Multiscaling in the sequence of areas enclosed by coalescing random walkers
Statistical Mechanics
2007-06-13 v1
Abstract
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.
Keywords
Cite
@article{arxiv.cond-mat/0702684,
title = {Multiscaling in the sequence of areas enclosed by coalescing random walkers},
author = {Peter Welinder and Gunnar Pruessner and Kim Christensen},
journal= {arXiv preprint arXiv:cond-mat/0702684},
year = {2007}
}
Comments
19 pages, 8 figures, IOP style