Directed Compact Percolation near a damp wall
by Heather Lonsdale
Abstract: Percolation displays a fundamental critical phenomenon, and significant progress has been made to mathematically expound its behaviour in two dimensions. The basic model has been modified in many ways both to model different situations and in the search for integral systems. This talk will consider the exactly solvable case of directed compact percolation near a damp wall, which interpolates between the previously studied wet wall and dry wall.
Several properties of the percolation problem can be derived for this model by mapping to pairs of weighted, directed walks with two wall interaction parameters. Results will be presented for the percolation probability, mean cluster length, mean number of contacts with the wall, and mean size of finite clusters. No prior knowledge of percolation theory will be assumed for this talk.
For More Information: contact Heather Lonsdale, email: firstname.lastname@example.org