Distribution of extremes in the fluctuations of two-dimensional equilibrium interfaces
| dc.creator | Lee, Deok-Sun | |
| dc.date | 2005-04-25 | |
| dc.date | 2005-10-06 | |
| dc.date.accessioned | 2026-07-07T06:21:02Z | |
| dc.date.available | 2026-07-07T06:21:02Z | |
| dc.description | We investigate the statistics of the maximal fluctuation of two-dimensional Gaussian interfaces. Its relation to the entropic repulsion between rigid walls and a confined interface is used to derive the average maximal fluctuation $<m> \sim \sqrt{2/(πK)} \ln N$ and the asymptotic behavior of the whole distribution $P(m) \sim N^2 e^{-{\rm (const)} N^2 e^{-\sqrt{2πK} m} - \sqrt{2πK} m}$ for $m$ finite with $N^2$ and $K$ the interface size and tension, respectively. The standardized form of $P(m)$ does not depend on $N$ or $K$, but shows a good agreement with Gumbel's first asymptote distribution with a particular non-integer parameter. The effects of the correlations among individual fluctuations on the extreme value statistics are discussed in our findings. | |
| dc.description | 4 pages, 4 figures, final version in PRL | |
| dc.identifier | https://arxiv.org/abs/cond-mat/0504624 | |
| dc.identifier | http://arxiv.org/abs/cond-mat/0504624 | |
| dc.identifier | Phys. Rev. Lett. 95, 150601 (2005) | |
| dc.identifier | doi:10.1103/PhysRevLett.95.150601 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/95476 | |
| dc.subject | Statistical Mechanics | |
| dc.title | Distribution of extremes in the fluctuations of two-dimensional equilibrium interfaces | |
| dc.type | text |