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arXiv · 1207.2168

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

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

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D. A. Mazilu, I. Mazilu, A. M. Seredinski, V. O. Kim, B. M. Simpson, W. E. Banks. 2012-07-09. Cooperative sequential adsorption models on a Cayley tree: analytical results and applications. https://doi.org/10.1088/1742-5468%2F2012%2F09%2Fp09002

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