Theory of Non-Equilibrium Sationary States as a Theory of Resonances

Details Theory of Non-Equilibrium Sationary States as a Theory of Resonances Theory of Non-Equilibrium Sationary States as a Theory of Resonances

2006-03-01

arxiv.org/abs/math-ph/0603006v2

Physics

Mathematical Physics

1 figure. To appear in Ann. H. Poincare

Scientific paper

10.1007/s00023-007-0346-4

We study a small quantum system (e.g. a simplified model for an atom or molecule) interacting with two bosonic or fermionic reservoirs (say, photon or phonon fields). We show that the combined system has a family of stationary states, parametrized by two numbers $T_1$, $T_2$ (``reservoir temperatures''). If $T_1\neq T_2$, then these states are non-equilibrium, stationary states (NESS). In the latter case we show that they have nonvanishing heat fluxes and positive entropy production. Furthermore, we show that these states are dynamically asymptotically stable. The latter means that the evolution with an initial condition, normal with respect to any state where the reservoirs are in equilibria at temperatures $T_1$ and $T_2$, converges to the corresponding NESS. Our results are valid for the temperatures satisfying the bound $\min(T_1, T_2) > g^{2+\alpha}$, where $g$ is the coupling constant and $0< \alpha<1$ is a power related to the infra-red behaviour of the coupling functions.

Affiliated with

Also associated with

No associations

Rating

Theory of Non-Equilibrium Sationary States as a Theory of Resonances 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 Theory of Non-Equilibrium Sationary States as a Theory of Resonances, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Theory of Non-Equilibrium Sationary States as a Theory of Resonances will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-369470