Random Walks

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Summary

In this lecture we had our first contact with random processes, realised in the form of random walks. We used this randomness to describe diffusion in one and two dimensions through a simple simulation technique called random walk. We established that random walks indeed provide solutions for the diffusion equation, in agreement with analytical solutions, and we discussed some properties of this class of solutions. Finally, we used a simulation to address the issue of entropy in closed systems.




Frank Krauss and Daniel Maitre
Last modified: Tue Oct 3 14:43:58 BST 2017