Scaling Properties of Weakly Self-Avoiding Fractional Brownian Motion in One Dimension
Computational Physics
2016-01-26 v1 Statistical Mechanics
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.
Keywords
Cite
@article{arxiv.1501.02326,
title = {Scaling Properties of Weakly Self-Avoiding Fractional Brownian Motion in One Dimension},
author = {Wolfgang Bock and Jinky Bornales and Cresente Cabahug and Samuel Eleutério and Ludwig Streit},
journal= {arXiv preprint arXiv:1501.02326},
year = {2016}
}