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arXiv · 1501.02326

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

Wolfgang Bock·Jinky Bornales·Cresente Cabahug·Samuel Eleutério·Ludwig Streit
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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.

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Wolfgang Bock, Jinky Bornales, Cresente Cabahug, Samuel Eleutério, Ludwig Streit. 2015-01-10. Scaling Properties of Weakly Self-Avoiding Fractional Brownian Motion in One Dimension. https://doi.org/10.1007/s10955-015-1368-9

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