A New Finite-Size Scaling Approach to Random Walks
Condensed Matter
2009-10-22 v1
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.
Keywords
Cite
@article{arxiv.cond-mat/9309020,
title = {A New Finite-Size Scaling Approach to Random Walks},
author = {Achille Giacometti and Hisao Nakanishi},
journal= {arXiv preprint arXiv:cond-mat/9309020},
year = {2009}
}
Comments
26 pages, Revtex 3.0, 9 figures available upon request, Email:[email protected] PURD-TH-93-07