Off-lattice anomalous diffusion in a thin sticks system

An off-lattice Monte Carlo simulation of a diffusion process through a random sticks network in two dimensions is presented in this paper. The statistical properties of the hindered motion are analysed according to the geometric characteristics and concentration of obstacles, here represented by randomly disperse segments parallel to one another. In particular, short and long time behaviour of the mean square displacements are considered with respect to the type of interactions between the tracer and the sticks. The diffusion coefficient is estimated and a power law dependence on the obstacle length is determined. Finally, an application of the present results to experimental data of diffusion processes in inhomogeneous media is discussed.