Physics – Quantum Physics
Scientific paper
2006-12-23
Infinite Dimensional Analysis, Quantum Probability and Related Topics, 2007, Vol. 10, No. 4, pp. 573-589
Physics
Quantum Physics
17 pages, no figures; proof of eq.(18) added, minor changes in Conclusion
Scientific paper
We examine classical Bogoliubov's model of a particle coupled to a heat bath which consists of infinitely many stochastic oscillators. Bogoliubov's result suggests that, in the stochastic limit, the model exhibits convergence to thermodynamical equilibrium. It has recently been shown that the system does attain the equilibrium if the coupling constant is small enough. We show that in the case of the large coupling constant the distribution function $\rho_{S}(q,p,t)\to 0$ pointwise as $t\to\infty$. This implies that if there is convergence to equilibrium, then the limit measure has no finite momenta. Besides, the probability to find the particle in any finite domain of phase space tends to zero. This is also true for domains in the coordinate space and in the momentum space.
No associations
LandOfFree
On convergence to equilibrium in strongly coupled Bogoliubov's oscillator model 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 On convergence to equilibrium in strongly coupled Bogoliubov's oscillator model, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and On convergence to equilibrium in strongly coupled Bogoliubov's oscillator model will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-311148