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

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.

References in corpus (3)

• Cayley Trees and Bethe Lattices, a concise analysis for mathematicians and physicists
• Exactly solvable reaction diffusion models on a Cayley tree
• Diffusion-Limited One-Species Reactions in the Bethe Lattice

Cited by in corpus (4)

• A Cooperative Sequential Adsorption Model in Two Dimensions with Experimental Applications for Ionic Self-Assembly of Nanoparticles
• Cross-over between diffusion-limited and reaction-limited regimes in the coagulation-diffusion process
• Autonomous models on a Cayley tree
• An introduction to stochastic self-assembly: theory, simulation and experimental applications