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Physics  2003 

The Stability of the Non-Equilibrium Steady States

DOI: 10.1007/s00220-003-1011-5

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We show that the non-equilibrium steady state (NESS) 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 $\omega(k)=\cos k-\gamma$.


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