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Resistance and related scaling properties of self-avoiding random walks
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Ball, Robin and Cates, M. E. (Michael E.) (1984) Resistance and related scaling properties of self-avoiding random walks. Journal of Physics A: Mathematical and General, Vol.17 (No.10). L531-L535. doi:10.1088/0305-4470/17/10/003 ISSN 0305-4470.
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Official URL: http://dx.doi.org/10.1088/0305-4470/17/10/003
Abstract
Three scaling exponents for random and self-avoiding chains are studied by direct renormalisation. These describe the end-to-end resistance of a conducting chain; the arc length of the shortest path traceable between the chain ends; and the arc length of chain in no loop. The scaling behaviours of these quantities are identical to first order in epsilon =4-d. (d is the space dimension). For a long self-avoiding chain, the authors predict that each one one is proportional to the chain length.
| Item Type: | Journal Article | ||||
|---|---|---|---|---|---|
| Subjects: | Q Science > QA Mathematics Q Science > QC Physics |
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| Divisions: | Faculty of Science, Engineering and Medicine > Science > Physics | ||||
| Library of Congress Subject Headings (LCSH): | Self-avoiding walks (Mathematics), Mathematical physics | ||||
| Journal or Publication Title: | Journal of Physics A: Mathematical and General | ||||
| Publisher: | Institute of Physics Publishing Ltd. | ||||
| ISSN: | 0305-4470 | ||||
| Official Date: | 1984 | ||||
| Dates: |
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| Volume: | Vol.17 | ||||
| Number: | No.10 | ||||
| Page Range: | L531-L535 | ||||
| DOI: | 10.1088/0305-4470/17/10/003 | ||||
| Status: | Peer Reviewed | ||||
| Publication Status: | Published |
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