On the Random Walks of Geometrical Forms in Two-Dimensions

I show how to design the value of the diffusion constant D for the random walks of Squares and Triangles over their respective regular lattice in two-dimensions. By allowing movements to grid locations other than nearest neighbors, I can design the value of the diffusion constant D to a value larger that unity (the default) or to a value less than unity.

• Type: Conference
• Year: 2008
• Where: CSC
• Authors: J. F. Nystrom
• Keywords: Applied Computing, CSC 2008, Diffusion, Random Walks, Respective Regular Lattice