On the basis of a theory of Imai and Oosawa (Busseiron Kenkyu52, 42 (1952); 59, 99 (1953)), approximate analytic expressions for the surface charge density/surface potential relationship for a spherical colloidal particle in a salt-free (aqueous or nonaqueous) medium containing only counterions are
A fast algorithm for treating dielectric discontinuities in charged spherical colloids
β Scribed by Zhenli Xu
- Book ID
- 113106699
- Publisher
- International Association of Scientists in the Interdisciplinary Areas
- Year
- 2012
- Tongue
- English
- Weight
- 287 KB
- Volume
- 4
- Category
- Article
- ISSN
- 1913-2751
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## Abstract The multilevel fast multipole algorithm (MLFMA) is applied to the problem of a general threeβdimensional dielectric target above or below a lossy half space. The dyadic halfβspace Green's function is evaluated rigorously for the βnearβ MLFMA interactions, while an asymptotic Green's fun
As a sequel to our previous paper on extending the Fast Multipole Method (FMM) for charges inside a dielectric sphere [J. Comput. Phys. 223 (2007) 846-864], this paper further extends the FMM to the electrostatic calculation for charges inside a dielectric sphere immersed in an ionic solvent, a scen