Recurrence and Density Decay for Diffusion-Limited Annihilating Systems
Probability
2018-06-19 v2 Mathematical Physics
math.MP
Abstract
We study an infinite system of moving particles, where each particle is of type A or B. Particles perform independent random walks at rates D_A>0 and D_B>0, and the interaction is given by mutual annihilation A+B->0. The initial condition is i.i.d. with finite first moment. We show that this system is site-recurrent, that is, each site is visited infinitely many times. We also generalize a lower bound on the density decay of Bramson and Lebowitz by considering a construction that handles different jump rates.
Cite
@article{arxiv.1309.4387,
title = {Recurrence and Density Decay for Diffusion-Limited Annihilating Systems},
author = {Manuel Cabezas and Leonardo T. Rolla and Vladas Sidoravicius},
journal= {arXiv preprint arXiv:1309.4387},
year = {2018}
}