1207.2168 (D. A. Mazilu et al.)

Cooperative sequential adsorption models on a Cayley tree: analytical
results and applications    [PDF]

D. A. Mazilu, I. Mazilu, A. M. Seredinski, V. O. Kim, B. M. Simpson, W. E. Banks

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.

View original: http://arxiv.org/abs/1207.2168