Geometrical Properties of Loops and Cluster Boundaries
| dc.creator | Cardy, John | |
| dc.date | 1994-09-19 | |
| dc.date.accessioned | 2026-07-07T03:07:27Z | |
| dc.date.available | 2026-07-07T03:07:27Z | |
| dc.description | We discuss how the statistical properties of the area and radius of gyration of single self-avoiding loops, and of Ising and percolation cluster boundaries, may be calculated using ideas of two-dimensional field theory. For cluster boundaries, we show that almost all loops have area $C\ln L+O(1)$, where $L$ is the size of the system, and $C$ is a calculable constant. We also compute the universal ratios $\langle A\rangle_\ell/\langle R^2\rangle_\ell$ of the area to the squared radius of gyration of loops of a given large perimeter $\ell$. | |
| dc.description | 13 pages, 2 figures. Two lectures presented at 1994 Les Houches Summer School ``Fluctuating Geometries in Statistical Mechanics and Field Theory'' (also available at http://xxx.lanl.gov/lh94/ ) | |
| dc.identifier | https://arxiv.org/abs/cond-mat/9409094 | |
| dc.identifier | http://arxiv.org/abs/cond-mat/9409094 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/27177 | |
| dc.subject | Condensed Matter | |
| dc.subject | High Energy Physics - Theory | |
| dc.title | Geometrical Properties of Loops and Cluster Boundaries | |
| dc.type | text |