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Published on: October 16, 2017
Class of cooperative stochastic models: Exact and approximate solutions, simulations, and experiments using ionic
I Mazilu1, D A Mazilu1, R E Melkerson1
1Department of Physics and Engineering, Washington and Lee University, Lexington, Virginia 24450, USA.
Abstract:
We present exact and approximate results for a class of cooperative sequential adsorption models using matrix theory, mean-field theory, and computer simulations. We validate our models with two customized experiments using ionically self-assembled nanoparticles on glass slides. We also address the limitations of our models and their range of applicability. The exact results obtained using matrix theory can be applied to a variety of two-state systems with cooperative effects.

