title: Class of cooperative stochastic models: Exact and approximate solutions, simulations, and experiments using ionic self-assembly of nanoparticles.
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.
authors.affiliation: Department of Physics and Engineering, Washington and Lee University, Lexington, Virginia 24450, USA.
authors.forename: I
authors.initials: I
authors.lastname: Mazilu
authors.affiliation: Department of Physics and Engineering, Washington and Lee University, Lexington, Virginia 24450, USA.
authors.forename: D A
authors.initials: DA
authors.lastname: Mazilu
authors.affiliation: Department of Physics and Engineering, Washington and Lee University, Lexington, Virginia 24450, USA.
authors.forename: R E
authors.initials: RE
authors.lastname: Melkerson
authors.affiliation: Department of Physics and Engineering, Washington and Lee University, Lexington, Virginia 24450, USA.
authors.forename: E
authors.initials: E
authors.lastname: Hall-Mejia
authors.affiliation: Department of Physics and Engineering, Washington and Lee University, Lexington, Virginia 24450, USA.
authors.forename: G J
authors.initials: GJ
authors.lastname: Beck
authors.affiliation: Department of Physics and Engineering, Washington and Lee University, Lexington, Virginia 24450, USA.
authors.forename: S
authors.initials: S
authors.lastname: Nshimyumukiza
authors.affiliation: Department of Mathematics, Kuwait University, Safat 13060, Kuwait.
authors.forename: Carlos M
authors.initials: CM
authors.lastname: da Fonseca