Dr.
J. Robert Dorfman
Institute
of Physical Science and Technology
University of Maryland
College Park, MD
Dr. J. Robert Dorfman
Institute of Physical Science and Technology
University of Maryland
College Park, MD
Wendnesday October 27, 3:00 p.m.
Sid W. Richardson Building, Room 357
Fractal Forms, Hydrodynamic
Modes, and Non-equilibrium Entropy Production
Abstract: One of the most interesting developments
in transport theory over the past several years has been the discovery
of a number of formulae relating macroscopic transport coefficients
to microscopic dynamical properties that describe the chaotic behavior
of a fluid system. These relations follow from the properties of fractal
functions that describe transport on a microscopic level. Some examples
will be given and the connection between these fractals and the production
of entropy in some diffusive flows will be discussed.
Refreshments before the presentation
Friday October 29, 2:00 p.m.
Sid W. Richardson Building, Room 357
Dynamical Chaos and Non-equilibrium
Statistical
Mechanics: Is there a Connection?
Abstract: Most realistic, classical models of
simple fluids exhibit the properties of dynamical chaos, in particular,
exponential sensitivity to initital conditions. Moreover, most of
these systems also exhibit irreversible, hydrodynamic behavior including
relaxation to thermodynamic equilibrium states. The question naturally
arises if there is any connection beween microscopic chaos and macroscopic
relaxation to equilibrium. Here we show by means of some simple model
system how (1) irreversible behavior can arise from reversible dynamics,
and (2) how one might begin to understand the relaxation to equilibrium
from the laws of mechanics. The role of chaotic dynamics will be discussed.
Refreshments before the presentation
Sponsor: Dr. Miller
For further information and directions to the campus call Department
at 817-257-7375