Cooperative sequential adsorption models on a Cayley tree: analytical results and applications
Statistical Mechanics
2015-06-05 v1
Abstract
We present a class of cooperative sequential adsorption models on a Cayley tree with constant and variable attachment rates and their possible applications for ionic self-assembly of thin films and drug encapsulation of nanoparticles. Using the empty interval method, and generalizing results known from reaction-diffusion processes on Cayley trees, we calculate a variety of quantities such as time-dependent surface coverage and time-dependent probabilities of certain particle configurations.
Keywords
Cite
@article{arxiv.1207.2168,
title = {Cooperative sequential adsorption models on a Cayley tree: analytical results and applications},
author = {D. A. Mazilu and I. Mazilu and A. M. Seredinski and V. O. Kim and B. M. Simpson and W. E. Banks},
journal= {arXiv preprint arXiv:1207.2168},
year = {2015}
}