Lattice Kinetics of Diffusion-Limited Coalescence and Annihilation with Sources
Statistical Mechanics
2009-11-07 v1
Abstract
We study the 1D kinetics of diffusion-limited coalescence and annihilation with back reactions and different kinds of particle input. By considering the changes in occupation and parity of a given interval, we derive sets of hierarchical equations from which exact expressions for the lattice coverage and the particle concentration can be obtained. We compare the mean-field approximation and the continuum approximation to the exact solutions and we discuss their regime of validity.
Keywords
Cite
@article{arxiv.cond-mat/0201446,
title = {Lattice Kinetics of Diffusion-Limited Coalescence and Annihilation with Sources},
author = {E. Abad and T. Masser and D. ben-Avraham},
journal= {arXiv preprint arXiv:cond-mat/0201446},
year = {2009}
}
Comments
24 pages and 3 eps figures, Revtex, accepted for publication in J. Phys. A