Multiscaling in the sequence of areas enclosed by coalescing random walkers

Details Multiscaling in the sequence of areas enclosed by coalescing random walkers Multiscaling in the sequence of areas enclosed by coalescing random walkers

2007-02-28

arxiv.org/abs/cond-mat/0702684v1

New J. Phys. 9, 149 (2007)

Physics

Condensed Matter

Statistical Mechanics

19 pages, 8 figures, IOP style

Scientific paper

10.1088/1367-2630/9/5/149

We address the question 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.

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