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DY: Dynamik und Statistische Physik
DY 46: Poster
DY 46.100: Poster
Thursday, March 30, 2006, 16:00–18:00, P1
Distribution of extremes in the fluctuations of two-dimensional equilibrium interfaces — •Deok-Sun Lee — Theoretische Physik, Universität des Saarlandes,* 66041 Saarbrücken, Germany
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⟩ ∼ √2/(π K) lnN and the asymptotic behavior of the whole distribution P(m) ∼ N2 e−(const) N2 e−√2π K m − √2π K m for m finite with N2 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.