witten, fractal, box counting, diffusion, sander, random walk

Describing aggregation using random walk and estimating its fractal dimension

Self-avoiding random walks on the square lattice are performed using random sampling. The probability distribution of how many steps a random walker uses before it traps itself is studied. The notebook is based on an article by S. and P. C. Hemmer.

einstein, animation, brown, diffusion, random walk

A brief introduction to Brownian motion and its connection with diffusion. A system of Brownian particles in 2D is simulated and visualised.