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Multiscaling in the sequence of areas enclosed by coalescing random walkers
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Welinder, Peter, Pruessner, Gunnar and Christensen, Kim (2007) Multiscaling in the sequence of areas enclosed by coalescing random walkers. New Journal of Physics, Vol.9 . Article: 149. doi:10.1088/1367-2630/9/5/149 ISSN 1367-2630.
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Official URL: http://dx.doi.org/10.1088/1367-2630/9/5/149
Abstract
We address the question of whether the sequence of areas between coalescing random walkers displays multiscaling and in the process calculate the second moment as well as the two point correlation function exactly. The scaling of higher order correlation functions is estimated numerically, indicating a logarithmic dependence on the system size. Together with the analytical results, this confirms the presence of multiscaling.
Item Type: | Journal Article | ||||
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Subjects: | Q Science > QC Physics | ||||
Divisions: | Faculty of Science, Engineering and Medicine > Science > Mathematics | ||||
Journal or Publication Title: | New Journal of Physics | ||||
Publisher: | IOP Publishing | ||||
ISSN: | 1367-2630 | ||||
Official Date: | 23 May 2007 | ||||
Dates: |
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Volume: | Vol.9 | ||||
Number of Pages: | 18 | ||||
Page Range: | Article: 149 | ||||
DOI: | 10.1088/1367-2630/9/5/149 | ||||
Status: | Peer Reviewed | ||||
Publication Status: | Published | ||||
Access rights to Published version: | Open Access (Creative Commons) |
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