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A New Finite-Size Scaling Approach to Random Walks

Achille Giacometti·Hisao Nakanishi
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Abstract

We present a new finite-size scaling method for the random walks (RW) superseeding a previously widely used renormalization group approach, which is shown here to be inconsistent. The method is valid in any dimension and is based on the exact solution for the two-point correlation function and on finite size scaling. As an application, the phase diagram is derived for random walks with a surface-bulk interaction where the system has either a surface or a defect. Possible extensions to disordered systems are also discussed.

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Achille Giacometti, Hisao Nakanishi. 1993-09-16. A New Finite-Size Scaling Approach to Random Walks. https://doi.org/10.1088/0305-4470%2F27%2F7%2F009

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