Our goal is to be able to simulate the motion of colloidal particles in order to
help us understand recent experiments. A primary component of that motion is
called "Brownian motion", the apparently random motion experienced by any small
particle immersed in a fluid. So our first goal is to simulate Brownian Motion
For an introduction to Brownian motion on the Web, some useful
links can be found under 'Links'. A useful Java applet that illustrates the
fundamentals of Brownian motion is included, giving a good visual demonstration
of the motion. A nice treatment of Brownian motion is also given in W.B. Russel,
D.A. Saville, and W.R. Schowalter's, "Colloidal Dispersions" (Cambridge University
Press, Cambridge, 1989).
While we know that Brownian motion is due to impacts
of the fluid molecules, it is useful to treat the motion as random and adapt a
statistical approach to the motion. For an in-depth discussion of the mathematics
and random number generation used, as well as results from our work, it is best
to start at the 'Theory' section and work your way down the navigation bar.