On numerical realizability of thermal convection

Astounded at the regularity of convective structures observed in simulations of mesoscale flow past realistic topography, we investigate the computational aspects of a classical problem of flow over a heated plane. We find that the numerical solutions are sensitive to viscosity, either incorporated a priori or effectively realized in computational models. In particular, anisotropic viscosity can lead to regular convective structures that mimic naturally realizable Rayleigh–Bénard cells, which are unphysical for the specified external parameter range. Details of the viscosity appear to play a secondary role; that is, similar structures can occur for prescribed constant viscosities, explicit subgrid-scale turbulence models, ad-hoc numerical filters, or implicit dissipation of numerical schemes. This implies the need for a careful selection of numerical tools suitable for convection-resolving simulations of atmospheric circulations. The implicit large-eddy-simulation (ILES) approach using non-oscillatory schemes is especially attractive, as for under-resolved calculations it reproduces well the coarsened results of finely-resolved boundary layer convection.     

Surface‐enhanced Raman scattering study of monolayers formed from mixtures of 4–mercaptobenzoic acid and various aromatic mercapto‐derivative bases

Monolayers formed from aromatic compounds have many potential applications, for example in construction of bioelectronic elements having high efficiency of electron transfer. In this paper, the composition of monolayers formed on silver surfaces from mixtures of 4‐mercaptobenzoic acid (MBA) and four model (stable and easily available) aromatic thiols with strong base properties: 4,6‐diamino‐2‐mercaptopyrimidine (APY), 1H‐1,2,4‐triazole‐3‐thiol (HTR), 4‐methyl‐4H‐1,2,4‐triazole‐3‐thiol (MTR) and 3‐amino‐1,2,4‐triazole‐5‐thiol (ATR), were determined from surface‐enhanced Raman scattering (SERS) measurements. Our investigations showed that among studied aromatic bases, APY is the most promising candidate for the formation of mixed monolayers with MBA. In the whole pH range studied (2–12.5), mixed MBA + APY monolayers with similar surface concentration of both components are formed during the adsorption from the 0.5 mM MBA + 0.5 mM APY aqueous solution. Desorption of MBA and APY from the mixed monolayer is, however, significantly different. During immersion in water, surface concentration of APY decreases significantly faster than MBA (a significant part of the adsorbed MBA molecules is present on the silver surface even after 2 h of soaking in water). Presence of chlorides, bovine serum albumin or laccase in the surrounding solution does not observably influence the structure of MBA + APY monolayers. The properties of monolayers formed from MBA and substituted triazoles were found to be significantly different than those of MBA + APY monolayers. Copyright © 2009 John Wiley & Sons, Ltd.     

Aspects of Pre-quantum Description of Deformed Theories

We discuss deformations of the classical systems in the phase space and show that one can use non-canonical transformations to relate regular and deformed models. On the other hand some of the models can be obtained as a classical limit of the deformed quantum models, i.e. as the result of the dequantization procedure. Nonrelativistic deformations are described.     

Kinoform sampling filter

We present a new phase element which has the same optical properties as those of the amplitude sampling filter but it can use theoretically all the incident light for multiple image formation. The paper discusses a design method of the element and a diffraction efficiency of its structure obtained in a lithographic process. Then the quality and imaging ability of a phase element, fabricated according to the described design, are verified in an optical set-up.     

New approach to solution of photorefractive transport equations

In our work we propose a novel method of analysis of photorefractive transport equations. The method based on a perturbative approach can be used in the case of two wave mixing and four wave mixing geometry, i.e. for the samples illuminated by interference patterns. Presented approach can be employed for a broad range of material and experimental parameters, particularly for arbitrary depth of light modulation pattern. The approximate analytical solution is compared with results of numerical calculations and a good agreement practically in every case was found. Presented at 9-th International Workshop on Nonlinear Optics Applications, NOA 2007, May 17–20, 2007, Šwinoujście, Poland     

On the asymptotic behavior of dynamical maps for a finite quantum system

We give some remarks on the dynamical evolution (also nonlinear) of finite quantum system. We are interested int-asymptotic behavior of density matrices in the Liouville space formalism and we show that for nonlinear dynamical semigroups, as well as for the dynamical maps that do not form semigroups, the stationary time evolution may be attained for finite time in contrast to the motion generated by the linear dynamical semigroup. Recently the problem of constructing a nonlinear analog of quantum mechanics with nonlinear wave equation playing the role of the Schrödinger equation has been investigated by some authors; see for example Mielnik (1974), Bergmann (1968). Our work is related to this investigation and gives a characteristic feature of the nonlinear time evolution.     

Potentiometrische Bestimmung von Seltenen Erden (z. B. Erbium)

Zusammenfassung Eine schnelle und zuverlässige, potentiometrische Titrationsmethode zur Bestimmung von Erbium mit Ammoniumoxalatlösung in wäßrig-acetonischem Medium im Verhältnis 11 wurde ausgearbeitet. Man titriert in dem System Pt | ErCl₃ | Hg₂Cl₂ + KCl | Hg. Der Potentialsprung im Äquivalenzsättigungspunkt ist bereits auf Zugabe eines Tropfens Reagenslösung sehr deutlich. Der Meßfehler überschreitet nicht die Grenzen ±0,5%.Die Methode ist bei Metallionen, die mit Ammoniumoxalat schwerlösliche Niederschläge bilden, nicht anwendbar.

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Summary A rapid and accurate method for the potentiometric titration of erbium by means of ammonium oxalate solution in a water-acetone medium (11) has been worked out. The system Pt | ErCl₃ | Hg₂Cl₂ + KCl | Hg was used. The potential jump at the neutral point is distinct, even if only one drop of the reagent is added. The error of the measurement is not greater than ±0,5%- Metal ions forming insoluble precipitates with ammonium oxalate interfere with this method.

     

A Simple Synthesis of 2-Phenylethynyl- and 2-Phenylthioethynyl-2-substituted Phenylacetonitriles Under Phase-Transfer Catalytic (PTC) Conditions

The efficient synthesis of 2-phenylethynyl- or 2-phenylthioethynyl-2-substituted phenylacetonitriles 4 and 5 from nitriles 3 and substituted dichloroethenes 1 or 2, respectively, in the presence of 50% aqueous sodium hydroxide and tetrabutylammonium hydrogen sulphate (TBAHS) as a catalyst (phase-transfer catalysis, PTC), has been accomplished.     

Electroweak radiative corrections to muon capture

Electroweak radiative corrections to muon capture on nuclei are computed and found to be sizable. They enhance the capture rates for hydrogen and helium by 2.8% and 3.0%, respectively. As a result, the value of the induced pseudoscalar coupling, g(P)(exp), extracted from a recent hydrogen 1S singlet capture experiment is increased by about 21% to g(P)(exp)=7.3+/-1.2 and brought into good agreement with the prediction of chiral perturbation theory, g(P)(theory)=8.2+/-0.2. Implications for helium capture rate predictions are also discussed.