The persistence length of two-dimensional self-avoiding random walks
Eli Eisenberg, A. Baram · Journal of Physics A Mathematical and General · 2003
The decay of directional correlations in self-avoiding random walks on the square lattice is investigated. Analysis of exact enumerations and Monte Carlo data suggest that the correlation between the directions of the first step and the j th step of the walk decays faster than j −1 , indicating that the persistence length of the walk is finite.