The Effective Interaction Between Charged Colloids

Colloids are one of very important kinds of soft matters. The effective interaction in charged colloids is studied in this paper. The effective interaction in charged colloids is not only abundant in chemical domain, but also broadly applied in biological systems. The theories of colloids are completely statistical one, and they attract a lot of theoretical scientists. In terms of extensively study of effective interaction in colloids at present, especially the effect of boundary conditions acting on the charged colloids, we use DLVO theory, which solving numerically Poisson-Boltzmann equation, to compute the effective interaction between two infinite planes with uniform charges in electrolyte. Also, we show the concentration distribution of ions in electrolyte. Furthermore, with the Derjaguin approximation, we extend above results to calculate the influence of boundary conditions on colloids.In the first chapter, we introduce the background and development of this research in detail. In the second chapter, we show three common and valid methods in computing the effective interaction in colloidal system: DLVO theory, Density Functional Theory (DFT), Hypernetted-Chain (HNC) approximation, and some results from each method are given. The content of the third chapter is the dominant part in this paper. In 1:1 electrolyte, we compute the effective interaction between two planes, the distribution of counterions and the effect of boundary conditions with charge. The last chapter is another important work. In this chapter, we calculate the hydrodynamic interaction between two particles using Brownian dynamic simulation.