Scaling Properties of Weakly Self-Avoiding Fractional Brownian Motion in One Dimension
arXiv:1501.02326 · doi:10.1007/s10955-015-1368-9
Abstract
We use an off-lattice discretization of fractional Brownian motion and a Metropolis Algorithm to determine the asymptotic scaling of this discretized fractional Brownian motion under the influence of an excluded volume as in the Edwards and Domb-Joyce models. We find a good agreement between the Flory index describing the scaling of end-to-end length with a mean field formula proposed earlier for this class of models.