Abstract
The paper presents a survey of developed multi-component diffusion models. Stochastic and continuous PDE models for multi-component diffusion problems are studied by performing a sequence of numerical simulations. The stochastic models are based on Cellular Automata with interchange and block-rotation model. The multi-component particles are either interchanged or rotated clockwise or counter-clockwise with prescribed probability. The diffusion coefficient is tuned by changing the probabilities of execution of particular rules. The continuous PDE models are based on classical variational formulations solved by the self-adaptive hp Finite Element Method. Numerical results are compared and discussed.