Introductory examples
  2. Linear response and Zwanzig-Mori projections
    From Newton's (Schrödinger's) equations to coarse grained dissipative descriptions
  3. Fluctuations of ergodic and non-ergodic systems
    Conservation laws and broken symmteries
  4. Connections to kinetic and Langevin equations

Literature

  • D. Forster, Hydrodynamic Fluctuations, Broken Symmetry, and Correlation Functions (W.A. Benjamin, Reading, 1975)
  • P. M. Chaikin and T. C. Lubensky, Principles of condensed matter physics (Cambridge University Press, 1995)
  • J. A. McLennan, Introduction to Non-Equilibrium Statistical Mechanics

 

Brownsche Bewegung: Beschreibungen und Anwendungen

Technische Universität München, Sommersemester 1999