Random ballistic growth and diffusion in symmetric spaces

Details Random ballistic growth and diffusion in symmetric spaces Random ballistic growth and diffusion in symmetric spaces

2011-10-16

arxiv.org/abs/1110.3524v1

Physics

Mathematical Physics

25 pages, 5 figures

Scientific paper

Sequential ballistic deposition (BD) with next-nearest-neighbor (NNN) interactions in a N-column box is described as a time-ordered product of N x N-matrices consisting of a single sl_2-block which has a random position along the diagonal. We show that the joint distribution of heights in a uniform BD process is described by the diffusion equation with Toda Hamiltonian. The group-theoretic structure of the system and links to some random matrix models are also discussed.

Affiliated with

Also associated with

No associations

Rating

Random ballistic growth and diffusion in symmetric spaces 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 Random ballistic growth and diffusion in symmetric spaces, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Random ballistic growth and diffusion in symmetric spaces will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-317021