Open AccessA Monte Carlo study of a cooperative three-state model with adsorption and evaporation and its applications
Author(s) -
Dan Mazilu,
Matthew Withers,
W. Hanstedt,
S. Chad Gibbs,
A. P. Lorson,
Irina Mazilu
Publication year - 2019
Publication title -
journal of physics. conference series
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.21
H-Index - 85
eISSN - 1742-6596
pISSN - 1742-6588
DOI - 10.1088/1742-6596/1391/1/012008
Subject(s) - monte carlo method , network topology , adsorption , materials science , monte carlo tree search , tree (set theory) , polymer , context (archaeology) , solid state , statistical physics , computer science , topology (electrical circuits) , nanotechnology , chemistry , physics , mathematics , combinatorics , paleontology , statistics , composite material , biology , operating system
We present a versatile cooperative three-state model with adsorption and evaporation defined on different topologies: two- and three-dimensional lattices and Cayley trees. We discuss this model in the context of two main applications: silica and titania self-assembled optical coatings on glass substrates and drug encapsulation of two different types of nanoparticles on tree-like synthetic polymers called dendrimers and described mathematically as Cayley trees. We present analytical and Monte Carlo simulation results for these different topologies and discuss other possible extensions of the model to social sciences.