Scale-invariant universal crossing probability in one-dimensional diffusion-limited coalescence
Statistical Mechanics
2007-05-23 v1
Abstract
The crossing probability in the time direction is defined for an off-equilibrium reaction-diffusion system as the probability that the system of size L is still active at time t, in the finite-size scaling limit. Exact results are obtained for the diffusion-limited coalescence problem in 1+1 dimensions with periodic and free boundary conditions using empty interval methods. The crossing probability is a scale-invariant universal function of an effective aspect ratio, L^2/Dt, which is the natural scaling variable for this strongly anisotropic system.
Cite
@article{arxiv.cond-mat/0212407,
title = {Scale-invariant universal crossing probability in one-dimensional diffusion-limited coalescence},
author = {L. Turban},
journal= {arXiv preprint arXiv:cond-mat/0212407},
year = {2007}
}
Comments
12 pages, 2 figures