Some Travelling Wave Solutions of KdV-Burgers Equation

In this paper we study the extended Tanh method to obtain some exact solutions of KdV-Burgers equation. The principle of the Tanh method has been explained and then apply to the nonlinear KdV- Burgers evolution equation. A finnite power series in tanh is considered as an ansatz and the symbolic computational system is used to obtain solution of that nonlinear evolution equation. The obtained solutions are all travelling wave solutions.

The Wage Rate and the Profit Rate in the Price of Production Equation: a New Solution to an Old Problem

The aim of this paper is to demonstrate that, even if Marx's solution to the transformation problem can be modified, his basic concusions remain valid.

Nanopatterning and functionalization of phospholipid-based Langmuir-Blodgett and Langmuir-Schaefer films

Durant les dernières décennies, la technique Langmuir-Blodgett (LB) s’est beaucoup développée dans l’approche « bottom-up » pour la création de couches ultra minces nanostructurées. Des patrons constitués de stries parallèles d’environ 100 à 200 nm de largeur ont été générés avec la technique de déposition LB de monocouches mixtes de 1,2-dilauroyl-sn-glycéro-3-phosphatidylcholine (DLPC) et de 1,2-dipalmitoyl-sn-glycéro-3-phosphatidylcholine (DPPC) sur des substrats de silicium et de mica. Afin d’amplifier la fonctionnalité de ces patrons, la 1-palmitoyl-2-(16-(S-methyldithio)hexadécanoyl)-sn-glycéro-3-phosphatidylcholine (DSDPPC) et la 1-lauroyl-2-(12-(S-methyldithio)dodédecanoyl)-sn-glycéro-3-phosphatidylcholine (DSDLPC) ont été employées pour la préparation de monocouches chimiquement hétérogènes. Ces analogues de phospholipide possèdent un groupement fonctionnel méthyldisulfide qui est attaché à la fin de l’une des chaînes alkyles. Une étude exhaustive sur la structure de la phase des monocouches Langmuir, Langmuir-Schaefer (LS) et LB de la DSDPPC et de la DSDLPC et leurs différents mélanges avec la DPPC ou la DLPC est présentée dans cette thèse. Tout d’abord, un contrôle limité de la périodicité et de la taille des motifs des stries parallèles de DPPC/DLPC a été obtenu en variant la composition lipidique, la pression de surface et la vitesse de déposition. Dans un mélange binaire de fraction molaire plus grande de lipide condensé que de lipide étendu, une vitesse de déposition plus lente et une plus basse pression de surface ont généré des stries plus continues et larges. L’addition d’un tensioactif, le cholestérol, au mélange binaire équimolaire de la DPPC/DLPC a permis la formation de stries parallèles à de plus hautes pressions de surface. La caractérisation des propriétés physiques des analogues de phospholipides a été nécessaire. La température de transition de phase de la DSDPPC de 44.5 ± 1.5 °C comparativement à 41.5 ± 0.3 °C pour la DPPC. L’isotherme de la DSDPPC est semblable à celui de la DPPC. La monocouche subit une transition de phase liquide-étendue-à-condensée (LE-C) à une pression de surface légèrement supérieure à celle de la DPPC (6 mN m-1 vs. 4 mN m-1) Tout comme la DLPC, la DSDLPC demeure dans la phase LE jusqu’à la rupture de la monocouche. Ces analogues de phospholipide existent dans un état plus étendu tout au long de la compression de la monocouche et montrent des pressions de surface de rupture plus basses que les phospholipides non-modifiés. La morphologie des domaines de monocouches Langmuir de la DPPC et de la DSDPPC à l’interface eau/air a été comparée par la microscopie à angle de Brewster (BAM). La DPPC forme une monocouche homogène à une pression de surface (π) > 10 mN/m, alors que des domaines en forme de fleurs sont formés dans la monocouche de DSDPPC jusqu’à une π ~ 30 mN m-1. La caractérisation de monocouches sur substrat solide a permis de démontrer que le patron de stries parallèles préalablement obtenu avec la DPPC/DLPC était reproduit en utilisant des mélanges de la DSDPPC/DLPC ou de la DPPC/DSDLPC donnant ainsi lieu à des patrons chimiquement hétérogènes. En général, pour obtenir le même état de phase que la DPPC, la monocouche de DSDPPC doit être comprimée à de plus hautes pressions de surface. Le groupement disulfide de ces analogues de phospholipide a été exploité, afin de (i) former des monocouches auto-assemblées sur l’or et de (ii) démontrer la métallisation sélective des terminaisons fonctionnalisées des stries. La spectrométrie de photoélectrons induits par rayons X (XPS) a confirmé que la monocouche modifiée réagit avec la vapeur d’or pour former des thiolates d’or. L’adsorption de l’Au, de l’Ag et du Cu thermiquement évaporé démontre une adsorption préférentielle de la vapeur de métal sur la phase fonctionnalisée de disulfide seulement à des recouvrements sub-monocouche.

Study of Langmuir-Blodgett Films of Self-Assembled Diblock Copolymers

L'auto-assemblage des copolymères à bloc (CPBs) attire beaucoup d'intérêt grâce à leur capacité de générer spontanément des matériaux ordonnés avec des propriétés uniques. Les techniques Langmuir-Blodgett (LB) et Langmuir-Schaefer (LS) sont couramment utilisées pour produire des monocouches ou des films ultraminces à l'interface air/eau suivi de transfert aux substrats solides. Les films LB/LS de CPBs amphiphiles s'auto-assemblent dans des morphologies variables dépendamment de la composition du CPB ainsi que d'autres facteurs. Dans notre travail, nous avons étudié les films LB/LS de polystyrène-b-poly(4-vinyl pyridine) (PS-P4VP) et leurs complexes supramoléculaires avec le naphtol (NOH), l'acide naphtoïque (NCOOH) et le 3-n-pentadécylphenol (PDP). La première partie de ce mémoire est consacré à l'investigation du PS-P4VP complexé avec le NOH et le NCOOH, en comparaison avec le PS-P4VP seul. Il a été démontré qu'un plateau dans l'isotherme de Langmuir, indicatif d'une transition de premier ordre, est absent à des concentrations élevées des solutions d'étalement des complexes. Cela a été corrélé avec l'absence de morphologie en nodules avec un ordre 2D hexagonal à basse pression de surface. L'ordre au-delà de la pression de cette transition, lorsque présente, change à un ordre 2D carré pour tout les systèmes. La deuxième partie du la mémoire considère à nouveau le système PS-P4VP/ PDP, pour lequel on a démontré antérieurement que la transition dans l'isotherme correspond a une transition 2D d'un ordre hexagonal à un ordre carré. Cela est confirmé par microscopie à force atomique, et, ensuite, on a procédé à une étude par ATR-IR des films LB pour mieux comprendre les changements au niveau moléculaire qui accompagnent cette transition. Il a été constaté que, contrairement à une étude antérieure dans la littérature sur un autre système, il n'y a aucun changement dans l'orientation des chaînes alkyles. Au lieu de cela, on a découvert que, aux pressions au-delà de celle de la transition, le groupe pyridine, qui est orienté à basse pression, devient isotrope et qu'il y a une augmentation des liaisons hydrogènes phénol-pyridine. Ces observations sont rationalisées par un collapse partiel à la pression de transition de la monocouche P4VP, qui à basse pression est ordonné au niveau moléculaire. Cette étude a mené à une meilleure compréhension des mécanismes moléculaires qui se produisent à l'interface air/eau, ce qui fournit une meilleure base pour la poursuite des applications possibles des films LB/LS dans les domaines de nanotechnologie.

Characterization of radio frequency plasma using Langmuir probe and optical emission spectroscopy

The radio frequency plasma generated during the sputtering of Indium Tin Oxide target using Argon was analyzed by Langmuir probe and optical-emission spectroscopy. The basic plasma parameters such as electron temperature and ion density were evaluated. These studies were carried out by varying the RF power from 20 to 50 W. A linear increase in ion density and an exponential decrease in electron temperature with rf power were observed. The measured plasma parameters were then correlated with the properties of ITO thin films deposited under similar plasma conditions.

Studies on Laser Induced and RF Sputtered Plasma using Optical Emission Spectroscopy and Langmuir Probe

The main objective of the present study is to understand different mechanisms involved in the production and evolution of plasma by the pulsed laser ablation and radio frequency magnetron sputtering. These two methods are of particular interest, as these are well accomplished methods used for surface coatings, nanostructure fabrications and other thin film devices fabrications. Material science researchers all over the world are involved in the development of devices based on transparent conducting oxide (TCO) thin films. Our laboratory has been involved in the development of TCO devices like thin film diodes using zinc oxide (ZnO) and zinc magnesium oxide (ZnMgO), thin film transistors (TFT's) using zinc indium oxide and zinc indium tin oxide, and some electroluminescent (EL) devices by pulsed laser ablation and RF magnetron sputtering.In contrast to the extensive literature relating to pure ZnO and other thin films produced by various deposition techniques, there appears to have been relatively little effort directed towards the characterization of plasmas from which such films are produced. The knowledge of plasma dynamics corresponding to the variations in the input parameters of ablation and sputtering, with the kind of laser/magnetron used for the generation of plasma, is limited. To improve the quality of the deposited films for desired application, a sound understanding of the plume dynamics, physical and chemical properties of the species in the plume is required. Generally, there is a correlation between the plume dynamics and the structural properties of the films deposited. Thus the study of the characteristics of the plume contributes to a better understanding and control of the deposition process itself. The hydrodynamic expansion of the plume, the composition, and SIze distribution of clusters depend not only on initial conditions of plasma production but also on the ambient gas composition and pressure. The growth and deposition of the films are detennined by the thermodynamic parameters of the target material and initial conditions such as electron temperature and density of the plasma.For optimizing the deposition parameters of various films (stoichiometric or otherwise), in-situ or ex-situ monitoring of plasma plume dynamics become necessary for the purpose of repeatability and reliability. With this in mind, the plume dynamics and compositions of laser ablated and RF magnetron sputtered zinc oxide plasmas have been investigated. The plasmas studied were produced at conditions employed typically for the deposition of ZnO films by both methods. Apart from this two component ZnO plasma, a multi-component material (lead zirconium titanate) was ablated and plasma was characterized.

Closure of the Monte Carlo dynamical equation in the spherical Sherrington-Kirkpatrick model

We study the analytical solution of the Monte Carlo dynamics in the spherical Sherrington-Kirkpatrick model using the technique of the generating function. Explicit solutions for one-time observables (like the energy) and two-time observables (like the correlation and response function) are obtained. We show that the crucial quantity which governs the dynamics is the acceptance rate. At zero temperature, an adiabatic approximation reveals that the relaxational behavior of the model corresponds to that of a single harmonic oscillator with an effective renormalized mass.

A generic polynomial solution for the differential equation of hypergeometric type and six sequences of orthogonal polynomials related to it

In this work, we present a generic formula for the polynomial solution families of the well-known differential equation of hypergeometric type s(x)y"n(x) + t(x)y'n(x) - lnyn(x) = 0 and show that all the three classical orthogonal polynomial families as well as three finite orthogonal polynomial families, extracted from this equation, can be identified as special cases of this derived polynomial sequence. Some general properties of this sequence are also given.

Solution properties of the de Branges differential recurrence equation

In this 1984 proof of the Bieberbach and Milin conjectures de Branges used a positivity result of special functions which follows from an identity about Jacobi polynomial sums thas was published by Askey and Gasper in 1976. The de Branges functions Tn/k(t) are defined as the solutions of a system of differential recurrence equations with suitably given initial values. The essential fact used in the proof of the Bieberbach and Milin conjectures is the statement Tn/k(t)<=0. In 1991 Weinstein presented another proof of the Bieberbach and Milin conjectures, also using a special function system Λn/k(t) which (by Todorov and Wilf) was realized to be directly connected with de Branges', Tn/k(t)=-kΛn/k(t), and the positivity results in both proofs Tn/k(t)<=0 are essentially the same. In this paper we study differential recurrence equations equivalent to de Branges' original ones and show that many solutions of these differential recurrence equations don't change sign so that the above inequality is not as surprising as expected. Furthermore, we present a multiparameterized hypergeometric family of solutions of the de Branges differential recurrence equations showing that solutions are not rare at all.

Solution of the time dependent Dirac-Fock-Slater equation for many-electron collisions systems using a time window method

We present a new scheme to solve the time dependent Dirac-Fock-Slater equation (TDDFS) for heavy many electron ion-atom collision systems. Up to now time independent self consistent molecular orbitals have been used to expand the time dependent wavefunction and rather complicated potential coupling matrix elements have been neglected. Our idea is to minimize the potential coupling by using the time dependent electronic density to generate molecular basis functions. We present the first results for 16 MeV S{^16+} on Ar.

Predicting random level and seasonality of hotel prices. A structural equation growth curve approach

This article examines the effect on price of different characteristics of holiday hotels in the sun-and-beach segment, under the hedonic function perspective. Monthly prices of the majority of hotels in the Spanish continental Mediterranean coast are gathered from May to October 1999 from the tour operator catalogues. Hedonic functions are specified as random-effect models and parametrized as structural equation models with two latent variables, a random peak season price and a random width of seasonal fluctuations. Characteristics of the hotel and the region where they are located are used as predictors of both latent variables. Besides hotel category, region, distance to the beach, availability of parking place and room equipment have an effect on peak price and also on seasonality. 3- star hotels have the highest seasonality and hotels located in the southern regions the lowest, which could be explained by a warmer climate in autumn

Application of the european customer satisfaction index to postal services. Structural equation models versus partial least squars

Customer satisfaction and retention are key issues for organizations in today’s competitive market place. As such, much research and revenue has been invested in developing accurate ways of assessing consumer satisfaction at both the macro (national) and micro (organizational) level, facilitating comparisons in performance both within and between industries. Since the instigation of the national customer satisfaction indices (CSI), partial least squares (PLS) has been used to estimate the CSI models in preference to structural equation models (SEM) because they do not rely on strict assumptions about the data. However, this choice was based upon some misconceptions about the use of SEM’s and does not take into consideration more recent advances in SEM, including estimation methods that are robust to non-normality and missing data. In this paper, both SEM and PLS approaches were compared by evaluating perceptions of the Isle of Man Post Office Products and Customer service using a CSI format. The new robust SEM procedures were found to be advantageous over PLS. Product quality was found to be the only driver of customer satisfaction, while image and satisfaction were the only predictors of loyalty, thus arguing for the specificity of postal services

Psychosocial sources of stress and burnout in the consruction sector : a structural equation model. 'Fuentes psicosociales de estr??s y burnout en el sector de la construcci??n : un modelo de ecuaciones estructurales'

Resumen tomado de la publicaci??n. Resumen tambi??n en ingl??s