03-231 Yoshiko Ogata

The Stability of the Non-Equilibrium Steady States (773K, Postscript) May 22, 03

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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 $\omega(k)=\cos k$.

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