Zero temperature limit for interacting Brownian particles. I. Motion of a single body

Details Zero temperature limit for interacting Brownian particles. I. Motion of a single body Zero temperature limit for interacting Brownian particles. I. Motion of a single body

2004-10-06

arxiv.org/abs/math/0410135v1

Annals of Probability 2004, Vol. 32, No. 2, 1201-1227

Mathematics

Probability

Published by the Institute of Mathematical Statistics (http://www.imstat.org) in the Annals of Probability (http://www.imsta

Scientific paper

10.1214/009117904000000180

We consider a system of interacting Brownian particles in R^d with a pairwise potential, which is radially symmetric, of finite range and attains a unique minimum when the distance of two particles becomes a>0. The asymptotic behavior of the system is studied under the zero temperature limit from both microscopic and macroscopic aspects. If the system is rigidly crystallized, namely if the particles are rigidly arranged in an equal distance a, the crystallization is kept under the evolution in macroscopic time scale. Then, assuming that the crystal has a definite limit shape under a macroscopic spatial scaling, the translational and rotational motions of such shape are characterized.

Affiliated with

Also associated with

No associations

Rating

Zero temperature limit for interacting Brownian particles. I. Motion of a single body 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 Zero temperature limit for interacting Brownian particles. I. Motion of a single body, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Zero temperature limit for interacting Brownian particles. I. Motion of a single body will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-171091