Percolation Part 2
Follow on from the talk before Christmas
Introduction to percolation: part 2
Percolation relates to the question of finding a connected path through some disordered medium (e.g., a channel through a porous rock). In the previous talk, we worked out various statistical properties (percolation probability, mean cluster size and correlation length) in simple geometries (1d and the Cayley tree). In this talk, I will recap the setup and main results, and then apply a real-space renormalisation approach to determine the properties of the more complex 2d geometry. If time permits, I shall also say a few words about directed percolation (which we have heard about in the context of turbulence).
This is a weekly series of informal talks focussing on some theoretical aspect of Condensed Matter, Biological, and Statistical Physics..