Non-periodic quasi-stable nonlinear optical carrier pulses with sliding chirp-free points for transmission at 40 Gbit/s rate

In this paper, we demonstrate the possibility of reaching a quasi-stable nonlinear transmission regime with carrier pulses of 12.5 ps width in multi-channel 40 Gbit/s systems. The quasi-stable pulses that are presented in this work for the first time are not dispersion-managed solitons, and are indeed supported by a large normal span average dispersion and misbalanced optical amplification, and representing a new type of nonlinear carrier.

Stability of multi-agent systems

This work attempts to shed light to the fundamental concepts behind the stability of Multi-Agent Systems. We view the system as a discrete time Markov chain with a potentially unknown transitional probability distribution. The system will be considered to be stable when its state has converged to an equilibrium distribution. Faced with the non-trivial task of establishing the convergence to such a distribution, we propose a hypothesis testing approach according to which we test whether the convergence of a particular system metric has occurred. We describe some artificial multi-agent ecosystems that were developed and we present results based on these systems which confirm that this approach qualitatively agrees with our intuition.

The role of pinning and instability in a class of non-equilibrium growth models

We study the dynamics of a growing crystalline facet where the growth mechanism is controlled by the geometry of the local curvature. A continuum model, in (2+1) dimensions, is developed in analogy with the Kardar-Parisi-Zhang (KPZ) model is considered for the purpose. Following standard coarse graining procedures, it is shown that in the large time, long distance limit, the continuum model predicts a curvature independent KPZ phase, thereby suppressing all explicit effects of curvature and local pinning in the system, in the "perturbative" limit. A direct numerical integration of this growth equation, in 1+1 dimensions, supports this observation below a critical parametric range, above which generic instabilities, in the form of isolated pillared structures lead to deviations from standard scaling behaviour. Possibilities of controlling this instability by introducing statistically "irrelevant" (in the sense of renormalisation groups) higher ordered nonlinearities have also been discussed.

Stability of the Iteration Method for non Expansive Mappings

The general iteration method for nonexpansive mappings on a Banach space is considered. Under some assumption of fast enough convergence on the sequence of (“almost” nonexpansive) perturbed iteration mappings, if the basic method is τ−convergent for a suitable topology τ weaker than the norm topology, then the perturbed method is also τ−convergent. Application is presented to the gradient-prox method for monotone inclusions in Hilbert spaces.

Price discrimination in asymmetric Cournot oligopoly

In this article we examine the eects of third degree price discrimination in asymmetric Cournot oligopolies. We show that the average price is not affected by the extent of price discrimination. We nd that the asymmetry between firms is reflected only by the output produced for the lowest-valuation consumers and firms produce equal quantities to the other consumer groups.

Price discrimination in asymmetric Cournot oligopoly

In this article we examine the eects of third degree price discrimination in asymmetric Cournot oligopolies. We show that the average price is not affected by the extent of price discrimination. We nd that the asymmetry between firms is reflected only by the output produced for the lowest-valuation consumers and firms produce equal quantities to the other consumer groups.

The effects of jigsaw cooperative learning on motivation to learn English at Chung -Hwa Institute of Technology, Taiwan

The Ministry of Education (MOE) of the Republic of China in Taiwan considers English to be one of the keys to raising Taiwan's international competitiveness and requires students attending institutes of technology to receive instruction in English as a foreign language (EFL). This study focused on impacts of the use of cooperative learning as a teaching method on EFL learners. The setting was the English classes of Chung-Hwa Institute of Technology (CHIT). The subjects were 77 students from two classes, majoring in Business Administration. ^ The purpose of this study was to determine the differential effects (i.e., achievement in learning English, motivation orientation and intensity, and attitude concerning English language and culture) on students between the traditional Chinese teaching method and the Jigsaw cooperative learning method at CHIT. ^ The research design for the study was quasi-experimental and descriptive. This study utilized three survey instruments and final exam grades to investigate the effect of Jigsaw on the EFL students' competency in English, and on their attitudes about, and level of motivation toward learning English. The independent variable was the instructional method: one class utilized the Jigsaw approach to cooperative learning while the other utilized the traditional Chinese approach. The dependent variables were academic performance, motivation orientation toward English, motivation intensity toward learning English, and attitude toward learning of English and English culture as determined by final exam and questionnaire scores. The questionnaires and exam were administrated at the beginning and end of the semester. ^ Data analysis indicated that students learning cooperatively had higher final course grades and made more integrative statements on the measure of orientation toward learning English than students who learned using the traditional Chinese methods. Participants who learned using cooperative strategies had more positive attitudes about learning English connected with their desire to associate with English speakers and had more positive attitudes about the learning mechanism they experienced than those instructed though traditional Chinese learning strategies. There were no differences between the groups on the measure of motivation intensity. Recommendations were made to improve the use of the Jigsaw method of cooperative learning through both pedagogical and policy modifications. ^

Non-equilibrium induction of tin in germanium: towards direct bandgap Ge1-xSnx nanowires

The development of non-equilibrium group IV nanoscale alloys is critical to achieving new functionalities, such as the formation of a direct bandgap in a conventional indirect bandgap elemental semiconductor. Here, we describe the fabrication of uniform diameter, direct bandgap Ge1-xSnx alloy nanowires, with a Sn incorporation up to 9.2[thinsp]at.%, far in excess of the equilibrium solubility of Sn in bulk Ge, through a conventional catalytic bottom-up growth paradigm using noble metal and metal alloy catalysts. Metal alloy catalysts permitted a greater inclusion of Sn in Ge nanowires compared with conventional Au catalysts, when used during vapour-liquid-solid growth. The addition of an annealing step close to the Ge-Sn eutectic temperature (230[thinsp][deg]C) during cool-down, further facilitated the excessive dissolution of Sn in the nanowires. Sn was distributed throughout the Ge nanowire lattice with no metallic Sn segregation or precipitation at the surface or within the bulk of the nanowires. The non-equilibrium incorporation of Sn into the Ge nanowires can be understood in terms of a kinetic trapping model for impurity incorporation at the triple-phase boundary during growth.

Non-equilibrium properties of trapped ions under sudden application of a laser

Coherent quantum-state manipulation of trapped ions using classical laser fields is a trademark of modern quantum technologies. In this work, we study aspects of work statistics and irreversibility in a single trapped ion due to sudden interaction with the impinging laser. This is clearly an out-of-equilibrium process where work is performed through illumination of an ion by the laser. Starting with the explicit evaluation of the first moments of the work distribution, we proceed to a careful analysis of irreversibility as quantified by the nonequilibrium lag. The treatment employed here is not restricted to the Lamb-Dicke limit, what allows us to investigate the interplay between nonlinearities and irreversibility. We show, for instance, that in the resolved carrier and sideband regimes, variation of the Lamb-Dicke parameter may cause a non-monotonic behavior of the irreversibility indicator. Counterintuitively, we find a working point where nonlinearity helps reversibility, making the sudden quench of the Hamiltonian closer to what would have been obtained quasistatically and isothermally.

Non-equilibrium thermodynamics of harmonically trapped bosons

We apply the framework of non-equilibrium quantum thermodynamics to the physics of quenched small-size bosonic quantum gases in a harmonic trap. By studying the temporal behaviour of the Loschmidt echo and of the atomic density profile within the trap, which are informative of the non-equilibrium physics and the correlations among the particles, we establish a link with the statistics of (irreversible) work done on the system. This highlights interesting connections between the degree of inter-particle entanglement and the non-equilibrium thermodynamics of the system.

Constant wall heat flux boundary conditions in micro-channels filled with porous material with internal heat generation under local thermal non-equilibrium conditions

Forced convection heat transfer in a micro-channel filled with a porous material saturated with rarefied gas with internal heat generation is studied analytically in this work. The study is performed by analysing the boundary conditions for constant wall heat flux under local thermal non-equilibrium (LTNE) conditions. Invoking the velocity slip and temperature jump, the thermal behaviour of the porous-fluid system is studied by considering thermally and hydrodynamically fully-developed conditions. The flow inside the porous material is modelled by the Darcy–Brinkman equation. Exact solutions are obtained for both the fluid and solid temperature distributions for two primary approaches models A and B using constant wall heat flux boundary conditions. The temperature distributions and Nusselt numbers for models A and B are compared, and the limiting cases resulting in the convergence or divergence of the two models are also discussed. The effects of pertinent parameters such as fluid to solid effective thermal conductivity ratio, Biot number, Darcy number, velocity slip and temperature jump coefficients, and fluid and solid internal heat generations are also discussed. The results indicate that the Nusselt number decreases with the increase of thermal conductivity ratio for both models. This contrasts results from previous studies which for model A reported that the Nusselt number increases with the increase of thermal conductivity ratio. The Biot number and thermal conductivity ratio are found to have substantial effects on the role of temperature jump coefficient in controlling the Nusselt number for models A and B. The Nusselt numbers calculated using model A change drastically with the variation of solid internal heat generation. In contrast, the Nusselt numbers obtained for model B show a weak dependency on the variation of internal heat generation. The velocity slip coefficient has no noticeable effect on the Nusselt numbers for both models. The difference between the Nusselt numbers calculated using the two models decreases with an increase of the temperature jump coefficient.

Temperature fields in a channel partially filled with a porous material under local thermal non-equilibrium condition-an exact solution

This work examines analytically the forced convection in a channel partially filled with a porous material and subjected to constant wall heat flux. The Darcy–Brinkman–Forchheimer model is used to represent the fluid transport through the porous material. The local thermal non-equilibrium, two-equation model is further employed as the solid and fluid heat transport equations. Two fundamental models (models A and B) represent the thermal boundary conditions at the interface between the porous medium and the clear region. The governing equations of the problem are manipulated, and for each interface model, exact solutions, for the solid and fluid temperature fields, are developed. These solutions incorporate the porous material thickness, Biot number, fluid to solid thermal conductivity ratio and Darcy number as parameters. The results can be readily used to validate numerical simulations. They are, further, applicable to the analysis of enhanced heat transfer, using porous materials, in heat exchangers.

Contribution à l’étude des étalements dans les argiles sensibles de la mer de Champlain- Étude des étalements de Casselman (1971) et de Saint-Luc-de-Vincennes (1986)

Ce mémoire décrit, en premier lieu, l’analyse géotechnique et géomorphologique du glissement de 1971 à Casselman, Ontario. Les caractéristiques morphologiques identifiées à l’intérieur de la cicatrice confirment qu’il s’agit d’un étalement. Le sol impliqué est une argile sensible de la mer de Champlain, normalement à légèrement surconsolidée (OCR entre 1,0 et 1,2) dont les indices de liquidité varient entre 1,0 et 2,0. La résistance au cisaillement intacte mesurée au scissomètre de chantier varie entre 50 kPa et 87 kPa. L’argile adopte un comportement anti-écrouissage (perte de 40 % de la résistance en pic) lorsque soumise à des essais de cisaillement non-drainé. Une surface de rupture quasi-horizontale à deux niveaux principaux a été identifiée à partir des sondages au piézocône réalisés à l’intérieur de la cicatrice. Les coefficients de sécurité élevés obtenus à partir de méthodes à l’équilibre limite démontrent que la rétrogression ne peut être expliquée par des méthodes d’analyses conventionnelles. La deuxième partie du mémoire présente l’application numérique du principe de rupture progressive aux étalements de Casselman (1971) et de Saint-Luc-de-Vincennes (1986). Une étude paramétrique a été réalisée afin d’évaluer l’influence de la fragilité du comportement après la résistance en pic du sol, reliée dans l’étude à une épaisseur de bande de cisaillement, ainsi que de la résistance à grande déformation, sur l’initiation et la rétrogression résultant du processus de rupture progressive. Les résultats démontrent que la résistance à grande déformation a très peu d’influence sur l’initiation du processus de rupture progressive, qui est principalement influencé par la fragilité du comportement du sol. Il a aussi été observé que la rétrogression était majoritairement influencée par la résistance à grande déformation.