Return to Equilibrium for an Anharmonic Oscillator coupled to a Heat Bath

Details Return to Equilibrium for an Anharmonic Oscillator coupled to a Heat Bath Return to Equilibrium for an Anharmonic Oscillator coupled to a Heat Bath

2011-01-06

arxiv.org/abs/1101.1188v1

Physics

Mathematical Physics

Scientific paper

We study a $C^*$-dynamical system describing a particle coupled to an infinitely extended heat bath at positive temperature. For small coupling constant we prove return to equilibrium exponentially fast in time. The novelty in this context is to model the particle by a harmonic or anharmonic oscillator, respectively. The proof is based on explicit formulas for the time evolution of Weyl operators in the harmonic oscillator case. In the anharmonic oscillator case, a Dyson's expansion for the dynamics is essential. Moreover, we show in the harmonic oscillator case, that $\R$ is the absolute continuous spectrum of the Standard Liouvillean and that zero is a unique eigenvalue.

Affiliated with

Also associated with

No associations

Rating

Return to Equilibrium for an Anharmonic Oscillator coupled to a Heat Bath 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 Return to Equilibrium for an Anharmonic Oscillator coupled to a Heat Bath, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Return to Equilibrium for an Anharmonic Oscillator coupled to a Heat Bath will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-399259