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Monday, May 24

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IP4

Life at the Boundary of Chaos Theory and Nonequilibrium Statistical Mechanics

1:30 PM-2:30 PM

*Room: Ballrooms I, II & III*

Chair: Mary Silber, Northwestern University

The last decade or so has seen a strong surge of interest in the
applications of dynamical systems theory to problems of interest to
workers in nonequilibrium statistical mechanics. Unexpected relations
have been discovered between transport coefficients, which appear in
the macroscopic equations of fluid dynamics, and the Lyapunov
exponents, Kolmogorov-Sinai entropies, and other quantities which
characterize chaotic processes in the underlying microscopic
dynamics. Stimulated by these relations, workers have developed
methods to compute dynamical quantities, based on familiar techniques
in statistical mechanics. The speakers will discuss these results and
some important new theorems, such as the Gallavotti-Cohen fluctuation
theorem, and the conjugate pairing rule for Lyapunov exponents. He
will also mention some very interesting issues relating to the
applications of SRB and related measures to entropy production and
Green-Kubo formulae for transport coefficients.

**J. Robert Dorfman**

*Institute for Physical Science and Technology*

*University of Maryland, College Park*

*MMD, 2/9/99*