Annihilation of Immobile Reactants on the Bethe Lattice
Condensed Matter
2010-10-12 v1
Abstract
Two-particle annihilation reaction, A+A -> inert, for immobile reactants on the Bethe lattice is solved exactly for the initially random distribution. The process reaches an absorbing state in which no nearest-neighbor reactants are left. The approach of the concentration to the limiting value is exponential. The solution reproduces the known one-dimensional result which is further extended to the reaction A+B -> inert.
Cite
@article{arxiv.cond-mat/9305030,
title = {Annihilation of Immobile Reactants on the Bethe Lattice},
author = {Satya N. Majumdar and Vladimir Privman},
journal= {arXiv preprint arXiv:cond-mat/9305030},
year = {2010}
}
Comments
12 pp, TeX (plain)