Brownian dynamics study of dynamic scaling and related freezing criteria in quasi-two-dimensional dispersions

We present a Brownian dynamics simulation study of static and dynamic prope rties of quasi-two-dimensional dispersions of colloidal spheres interacting by long-range screened electrostatic and by dipolar magnetic forces, respe ctively. The calculated van Hove real-space dynamic correlation functions, mean squared displacements, and hydrodynamic functions are shown to obey a dynamic scaling behavior in terms of a characteristic relaxation time relat ed to the geometrical mean particle distance. Hydrodynamic interactions int roduce a second characteristic length scale, and they lead to a more restri cted scaling behavior with an enhancement of self-diffusion. As a consequen ce of dynamic scaling, the dynamical criterion of Lowen [Phys. Rev. E 53, R 29 (1996)] for the onset of colloidal freezing is shown to be equivalent to a two-dimensional freezing criterion related to the static structure facto r. (C) 2001 American Institute of Physics.