Diffusion Limited Aggregation

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

Describing aggregation using random walk and estimating its fractal dimension

  Self-avoiding random walk in 2D

random walk, polymer, hemmer

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.

  Introduction to Brownian Motion and Diffusion

animation, diffusion, einstein, random walk, brown

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