Triangular tessellation scheme for the adsorption free energy at the liquid-liquid interface: Towards nonconvex patterned colloids

Joost de Graaf*, Marjolein Dijkstra, Rene van Roij

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

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.

Original languageEnglish
Article number051405
Number of pages19
JournalPhysical Review E - Statistical, Nonlinear and Soft Matter Physics
Volume80
Issue number5
DOIs
Publication statusPublished - Nov 2009

Keywords

  • adsorption
  • colloids
  • free energy
  • numerical analysis
  • wetting
  • FLUID INTERFACES
  • LINE TENSION
  • ELLIPSOIDAL PARTICLES
  • STABILITY
  • TRANSITIONS
  • FORCE

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