Volpe Bossa, Guilherme2017-10-272017-10-272017https://hdl.handle.net/10365/26707In this thesis we have investigated electrostatic interactions at dielectric interfaces using theoretical models based on the non-linear Poisson-Boltzmann theory and its extensions. We have focused on three major topics: (1) modeling the energetics and interactions of charged nanoparticles trapped at the air-water interface; (2) calculation of the line tension between domains in charged lipid membranes, lipid-lipid correlations, and how membrane curvature is influenced by charged peptides; and (3) extensions of the classical Poisson-Boltzmann theory by accounting for the influence of ion-specific solvent-mediated interactions. More precisely, ion-specificity has been accounted for using the Poisson-Helmholtz-Boltzmann formalism, which adds to the bare Coulombic interactions a Yukawa-like potential that accounts for the interacting hydration shells of ions. Motivated by recent experimental and computational results, all projects present here aim to provide a deeper understanding of fundamental physical properties of charged dielectric interfaces.NDSU Policy 190.6.2https://www.ndsu.edu/fileadmin/policy/190.pdfDissertation0000-0001-5956-8504