- 98-687 Jean-Pierre Eckmann, Claude-Alain Pillet, Luc Rey-Bellet
- Entropy Production in Non-Linear, Thermally
Driven Hamiltonian Systems
Oct 29, 98
(auto. generated ps),
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Abstract. We consider a finite chain of non-linear
oscillators coupled at its ends to two infinite heat baths which
are at different temperatures. Using
our earlier results about the existence of a stationary state, we
show rigorously that for arbitrary temperature differences and arbitrary
couplings, such a system has
a unique stationary state. (This extends our earlier
results for small temperature differences.)
In all these cases, any initial state will converge
(at an unknown rate) to the stationary state.
We show that this stationary state continually produces entropy.
The rate of entropy production is strictly negative when the
temperatures are unequal and is proportional to the mean energy flux
through the system.