Scaling properties of weakly self-avoiding fractional Brownian motion in one dimension

• We use an off-lattice discretization of fractional Brownian motion (fBm) and a Metropolis algorithm to determine the asymptotic scaling of this discretized fBm 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.

Ämnesord

NATURVETENSKAP  -- Matematik -- Sannolikhetsteori och statistik (hsv//swe)

NATURAL SCIENCES  -- Mathematics -- Probability Theory and Statistics (hsv//eng)

Nyckelord

Statistics/Econometrics

Statistik

Publikations- och innehållstyp

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