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Scaling Properties of Weakly Self-Avoiding Fractional Brownian Motion in One Dimension

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.

preprint2015arXivOpen access
Wolfgang BockJinky BornalesCresente CabahugSamuel EleutérioLudwig Streit
cond-mat.stat-mechphysics.comp-ph
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Wolfgang BockJinky BornalesCresente CabahugSamuel EleutérioLudwig Streit

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