Extreme order statistics

✍ Scribed by Wolfhard Janke; Bernd A. Berg; Alain Billoire

• Publisher: Elsevier Science
• Year: 2003
• Tongue: English
• Weight: 265 KB
• Volume: 119
• Category: Article
• ISSN: 0920-5632
• DOI: 10.1016/s0920-5632(03)01705-5

✦ Synopsis

Extreme order statistics has recently been conjectured to be of relevance for a large class of correlated systems, including critical phenomena, turbulent flow problems, some self-organized systems, percolation and other models of lattice field theory. For certain probability densities the theory predicts the characteristic large I fall-off behavior f(z) 0; exp(-ae2), a > 0, usually called Gumbel's first asymptote. Using the multi-overlap algorithm we have tested this prediction over many decades for the overlap distribution P(q) of (i) the Edwards-Anderson Ising spin glass and (ii) the standard Ising model in three dimensions.