Simple exclusion model applied to nano-robots

The motion of robot links attached to the lattice sites of a simple exclusion process in ZN3 is described. Approximate mean and covariance propagation equations for the particle number at the sites is derived. The average Lagrangian of the system of links attached to the occupied sites interacting with each other on a pair wise basis via potential dependent on the lattice sites and the link orientations at the two sites is setup. Complete plots of the density and covariance profile of the exclusion process are generated based on Poisson process simulation. Plots of the link angles are also generated. Quantization of the link motion via the Schroedinger wave function is studied.