Large Deviations in the Superstable Weakly Imperfect Bose Gas

The superstable Weakly Imperfect Bose Gas {(WIBG)} was originally derived to solve the inconsistency of the Bogoliubov theory of superfluidity. Its grand-canonical thermodynamics was recently solved but not at {point of} the {(first order)} phase transition. This paper proposes to close this gap by using the large deviations formalism and in particular the analysis of the Kac distribution function. It turns out that, as a function of the chemical potential, the discontinuity of the Bose condensate density at the phase transition {point} disappears as a function of the particle density. Indeed, the Bose condensate continuously starts at the first critical particle density and progressively grows but the free-energy per particle stays constant until the second critical density is reached. At higher particle densities, the Bose condensate density as well as the free-energy per particle both increase {monotonously}

The difference of boundary effects between Bose and Fermi systems

In this paper, we show that there exists an essential difference of boundary effects between Bose and Fermi systems both for Dirichlet and Neumann boundary conditions: at low temperatures and high densities the influence of the boundary on the Bose system depends on the temperature but is independent of the density, but for the Fermi case the influence of the boundary is independent of the temperature but depends on the density, after omitting the negligible high-order corrections. We also show that at high temperatures and low densities the difference of the influence of the boundary between Bose and Fermi systems appears in the next-to-leading order boundary contribution, and the leading boundary contribution is independent of the density. Moreover, for calculating the boundary effects at high temperatures and low densities, since the existence of the boundary modification causes the standard virial expansion to be invalid, we introduce a modified virial expansion.Comment: 8 page

Parameters of the eigenellipsoid for separated sector cyclotron

http://accelconf.web.cern.ch/AccelConf/c89/papers/g1-09.pdfInternational audienc

Six-dimensional beam matching for axial injection into a cyclotron

http://accelconf.web.cern.ch/AccelConf/c89/papers/g1-01.pdfInternational audienc

Trajectory Tracking Control of a Timed Event Graph with Specifications Defined by a P-time Event Graph

The aim of this paper is a trajectory tracking control of Timed Event Graphs with specifications defined by a P-time Event Graph. Two problems are solved on a fixed horizon knowing the current state: The optimal control for favorable past evolution; The prediction of the earliest future evolution of the process. These two parts make up an on-line control which is used on a sliding horizon. Completely defined in (max, +) algebra, the proposed approach is a Model Predictive Control using the componentwise order relation

Growth and optical properties of GaN/AlN quantum wells

We demonstrate the growth of GaN/AlN quantum well structures by plasma-assisted molecular-beam epitaxy by taking advantage of the surfactant effect of Ga. The GaN/AlN quantum wells show photoluminescence emission with photon energies in the range between 4.2 and 2.3 eV for well widths between 0.7 and 2.6 nm, respectively. An internal electric field strength of $9.2\pm 1.0$ MV/cm is deduced from the dependence of the emission energy on the well width.Comment: Submitted to AP

Determinación paramétrica de los ejes de rotación de las articulaciones interfalángicas de los dedos

Comunicación presentada en el XXI Congreso Nacional de Ingeniería Mecánica, celebrado en Elche en Noviembre de 2016.Los ejes de rotación de las articulaciones interfalángicas de los dedos son aproximadamente paralelos a los pliegues de flexión. Sin embargo, los modelos biomecánicos y ergonómicos existentes suelen considerar ejes de rotación paralelos entre sí y perpendiculares a los ejes longitudinales de las falanges. Recientemente se han utilizado técnicas de resonancia magnética para determinar su ubicación, pero su uso de forma extensiva supone riesgos, y no está disponible en todos los laboratorios. En este trabajo se estudia el uso de marcadores reflectantes sobre la piel para localizar los ejes de rotación de las articulaciones interfalángicas de los dedos, y se estudia su posible presentación paramétrica. Para ello, se localizaron los ejes de rotación de 30 sujetos con tamaños de mano representativos de la población española, mediante el seguimiento de 12 marcadores (3 de referencia y 9 de seguimiento) sobre cada dedo. En cada articulación se definieron los sistemas de coordenadas en los segmentos proximal y distal a partir de los marcadores de referencia. La localización de los ejes de rotación se describió mediante las coordenadas de la intersección del eje con el plano sagital (Px y Py) y las inclinaciones con respecto de los planos frontal y transversal ( f y t) de cada dedo. Estos 4 parámetros se obtuvieron de comparar, mediante un método evolutivo de optimización, las matrices de transformación experimentales entre los segmentos proximal y distal, con las analíticas, en un registro dinámico de flexión/extensión. Los valores medios obtenidos para las inclinaciones con los planos frontal y transversal resultaron ser menores de 11 y 4 grados, respectivamente, con una dispersión (8 y 4 grados) que, aun siendo moderada, no permitió obtener datos con suficiente precisión para la mejora de los modelos biomecánicos existentes. Mediante análisis jerárquicos se comprobó que esta dispersión se debe en parte a la variabilidad anatómica entre sujetos. Los resultados en cuanto a localización fueron más fiables, habiendo identificado correlación de Pearson significativa de la profundidad a la que se encuentra el eje con el grosor de la articulación (43% a 52% del grosor), y correspondiendo el posicionamiento longitudinal con el de los marcadores utilizados

Preliminary design of a new high intensity injection system for GANIL.

http://accelconf.web.cern.ch/AccelConf/c89/papers/f6-12.pdfInternational audienc

Symmetry of matrix-valued stochastic processes and noncolliding diffusion particle systems

As an extension of the theory of Dyson's Brownian motion models for the standard Gaussian random-matrix ensembles, we report a systematic study of hermitian matrix-valued processes and their eigenvalue processes associated with the chiral and nonstandard random-matrix ensembles. In addition to the noncolliding Brownian motions, we introduce a one-parameter family of temporally homogeneous noncolliding systems of the Bessel processes and a two-parameter family of temporally inhomogeneous noncolliding systems of Yor's generalized meanders and show that all of the ten classes of eigenvalue statistics in the Altland-Zirnbauer classification are realized as particle distributions in the special cases of these diffusion particle systems. As a corollary of each equivalence in distribution of a temporally inhomogeneous eigenvalue process and a noncolliding diffusion process, a stochastic-calculus proof of a version of the Harish-Chandra (Itzykson-Zuber) formula of integral over unitary group is established.Comment: LaTeX, 27 pages, 4 figures, v3: Minor corrections made for publication in J. Math. Phy