Critical behavior of su(1|1) supersymmetric spin chains with long-range interactions

We introduce a general class of su(1|1) supersymmetric spin chains with long-range interactions which includes as particular cases the su(1|1) Inozemtsev (elliptic) and Haldane-Shastry chains, as well as the XX model. We show that this class of models can be fermionized with the help of the algebraic properties of the su(1|1) permutation operator and take advantage of this fact to analyze their quantum criticality when a chemical potential term is present in the Hamiltonian. We first study the low-energy excitations and the low-temperature behavior of the free energy, which coincides with that of a (1+1)-dimensional conformal field theory (CFT) with central charge c=1 when the chemical potential lies in the critical interval (0,E(π)), E(p) being the dispersion relation. We also analyze the von Neumann and Rényi ground state entanglement entropies, showing that they exhibit the logarithmic scaling with the size of the block of spins characteristic of a one-boson (1+1)-dimensional CFT. Our results thus show that the models under study are quantum critical when the chemical potential belongs to the critical interval, with central charge c=1. From the analysis of the fermion density at zero temperature, we also conclude that there is a quantum phase transition at both ends of the critical interval. This is further confirmed by the behavior of the fermion density at finite temperature, which is studied analytically (at low temperature), as well as numerically for the su(1|1) elliptic chain.

La interculturalidad en la educación. Situación y fundamentos de la educación intercultural basada en valores

La diversidad cultural se refleja en las aulas. Es una de las variables que tiene influencia crucial en el clima en el centro. Esta investigación tiene como objetivos analizar la complejidad de la Educación Intercultural, ofrecer fundamentos teóricos para abordar la problemática de la incorporación de alumnos extranjeros al sistema educativo, y plantear modelos alternativos de integración para optimizar la gestión de la interculturalidad. La metodología empleada se basa en el diseño descriptivo. Utilizamos técnicas cuantitativas y cualitativas. Empleamos, como instrumento de investigación, un cuestionario, elaborado por el Grupo Interdisciplinario de Teoría de la Educación, de la Universidad de Alicante. Los resultados de la aplicación del cuestionario, a 3.820 profesores, muestran la existencia de conductas, en el aula, vinculadas con el racismo y la xenofobia. En este trabajo, planteamos la defensa del modelo holístico de Educación Intercultural y observamos los principios y cuestiones clave que hay que considerar para una intervención eficaz.

Diversity for Texts Builds in Language L(MT): Indexes Based in Theory of Information

If one has a distribution of words (SLUNs or CLUNS) in a text written in language L(MT), and is adjusted one of the mathematical expressions of distribution that exists in the mathematical literature, some parameter of the elected expression it can be considered as a measure of the diversity. But because the adjustment is not always perfect as usual measure; it is preferable to select an index that doesn't postulate a regularity of distribution expressible for a simple formula. The problem can be approachable statistically, without having special interest for the organization of the text. It can serve as index any monotonous function that has a minimum value when all their elements belong to the same class, that is to say, all the individuals belong to oneself symbol, and a maximum value when each element belongs to a different class, that is to say, each individual is of a different symbol. It should also gather certain conditions like they are: to be not very sensitive to the extension of the text and being invariant to certain number of operations of selection in the text. These operations can be theoretically random. The expressions that offer more advantages are those coming from the theory of the information of Shannon-Weaver. Based on them, the authors develop a theoretical study for indexes of diversity to be applied in texts built in modeling language L(MT), although anything impedes that they can be applied to texts written in natural languages.

The use of disliked gifts from a consumer behavior perspective

To use or not to use a disliked gift is a dilemma for recipients. Their choice will affect their relationship with the giver as well as marketing and business. However, the study of this topic is scarce in the consumer behavior discipline. Through a survey on 1269 adults in Ecuador, a Latin American country, this study identifies variables from the recipient, the giver, their relationship, and the gift. These variables provide the solution to the dilemma and, according to these findings, present implications for theory and practice.

Algorithm for the detection of outliers based on the theory of rough sets

Outliers are objects that show abnormal behavior with respect to their context or that have unexpected values in some of their parameters. In decision-making processes, information quality is of the utmost importance. In specific applications, an outlying data element may represent an important deviation in a production process or a damaged sensor. Therefore, the ability to detect these elements could make the difference between making a correct and an incorrect decision. This task is complicated by the large sizes of typical databases. Due to their importance in search processes in large volumes of data, researchers pay special attention to the development of efficient outlier detection techniques. This article presents a computationally efficient algorithm for the detection of outliers in large volumes of information. This proposal is based on an extension of the mathematical framework upon which the basic theory of detection of outliers, founded on Rough Set Theory, has been constructed. From this starting point, current problems are analyzed; a detection method is proposed, along with a computational algorithm that allows the performance of outlier detection tasks with an almost-linear complexity. To illustrate its viability, the results of the application of the outlier-detection algorithm to the concrete example of a large database are presented.

Earth’s Rotation: A Challenging Problem in Mathematics and Physics

A suitable knowledge of the orientation and motion of the Earth in space is a common need in various fields. That knowledge has been ever necessary to carry out astronomical observations, but with the advent of the space age, it became essential for making observations of satellites and predicting and determining their orbits, and for observing the Earth from space as well. Given the relevant role it plays in Space Geodesy, Earth rotation is considered as one of the three pillars of Geodesy, the other two being geometry and gravity. Besides, research on Earth rotation has fostered advances in many fields, such as Mathematics, Astronomy and Geophysics, for centuries. One remarkable feature of the problem is in the extreme requirements of accuracy that must be fulfilled in the near future, about a millimetre on the tangent plane to the planet surface, roughly speaking. That challenges all of the theories that have been devised and used to-date; the paper makes a short review of some of the most relevant methods, which can be envisaged as milestones in Earth rotation research, emphasizing the Hamiltonian approach developed by the authors. Some contemporary problems are presented, as well as the main lines of future research prospected by the International Astronomical Union/International Association of Geodesy Joint Working Group on Theory of Earth Rotation, created in 2013.

Quantum theory of spin waves in finite chiral spin chains

We calculate the effect of spin waves on the properties of finite-size spin chains with a chiral spin ground state observed on biatomic Fe chains deposited on iridium(001). The system is described with a Heisenberg model supplemented with a Dzyaloshinskii-Moriya coupling and a uniaxial single ion anisotropy that presents a chiral spin ground state. Spin waves are studied using the Holstein-Primakoff boson representation of spin operators. Both the renormalized ground state and the elementary excitations are found by means of Bogoliubov transformation, as a function of the two variables that can be controlled experimentally, the applied magnetic field and the chain length. Three main results are found. First, because of the noncollinear nature of the classical ground state, there is a significant zero-point reduction of the ground-state magnetization of the spin spiral. Second, there is a critical external field from which the ground state changes from chiral spin ground state to collinear ferromagnetic order. The character of the two lowest-energy spin waves changes from edge modes to confined bulk modes over this critical field. Third, in the spin-spiral state, the spin-wave spectrum exhibits oscillatory behavior as function of the chain length with the same period of the spin helix.

Bubble Growth From First Principles

We consider the simplest relevant problem in the foaming of molten plastics, the growth of a single bubble in a sea of highly viscous Newtonian fluid, and without interference from other bubbles. This simplest problem has defied accurate solution from first principles. Despite plenty of research on foaming, classical approaches from first principles have neglected the temperature rise in the surrounding fluid, and we find that this oversimplification greatly accelerates bubble growth prediction. We use a transport phenomena approach to analyze the growth of a solitary bubble, expanding under its own pressure. We consider a bubble of ideal gas growing without the accelerating contribution from mass transfer into the bubble. We explore the roles of viscous forces, fluid inertia, and viscous dissipation. We find that bubble growth depends upon the nucleus radius and nucleus pressure. We begin with a detailed examination of the classical approaches (thermodynamics without viscous heating). Our failure to fit experimental data with these classical approaches, sets up the second part of our paper, a novel exploration of the essential decelerating role of viscous heating. We explore both isothermal and adiabatic bubble expansion, and also the decelerating role of surface tension. The adiabatic analysis accounts for the slight deceleration due to the cooling of the expanding gas, which depends on gas polyatomicity. We also explore the pressure profile, and the components of the extra stress tensor, in the fluid surrounding the growing bubble. These stresses can eventually be frozen into foamed plastics. We find that our new theory compares well with measured bubble behavior.

Procrastiner au péril de l'humanité : une perspective psychologique au problème du changement climatique

Dans ce mémoire, je cherche à rendre compte de l’inaction des individus à l’égard de la lutte contre les changements climatiques. Je soutiens que la procrastination permet d’expliquer l’inaction de certaines personnes à la fois informées et préoccupées par cet enjeu environnemental. Dans un premier temps, je présente différentes conceptions de la procrastination en philosophie. J’avance que la procrastination n’est pas nécessairement un comportement irrationnel et propose une définition descriptive de celle-ci. Dans un deuxième temps, je valide la légitimité du concept de la procrastination pour décrire l’attitude de certains individus face au changement climatique. Dans un troisième temps, je présente différents facteurs de la procrastination relative au changement climatique, à savoir les émotions négatives, la perspective temporelle, les préférences intransitives et la dissonance cognitive. Je conclus que la procrastination eu égard au changement climatique s’explique ultimement par une stratégie à court terme de régulation des émotions.

Demographics and Brexit: A deeper problem for the EU? CEPS Commentary, 8 July 2016

There has been much debate about the demographic factors that contributed to the outcome of the UK’s referendum on its membership of the EU. Two aspects command special attention. First, there are marked differences between young and old generations in the preferences shown for remaining in the EU. While the former predominantly voted to remain, a great majority of the latter voted to leave. On the other hand, voter turnout revealed the opposite trend: about 83% of UK citizens aged 65 and older voted, whereas only 36% of those aged 18-24 cast their vote (Figure 1).

Optimum Design of Electromagnets for Magnetic Levitation of Transport Systems based on the Inverse Problem Solutions

Article is devoted to design of optimum electromagnets for magnetic levitation of transport systems. The method of electromagnets design based on the inverse problem solution of electrical equipment is offered. The method differs from known by introducing a stage of minimization the target functions providing the stated levitation force and magnetic induction in a gap, and also the mass of an electromagnet. Initial values of parameters are received, using approximate formulas of the theory of electric devices and electrical equipment. The example of realization of a method is given. The received results show its high efficiency at design. It is practical to use the offered method and the computer program realizing it as a part of system of the automated design of electric equipment for transport with a magnetic levitation.

Procrastiner au péril de l'humanité : une perspective psychologique au problème du changement climatique.

Dans ce mémoire, je cherche à rendre compte de l’inaction des individus à l’égard de la lutte contre les changements climatiques. Je soutiens que la procrastination permet d’expliquer l’inaction de certaines personnes à la fois informées et préoccupées par cet enjeu environnemental. Dans un premier temps, je présente différentes conceptions de la procrastination en philosophie. J’avance que la procrastination n’est pas nécessairement un comportement irrationnel et propose une définition descriptive de celle-ci. Dans un deuxième temps, je valide la légitimité du concept de la procrastination pour décrire l’attitude de certains individus face au changement climatique. Dans un troisième temps, je présente différents facteurs de la procrastination relative au changement climatique, à savoir les émotions négatives, la perspective temporelle, les préférences intransitives et la dissonance cognitive. Je conclus que la procrastination eu égard au changement climatique s’explique ultimement par une stratégie à court terme de régulation des émotions.

A general survey of the present status of the atomic structure problem : report of the Committee on Atomic Structure of the National Research Council /

Cover-title.

An analysis of mopeds as a potential safety problem in the United States. Volume II: data analysis and usage and accident projections. Final report.

National Highway Traffic Safety Administration, Washington, D.C.

The behavior modification school follow-up study. Final report.

National Highway Traffic Safety Administration, Washington, D.C.