Critical exponents of plane meanders
| dc.creator | Jensen, Iwan | |
| dc.creator | Guttmann, Anthony J | |
| dc.date | 2000-04-19 | |
| dc.date.accessioned | 2026-07-07T02:37:25Z | |
| dc.date.available | 2026-07-07T02:37:25Z | |
| dc.description | Meanders form a set of combinatorial problems concerned with the enumeration of self-avoiding loops crossing a line through a given number of points, $n$. Meanders are considered distinct up to any smooth deformation leaving the line fixed. We use a recently developed algorithm, based on transfer matrix methods, to enumerate plane meanders. This allows us to calculate the number of closed meanders up to $n=48$, the number of open meanders up to $n=43$, and the number of semi-meanders up to $n=45$. The analysis of the series yields accurate estimates of both the critical point and critical exponent, and shows that a recent conjecture for the exact value of the semi-meander critical exponent is unlikely to be correct, while the conjectured exponent value for closed and open meanders is not inconsistent with the results from the analysis. | |
| dc.description | 8 pages, 4 eps figures | |
| dc.identifier | https://arxiv.org/abs/cond-mat/0004321 | |
| dc.identifier | http://arxiv.org/abs/cond-mat/0004321 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/16281 | |
| dc.subject | Statistical Mechanics | |
| dc.subject | Mathematical Physics | |
| dc.title | Critical exponents of plane meanders | |
| dc.type | text |