Repelling Random Walkers in a Diffusion-Coalescence System

Details Repelling Random Walkers in a Diffusion-Coalescence System Repelling Random Walkers in a Diffusion-Coalescence System

2008-02-19

arxiv.org/abs/0802.2699v1

Physics

Condensed Matter

Statistical Mechanics

5 pages, 1 EPS figure, Accepted for publication in PRE (2008)

Scientific paper

10.1103/PhysRevE.77.031115

We have shown that the steady state probability distribution function of a diffusion-coalescence system on a one-dimensional lattice of length L with reflecting boundaries can be written in terms of a superposition of double shock structures which perform biased random walks on the lattice while repelling each other. The shocks can enter into the system and leave it from the boundaries. Depending on the microscopic reaction rates, the system is known to have two different phases. We have found that the mean distance between the shock positions is of order L in one phase while it is of order 1 in the other phase.

Affiliated with

Also associated with

No associations

Rating

Repelling Random Walkers in a Diffusion-Coalescence System 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 Repelling Random Walkers in a Diffusion-Coalescence System, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Repelling Random Walkers in a Diffusion-Coalescence System will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-338994