MS39 ~ Wednesday, May 24, 1995 ~ 10:00 AM

Dynamical Systems Theory and Nonequilibrium Statistical Mechanics

Dynamical systems theory was motivated, in part, by the attempt of Maxwell, Boltzmann, and others to understand the irreversible behavior of macroscopic systems in terms of microscopic dynamics. It is appropriate, now, to review recent progress in this area. The minisymposium will address two central themes of current interest: (a) the description and mathematical properties of nonequilibrium ensembles _ measures, rates of contraction of phase space volumes, and rates of entropy production _ appropriate for a description of nonequilibrium flows; and (b) the role of chaotic scattering in providing the physical basis for nonequilibrium phenomena_ and the mathematical description of such phenomena in terms of Lyapunov exponents, KS entropies, and related quantities. The talks will focus on new results in the dynamical approach to hydrodynamic processes in fluids.

Organizer: J. Robert Dorfman, University of Maryland, College Park

Dynamical Ensembles in Statistical Mechanics
E.G.D. Cohen, The Rockefeller University
Entropy Production and Lyapunov Exponents for Boundary Driven Hard Disk Fluids
Nicolai Chernov, University of Alabama, Birmingham
Nonequilibrium States in Symplectic Dynamics: Irreversible Processes as Eigenvalue Problems
Pierre Gaspard, Universitè Libra de Bruxelles, Belgium
Thermodynamic Formalism for Lorentz Lattice Gases
Matthieu H. Ernst, University of Utretch, The Netherlands