title: Triangular tessellation scheme for the adsorption free energy at the liquid-liquid interface: Towards nonconvex patterned colloids.
abstract: We present a numerical technique, namely, triangular tessellation, to calculate the free energy associated with the adsorption of a colloidal particle at a flat interface. The theory and numerical scheme presented here are sufficiently general to handle nonconvex patchy colloids with arbitrary surface patterns characterized by a wetting angle, e.g., amphiphilicity. We ignore interfacial deformation due to capillary, electrostatic, or gravitational forces, but the method can be extended to take such effects into account. It is verified that the numerical method presented is accurate and sufficiently stable to be applied to more general situations than presented in this paper. The merits of the tessellation method prove to outweigh those of traditionally used semianalytic approaches, especially when it comes to generality and applicability.
authors.affiliation: Soft Condensed Matter, Debye Institute for Nanomaterials Science, Utrecht University, Princetonplein 5, 3584 CC Utrecht, The Netherlands. j.degraaf1@uu.nl
authors.forename: Joost
authors.initials: J
authors.lastname: de Graaf
authors.forename: Marjolein
authors.initials: M
authors.lastname: Dijkstra
authors.forename: René
authors.initials: R
authors.lastname: van Roij
mesh_terms: D000327:Adsorption; D000465:Algorithms; D003102:Colloids / Q000737:chemistry*; D003198:Computer Simulation; D004735:Energy Transfer; D008956:Models, Chemical; D012212:Rheology / Q000379:methods*; D013499:Surface Properties
chemical_list: D003102:Colloids