Alternating Kinetics of Annihilating Random Walks Near a Free Interface

Details Alternating Kinetics of Annihilating Random Walks Near a Free Interface Alternating Kinetics of Annihilating Random Walks Near a Free Interface

1997-10-23

arxiv.org/abs/cond-mat/9710252v1

J. Phys. A 31, 2791-2799 (1998)

Physics

Condensed Matter

Statistical Mechanics

6 pages, RevTeX, 5 eps figures included

Scientific paper

10.1088/0305-4470/31/12/005

The kinetics of annihilating random walks in one dimension, with the half-line x>0 initially filled, is investigated. The survival probability of the nth particle from the interface exhibits power-law decay, S_n(t)~t^{-alpha_n}, with alpha_n approximately equal to 0.225 for n=1 and all odd values of n; for all n even, a faster decay with alpha_n approximately equal to 0.865 is observed. From consideration of the eventual survival probability in a finite cluster of particles, the rigorous bound alpha_1<1/4 is derived, while a heuristic argument gives alpha_1 approximately equal to 3 sqrt{3}/8 = 0.2067.... Numerically, this latter value appears to be a stringent lower bound for alpha_1. The average position of the first particle moves to the right approximately as 1.7 t^{1/2}, with a relatively sharp and asymmetric probability distribution.

Affiliated with

Also associated with

No associations

Rating

Alternating Kinetics of Annihilating Random Walks Near a Free Interface 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 Alternating Kinetics of Annihilating Random Walks Near a Free Interface, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Alternating Kinetics of Annihilating Random Walks Near a Free Interface will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-42905