Evidence for geometry-dependent universal fluctuations of the Kardar-Parisi-Zhang interfaces in liquid-crystal turbulence

We provide a comprehensive report on scale-invariant fluctuations of growing interfaces in liquid-crystal turbulence, for which we recently found evidence that they belong to the Kardar-Parisi-Zhang (KPZ) universality class for 1+1 dimensions [Phys. Rev. Lett. 104, 230601 (2010); Sci. Rep. 1, 34 (2011)]. Here we investigate both circular and flat interfaces and report their statistics in detail. First we demonstrate that their fluctuations show not only the KPZ scaling exponents but beyond: they asymptotically share even the precise forms of the distribution function and the spatial correlation function in common with solvable models of the KPZ class, demonstrating also an intimate relation to random matrix theory. We then determine other statistical properties for which no exact theoretical predictions were made, in particular the temporal correlation function and the persistence probabilities. Experimental results on finite-time effects and extreme-value statistics are also presented. Throughout the paper, emphasis is put on how the universal statistical properties depend on the global geometry of the interfaces, i.e., whether the interfaces are circular or flat. We thereby corroborate the powerful yet geometry-dependent universality of the KPZ class, which governs growing interfaces driven out of equilibrium.Comment: 31 pages, 21 figures, 1 table; references updated (v2,v3); Fig.19 updated & minor changes in text (v3); final version (v4); J. Stat. Phys. Online First (2012

Urinary excretion of acetylcyanamide in rat and human after oral and dermal application of hydrogen cyanamide (H₂NCN).

The main urinary metabolite of hydrogen cyanamide (syn.: cyanamide) in rat and man is acetylcyanamide (syn.: N-acetylcyanamide). An analytical method was developed to determine acetylcyanamide in the urine with a limit of quantification of <10 μg/l (mean recovery 96.1 % using spikes of 20 μg/l; relative standard deviation <4%). This methodology is based upon ion chromatography using column-switch techniques and UV detection. It could be demonstrated that in rats an average of 45.6% of oral applied cyanamide (10 mg/kg) was excreted in the urine as acetylcyanamide. In male human volunteers a mean of 40% of oral administered cyanamide (mean dose 0.25 mg/kg body weight) was excreted via the urine as acetylcyanamide. The same group of volunteers participated in a skin absorption study with dermal application of the above cyanamide dose onto a skin surface area of 32 cm2. Within an application period of 6 h an average cyanamide quantity of 2.3 mg was available for skin absorption. A mean portion of 7.7% of this quantity was found as acetylcyanamide in the urine of the participants. Findings from literature state that cyanamide is metabolized in vitro to cyanide. According to examinations performed in vivo, however, such a metabolic pathway seems to be irrelevant for man. In comparison with the control values there was no significant increase of both the cyanide concentrations in the blood and the thiocyanate concentrations in the urine of the above volunteers after the described oral cyanamide administration