Dynamics: Models and Kinetic Methods for Non-equilibrium Many Body Systems -

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Résumé :
Recent years have witnessed a resurgence in the kinetic approach to dynamic many-body problems. Modern kinetic theory offers a unifying theoretical framework within which a great variety of seemingly unrelated systems can be explored in a coherent way. Kinetic methods are currently being applied in such areas as the dynamics of colloidal suspensions, granular material flow, electron transport in mesoscopic systems, the calculation of Lyapunov exponents and other properties of classical many-body systems characterised by chaotic behaviour. The present work focuses on Brownian motion, dynamical systems, granular flows, and quantum kinetic theory.

Sommaire:
1. Brownian Motion.- Dynamics of colloidal systems: beyond the stochastic approach.- Lattice-Boltzmann simulations of hydrodynamically interacting particles.- Orientational relaxation and Brownian motion.- Viscosity and diffusion of concentrated hard-sphere-like colloidal suspensions.- Interacting Brownian particles.- Spinodal decomposition kinetics: the initial and intermediate stages.- First Interlude.- Seventeenth century Dutch art: a brief guide to the Mauritshuis, The Hague, and the Rijksmuseum, Amsterdam.- 2. Dynamical Systems.- Seventeenth century Dutch art: a brief guide to the Mauritshuis, The Hague, and the Rijksmuseum, Amsterdam.- Multifractal phase-space distributions for stationary nonequilibrium systems.- A model of nonequilibrium statistical mechanics.- Statistical properties of chaotic systems in high dimensions.- Dynamical systems and statistical mechanics: Lyapunov exponents and transport coefficients.- Second Interlude.- Boltzmann and statistical mechanics.- 3. Granular Flows.- Kinetic theory of granular fluids: hard and soft inelastic spheres.- Inelastic Collapse.- Stationary states in systems with dissipative interactions.- Motion along a rough inclined surface.- Hydraulic theory for a granular heap on an incline.- Experimental studies of granular flows.- Model kinetic equations for rapid granular flows.- Velocity correlations in driven two-dimensional granular media.- Third Interlude.- G. E. Uhlenbeck on Paul Ehrenfest.- 4. Quantum Kinetic Theory.- Quantum kinetic theory: the disordered electron problem.- Quantum phase transitions.- Scattering, transport & stochasticity in quantum systems.- Some problems of the kinetic theory of mesoscopic systems.- Kinetic theory for electron dynamics in semiconductors and plasmas.- Kinetic theory for electron dynamics in semiconductors and plasmas.- Participants.