Stochastic Ballistic Annihilation and Coalescence

Details Stochastic Ballistic Annihilation and Coalescence Stochastic Ballistic Annihilation and Coalescence

2000-05-03

arxiv.org/abs/cond-mat/0005072v2

Phys. Rev. Lett. (2000) v 85 no 18 pp 3750-3753

Physics

Condensed Matter

Statistical Mechanics

4 pages RevTeX, 3 figures; revised version with some corrections, additional discussion and in RevTeX format

Scientific paper

10.1103/PhysRevLett.85.3750

We study a class of stochastic ballistic annihilation and coalescence models with a binary velocity distribution in one dimension. We obtain an exact solution for the density which reveals a universal phase diagram for the asymptotic density decay. By universal we mean that all models in the class are described by a single phase diagram spanned by two reduced parameters. The phase diagram reveals four regimes, two of which contain the previously studied cases of ballistic annihilation. The two new phases are a direct consequence of the stochasticity. The solution is obtained through a matrix product approach and builds on properties of a q-deformed harmonic oscillator algebra.

Affiliated with

Also associated with

No associations

Rating

Stochastic Ballistic Annihilation and Coalescence 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 Stochastic Ballistic Annihilation and Coalescence, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Stochastic Ballistic Annihilation and Coalescence will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-230818