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Phil Attard
School of Chemistry, University of Sydney
Theory for Non-equilibrium Thermodynamics and Statistical Mechanics
Wednesday 23rd, August 14:05-14:55pm,
Carslaw Lecture Theatre 373.
A theory for non-equilibrium thermodynamics and statistical mechanics
is presented. This gives the non-equilibrium analogue of the
Boltzmann probability distribution, and the generalization of entropy
to dynamic states. It is shown that this so-called second entropy is
maximized in the steady state, in contrast to the rate of production
of the conventional entropy, which is \emph{not} an extremum. The
relationships of the new theory to Onsager's regression hypothesis,
Prigogine's minimal entropy production theorem, the Langevin equation,
the formula of Green and Kubo, the Kawasaki distribution, and the
non-equilibrium fluctuation and work theorems, are discussed. The
theory is exemplified by the case of steady heat flow down an imposed
temperature gradient. A Monte Carlo algorithm based upon the steady
state probability density is summarized, and results for the thermal
conductivity of a Lennard-Jones fluid are shown to be in agreement
with known values.
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