Existence and uniqueness of an invariant measure for a chain of oscillators in contact with two heat baths

Details Existence and uniqueness of an invariant measure for a chain of oscillators in contact with two heat baths Existence and uniqueness of an invariant measure for a chain of oscillators in contact with two heat baths

2006-11-22

arxiv.org/abs/math/0611689v1

Mathematics

Probability

Submitted

Scientific paper

In this note we consider a chain of $N$ oscillators, whose ends are in contact with two heat baths at different temperatures. Our main result is the exponential convergence to the unique invariant probability measure (the stationary state). We use the Lyapunov's function technique of Rey-Bellet and coauthors with different model of heat baths, and adapt these techniques to two new case recently considered in the literature by respectively Bernardin and Olla, Lefevere and Schenkel

Affiliated with

Also associated with

No associations

Rating

Existence and uniqueness of an invariant measure for a chain of oscillators in contact with two heat baths 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 Existence and uniqueness of an invariant measure for a chain of oscillators in contact with two heat baths, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Existence and uniqueness of an invariant measure for a chain of oscillators in contact with two heat baths will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-368796