surfaces, or indeed with any two-phase bulk interface. For The interaction between a charged, spherical colloidal particle example, protein adsorption to bubbles or droplets is influand a charged liquid/liquid interface is studied by domain perturenced by such interactions. Forces between charged particles bation analysis. A general solution for the potential near the nonand a fluid interface also play a role in understanding solubiplanar interface is derived in the form of a Hankel transform, and lization kinetics in micellar (9) and microemulsion (10,11) that solution is used in conjunction with the surface stress balance systems. In this paper, we treat the problem of a charged, to find the interface shape and force on the particle to leading colloidal particle interacting with a charged, deformable inorder. The range of accuracy of the asymptotic methods used terface by using a domain perturbation method.
are evaluated by direct comparison with corresponding numerical
The challenge posed by the deformable interface is not results obtained via a boundary integral method. In addition, analytic expressions for the interface shape at radial positions on the only that it assumes a non-planar shape, but also that the order of and much larger than a Debye length are given, and the shape is not known a priori, and must be obtained as part scaling dependence of influences such as surface tension, surface of the solution to the problem. If the deformation is small, charge density, gravity and separation distance are discussed. In however, then the method of domain perturbations allows particular, it is shown that under many conditions of interest the one to re-express the boundary condition on the deformed breadth of a perturbation in interface position (i.e., the distance interface in an asymptotically equivalent form on a planar over which the perturbation decays) can be many orders of magniinterface. One can then use the solution in the more regular tude larger than the depth of the perturbation, and scaling rela-(but still nontrivial) sphere-plane geometry to obtain the tionships illustrating this fact are derived.