Séminaire de groupe
|Numerical Treatment of Self-Avoiding Walks on Disordered Lattices|
|mardi 14 juin 2011 , 10h25|
|Salle de séminaire du groupe de Physique Statistique|
The critical behavior of self-avoiding walks (SAWs) on disordered lattices has been studied extensively in recent decades. Of particular interest is the situation at the percolation threshold where the fractal dimension changes. Here, an overview over the various numerical methods to treat the problem is given, before a new technique is presented. Exploiting the structural properties of critical percolation clusters, it allows for exact enumeration of SAWs of several hundred steps. This implies effective enumeration of more than 10^100 conformations. While the main focus are the methods themselves, some findings for the scaling behavior of SAWs on disordered lattices are also discussed.