r-matrices for relativistic deformations of integrable systems

We include the relativistic lattice KP hierarchy, introduced by Gibbons and Kupershmidt, into the $r$-matrix framework. An $r$-matrix account of the nonrelativistic lattice KP hierarchy is also provided for the reader's convenience. All relativistic constructions are regular one-parameter perturbations of the nonrelativistic ones. We derive in a simple way the linear Hamiltonian structure of the relativistic lattice KP, and find for the first time its quadratic Hamiltonian structure. Amasingly, the latter turns out to coincide with its nonrelativistic counterpart (a phenomenon, known previously only for the simplest case of the relativistic Toda lattice)

Competitive localization of vortex lines and interacting bosons

We present a theory for the localization of three-dimensional vortex lines or two-dimensional bosons with short-ranged repulsive interaction which are competing for a single columnar defect or potential well. For two vortices we use a necklace model approach to find a new kind of delocalization transition between two different states with a single bound particle. This exchange-delocalization transition is characterized by the onset of vortex exchange on the defect for sufficiently weak vortex-vortex repulsion or sufficiently weak binding energy corresponding to high temperature. We calculate the transition point and order of the exchange-delocalization transition. A generalization of this transition to arbitrary vortex number is proposed.Comment: 5 pages, 2 figure

A note on the integrable discretization of the nonlinear Schr\"odinger equation

We revisit integrable discretizations for the nonlinear Schr\"odinger equation due to Ablowitz and Ladik. We demonstrate how their main drawback, the non-locality, can be overcome. Namely, we factorize the non-local difference scheme into the product of local ones. This must improve the performance of the scheme in the numerical computations dramatically. Using the equivalence of the Ablowitz--Ladik and the relativistic Toda hierarchies, we find the interpolating Hamiltonians for the local schemes and show how to solve them in terms of matrix factorizations.Comment: 24 pages, LaTeX, revised and extended versio

A discrete time relativistic Toda lattice

Four integrable symplectic maps approximating two Hamiltonian flows from the relativistic Toda hierarchy are introduced. They are demostrated to belong to the same hierarchy and to examplify the general scheme for symplectic maps on groups equiped with quadratic Poisson brackets. The initial value problem for the difference equations is solved in terms of a factorization problem in a group. Interpolating Hamiltonian flows are found for all the maps.Comment: 32 pages, LaTe

Symplectic algorithm for constant-pressure molecular dynamics using a Nose-Poincare thermostat

We present a new algorithm for isothermal-isobaric molecular-dynamics simulation. The method uses an extended Hamiltonian with an Andersen piston combined with the Nos'e-Poincar'e thermostat, recently developed by Bond, Leimkuhler and Laird [J. Comp. Phys., 151, (1999)]. This Nos'e-Poincar'e-Andersen (NPA) formulation has advantages over the Nos'e-Hoover-Andersen approach in that the NPA is Hamiltonian and can take advantage of symplectic integration schemes, which lead to enhanced stability for long-time simulations. The equations of motion are integrated using a Generalized Leapfrog Algorithm and the method is easy to implement, symplectic, explicit and time reversible. To demonstrate the stability of the method we show results for test simulations using a model for aluminum.Comment: 7 page

Correlates of extracurricular sport participation among Swiss adolescents

Background: Based on a large national survey on the health of adolescents, this paper focuses on the socio-demographic and lifestyle correlates of sport practice among Swiss adolescents. The SMASH2002 database includes 7428 vocational apprentices and high school students between the ages of 16 and 20 who answered a self-administered anonymous questionnaire containing 565 items targeting perceived health, health attitudes and behaviour. Weekly episodes of extracurricular sport activity were measured by a four-category scale, and the sample was dichotomised between active (≥two episodes of sport/week) and inactive (<two episodes of sport/week) respondents. Thirty percent of female respondents and 40.2% of male respondents reported engaging in sport activity at least two to three times a week; another 9.7% of the female and 19.4% of the male respondents reported participating in least one sport activity each day (p<0.01). The percentage of active respondents was higher among students than among vocational apprentices (p<.01), and the rates of sport activity decreased more sharply over time among the apprentices than among the students (p<0.01). Most active adolescents reported having a better feeling of well-being than their inactive peers [among male students: odds ratio (OR): 3.13; 95% confidence interval (95%CI): 1.28-7.70]. The percentage of active females who reported being on a diet was high, and female apprentices exhibited higher involvement in dieting than their inactive peers (OR: 1.68; 95%CI: 1.32-2.14). Relative to the inactive male respondents, the proportion of active male respondents smoking was lower; however, a lower proportion of the latter group did not report drunkenness, and the percentage of those who reported lifetime cannabis consumption was higher among active than inactive students (females, OR:1.57; 95%CI:1.09-2.25; males, OR:1.80; 95%CI: 20-2.69). Conclusion: Organised sport activities should be better tailored to the work schedules of apprentices. Practitioners should be aware of the potential for problematic behaviour in the area of dieting and substance use among a subset of sport-oriented adolescent

Room-temperature transverse-electric polarized intersubband electroluminescence from InAs/AlInAs quantum dashes

We report the observation of transverse electric polarized electroluminescence from InAs/AlInAs quantum dash quantum cascade structures up to room temperature. The emission is attributed to the electric field confined along the shortest lateral dimension of the dashes, as confirmed by its dependence on crystallographic orientation both in absorption measurements on a dedicated sample and from electroluminescence itself. From the absorption we estimate a dipole moment for the observed transition of =1.7 nm. The electroluminescence is peaked at around 110 meV and increases with applied bias. Its temperature dependence shows a decrease at higher temperatures limited by optical phonon emission.Comment: 15 pages, 4 figures, submitted to Applied Physics Letter

La sexualité à l’ère numérique : les adolescents et le sexting

Bien que la recherche commence à s’intéresser au sexting par rapport aux taux de prévalence et que des campagnes de prévention aient été créées pour cette problématique, des recherches plus approfondies sont nécessaires afin de comprendre tous les enjeux entourant la pratique chez les jeunes, particulièrement lorsqu’elle entraine des conséquences négatives. Nos questions de recherche sont les suivantes : Quelles sont les différents éléments qui définissent le sexting du point de vue des jeunes, des parents et des enseignants ? Quelle est la définition du sexting ? Quelles sont les raisons qui peuvent motiver une personne à pratiquer le sexting (en termes d’envoi et de réception) mais aussi à transférer le contenu à d’autres personnes ? Quels sont les risques, conséquences et réactions possibles, notamment en termes de jugement ? Est-ce que la prévention relative au sexting est utile ? Que pourrait-on faire pour prévenir

On the Lagrangian structure of 3D consistent systems of asymmetric quad-equations

Recently, the first-named author gave a classification of 3D consistent 6-tuples of quad-equations with the tetrahedron property; several novel asymmetric 6-tuples have been found. Due to 3D consistency, these 6-tuples can be extended to discrete integrable systems on Z^m. We establish Lagrangian structures and flip-invariance of the action functional for the class of discrete integrable systems involving equations for which some of the biquadratics are non-degenerate and some are degenerate. This class covers, among others, some of the above mentioned novel systems.Comment: 21 pp, pdfLaTe

Rapport final de l'étude longitudinale [email protected]

En Suisse, à l'instar de ce que l'on constate dans d'autres pays d'Europe, le pourcentage des 14 à 19 ans utilisant régulièrement Internet a augmenté de manière spectaculaire entre 1997 (4%) et 2013 (97%) selon les chiffres de l'Office fédéral de la statistique. De par sa commodité d'accès en tout lieu et en tout temps, les jeunes ont su s'approprier les usages et les activités variées d'Internet et ils y passent une partie importante de leur temps pour se divertir, s'informer ou étudier. A ce jour, rares sont encore les études longitudinales qui permettent d'examiner l'évolution de leurs usages d'internet ou les implications à moyen et long terme de ce média sur la santé des adolescents. Pratiques en constante mutation, il est impératif de suivre l'évolution d'Internet des adolescents, car ces derniers constituent un groupe particulièrement vulnérable aux multiples attractions du web. Objectifs : Les objectifs principaux de cette étude étaient de: 1. Quantifier l'évolution sur les deux ans de l'utilisation d'Internet chez les adolescents vaudois en faisant la distinction entre le temps dédié à l'école/au travail et le temps dédié aux loisirs ; 2. Décrire les activités en ligne qui occupent les adolescents et investiguer si ces activités changent au fil du temps