The Stability of the Non-Equilibrium Steady States

Details The Stability of the Non-Equilibrium Steady States The Stability of the Non-Equilibrium Steady States

2003-09-14

arxiv.org/abs/math-ph/0309034v1

Physics

Mathematical Physics

37pages,accepted for publication in Communications in Mathematical Physics

Scientific paper

10.1007/s00220-003-1011-5

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

Affiliated with

Also associated with

No associations

Rating

The Stability of the Non-Equilibrium Steady States does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with The Stability of the Non-Equilibrium Steady States, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and The Stability of the Non-Equilibrium Steady States will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-161034