Yoshiko Ogata
The Stability of the Non-Equilibrium Steady States
(773K, Postscript)

ABSTRACT.  We show that the non-equilibrium steady state of the free 
lattice Fermion model far from equilibrium is macroscopically unstable. 
The problem is translated to that of the spectral analysis 
of {\it Liouville Operator}, 
we use the method of positive commutators 
to investigate it. 
We construct a positive commutator on the lattice Fermion system, 
whose dispersion relation is $\omega(k)=\cos k$.