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Position space renormalisation group for aggregation fractals
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Ball, Robin and Thompson, B. R. (1984) Position space renormalisation group for aggregation fractals. Journal of Physics A: Mathematical and General, Vol.17 (No.18). L951-L956. doi:10.1088/0305-4470/17/18/003 ISSN 0305-4470.
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Official URL: http://dx.doi.org/10.1088/0305-4470/17/18/003
Abstract
A simple position space renormalisation group scheme is used to find the fractal dimension of Sutherland type aggregation clusters grown in low-dimensional space. Clusters which move along paths of fractal dimension dW=0, 1, 2 are considered and a systematic variation in cluster fractal dimension matching that of recent computer simulation is found.
| Item Type: | Journal Article | ||||
|---|---|---|---|---|---|
| Subjects: | Q Science > QC Physics Q Science > QD Chemistry |
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| Divisions: | Faculty of Science, Engineering and Medicine > Science > Physics | ||||
| Library of Congress Subject Headings (LCSH): | Renormalization group, Aggregation (Chemistry), Fractals | ||||
| 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.18 | ||||
| Page Range: | L951-L956 | ||||
| DOI: | 10.1088/0305-4470/17/18/003 | ||||
| Status: | Peer Reviewed | ||||
| Publication Status: | Published |
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