Convergence in distribution of sums of bivariate Appell polynomials with long-range dependence

Summary Normalized quadratic forms of moving averages converge to double Wiener-Itô integrals if the summands are sufficiently dependent. This result extends to sums of bivariate Appell polynomials of arbitrary degree.This research was supported at Boston University by the National Science Foundation grant DMS-88-05627 and by the AFSOR grant 89-0115     

Pure and impure clays and their firing products

Mössbauer spectroscopy is highly suited for the study of clays whose industrial uses depend on the iron content. Reactions that take place during clay firing can be readily monitored by Mössbauer spectroscopy. Following dehydroxylation of clay minerals, the quadrupole splitting of octahedrally coordinated iron (III) increases abruptly, but reverts to lower values upon the formation of new, better ordered phases at higher temperatures. It is also shown that iron oxides may account for a considerably higher proportion of the total iron content of many clays than is commonly recognized, and their existence must be taken into consideration for a correct interpretation of the Mössbauer spectra of clays.     

An overview of atomic and molecular processes in critical velocityionization

The authors present an overview of the time development of some atomic and molecular processes in critical ionization velocity (CIV). In the preonset stage, metastable states play an important role: they provide an energy pooling mechanism allowing low-energy electrons to participate in the ionization process; they may explain the low energy threshold was well as the fast time scale in the onset of CIV. For a sustaining CIV to occur, Townsend's criterion has to be satisfied. The kinetic energies of the neutrals are transformed to plasma wave energies via beam-plasma instabilities, and the plasma waves that heat the electron result in a tail formation. Excitation of neutrals with subsequent radiation is an important energy loss mechanism. Finite size also limits the instability growth rate. In the propagation of CIV, ion-molecule reactions and molecular dissociative recombination are important     

The effect of non-axial quadrupole forces on the anisotropy of mean-squared force and torque

We report the results of a molecular dynamics study on the effect of non-axial quadrupole forces on the values of (F²_α) and (τ_α²), where α = x, y or z (components of the mean-squared force and torque). The results show that even strong non-axial quadrupolar interactions do not cause any significant anisotropy in (F²) or (τ²).     

Stability evaluation of an accurately controllable multiple injection system

Aiming to further improve diesel engine fuel efficiency and exhaust emissions, we conducted tests of a newly devised rapidly operating secondary actuator that provides controllable multiple injection. Up to six shots per cycle were implemented under high-pressure injection. A high-speed camera and a flow rate metering system were used to obtain quantitative data regarding diesel spray and fuel flow dynamics. The advantages of the applied technique are very stable phasing, dwelling, duration, and dosing of multiple injection shots proved from data analysis.Abbreviations ARB Arbitrary waveform generator - CRIS Common rail injection system - DC Direct current - ECU Electronic control unit - EDU Electronic injection driving unit - fps Frames per second - HP High-pressure - LDA Laser Doppler anemometer (velocimeter) - ROSA Rapidly operating secondary actuator - RPM Revolutions per minute - SOI Start of injection - TDC Top dead center - TTL Transistor–transistor logic     

A Two-Scale Model for Coupled Electro-Chemo-Mechanical Phenomena and Onsager’s Reciprocity Relations in Expansive Clays: II Computational Validation

In Part I Moyne and Murad [Transport in Porous Media 62, (2006), 333–380] a two-scale model of coupled electro-chemo-mechanical phenomena in swelling porous media was derived by a formal asymptotic homogenization analysis. The microscopic portrait of the model consists of a two-phase system composed of an electrolyte solution and colloidal clay particles. The movement of the liquid at the microscale is ruled by the modified Stokes problem; the advection, diffusion and electro-migration of monovalent ions Na⁺ and Cl⁻ are governed by the Nernst–Planck equations and the local electric potential distribution is dictated by the Poisson problem. The microscopic governing equations in the fluid domain are coupled with the elasticity problem for the clay particles through boundary conditions on the solid–fluid interface. The up-scaling procedure led to a macroscopic model based on Onsager’s reciprocity relations coupled with a modified form of Terzaghi’s effective stress principle including an additional swelling stress component. A notable consequence of the two-scale framework are the new closure problems derived for the macroscopic electro-chemo-mechanical parameters. Such local representation bridge the gap between the macroscopic Thermodynamics of Irreversible Processes and microscopic Electro-Hydrodynamics by establishing a direct correlation between the magnitude of the effective properties and the electrical double layer potential, whose local distribution is governed by a microscale Poisson–Boltzmann equation. The purpose of this paper is to validate computationally the two-scale model and to introduce new concepts inherent to the problem considering a particular form of microstructure wherein the clay fabric is composed of parallel particles of face-to-face contact. By discretizing the local Poisson–Boltzmann equation and solving numerically the closure problems, the constitutive behavior of the diffusion coefficients of cations and anions, chemico-osmotic and electro-osmotic conductivities in Darcy’s law, Onsager’s parameters, swelling pressure, electro-chemical compressibility, surface tension, primary/secondary electroviscous effects and the reflection coefficient are computed for a range particle distances and sat concentrations.     

Application of the finite volume method in the simulation of saturated flows of binary Mixtures with particular emphasis on Non-Darcy motions through porous media

Non-Darcy flows in saturated porous media with significative boundary and inertia effects are modelled applying the Continuum Theory of Mixtures approach and simulated by discretization of the governing equations by the finite volume method.

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Sommario Flussi di tipo ‘Non-Darcy’ in mezzi porosi saturi, con significativi effetti di bordo ed inerziali, vengono modellati applicando l'approccio della Teoria delle Miscele per il Continuo e simulati mediante discretizzazione delle equazioni governanti con il metodo del volume finito.

     

An azide-bridged copper(II) 1D-chain with ferromagnetic interactions: synthesis,structure and magnetic studies

A coordination polymer of formula [Cu(μ _1,3-N₃)₂(imH)₂] _n (1) has been synthesized by reaction of Cu(NO₃)₂ with imidazole and sodium azide in CH₃OH/CH₃CN. The complex was characterized by FTIR, elemental analysis, powder diffraction, thermogravimetric analysis, magnetic measurements, and single-crystal X-ray diffraction. The X-ray crystal structure shows that the Cu(II) centers have a distorted octahedral coordination geometry, being coordinated by two imidazole ligands at the trans positions. Each azide links two [Cu(imH)₂]²⁺ units to form 1D zigzag chains. Variable-temperature magnetic susceptibility studies at low field reveal dominant intrachain ferromagnetic/antiferromagnetic interactions. Using a model with n = 10, the coupling parameters J _AF = ?2.95 and J _F = 17.99 with g = 2.12 have been determined.