Uninfected random walkers in one dimension

Details Uninfected random walkers in one dimension Uninfected random walkers in one dimension

2001-11-08

arxiv.org/abs/cond-mat/0111133v2

Phys. Rev. E 65, 051113 (2002)

Physics

Condensed Matter

Statistical Mechanics

improved data analysis, some new figures

Scientific paper

10.1103/PhysRevE.65.051113

We consider a system of unbiased diffusing walkers (A0 <-> 0A) in one dimension with random initial conditions. We investigate numerically the relation between the fraction of walkers, U(t), which have never encountered another walker up to time t, calling such walkers ``uninfected'' and the fraction of sites, P(t), which have never been visited by a diffusing particle. We extend our study to include the A + B -> 0 diffusion-limited reaction in one-dimension, with equal initial densities of A and B particles distributed homogeneously at t=0. We find U(t) \simeq [P(t)]^\gamma, with \gamma \simeq 1.39, in both models, though there is evidence that a smaller value of \gamma is required for t -> infinity.

Affiliated with

Also associated with

No associations

Rating

Uninfected random walkers in one dimension 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 Uninfected random walkers in one dimension, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Uninfected random walkers in one dimension will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-421333