391 research outputs found

    Kowalevski's analysis of the swinging Atwood's machine

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    We study the Kowalevski expansions near singularities of the swinging Atwood's machine. We show that there is a infinite number of mass ratios M/mM/m where such expansions exist with the maximal number of arbitrary constants. These expansions are of the so--called weak Painlev\'e type. However, in view of these expansions, it is not possible to distinguish between integrable and non integrable cases.Comment: 30 page

    Estimation de la qualité des données d'expertise des barrages

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    National audienceLa maîtrise des risques de rupture des barrages est d'une importance majeure dans notre société de par les enjeux associés. De plus, la pertinence des actions de maintenance ou de réparation d'un barrage dépend de la connaissance de sa performance vis-à-vis de ses principaux modes de rupture et de la fiabilité de cette connaissance. Nous nous intéressons ici à l'estimation de la fiabilité du résultat du modèle d'évaluation possibiliste de la performance des barrages, développé par le Cemagref, à partir de l'estimation de la qualité de ses données d'entrée. Ce modèle est en effet basé sur l'utilisation de données multisources hétérogènes et imparfaites (imprécises, incertaines et incomplètes). Cette communication détaille plus particulièrement les phases d'analyse et de validation des grilles d'analyse de la qualité des données et d'agrégation des critères de ces grilles de qualité. / The control of failure risks of dams is of major importance in our society as regards the associated consequences. Moreover, the relevance of maintenance or repair actions depends on the dam performance knowledge as regards their main failure modes and the reliability of this knowledge. Here, the estimation of the result reliability of the dam performance assessment model, based on evidence theory and developed by the Cemagref, will be considered. The result reliability estimation is done by the quality estimation of the input data. This performance assessment model is based on the use of multisource, heterogeneous and imperfect data (imprecise, uncertain and incomplete data). This communication is more detailing the analysis validation phases of the grids of data quality analysis and the aggregation phase of the criteria of these quality grids

    Relation Between First Arrival Time and Permeability in Self-Affine Fractures with Areas in Contact

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    We demonstrate that the first arrival time in dispersive processes in self-affine fractures are governed by the same length scale characterizing the fractures as that which controls their permeability. In one-dimensional channel flow this length scale is the aperture of the bottle neck, i.e., the region having the smallest aperture. In two dimensions, the concept of a bottle neck is generalized to that of a minimal path normal to the flow. The length scale is then the average aperture along this path. There is a linear relationship between the first arrival time and this length scale, even when there is strong overlap between the fracture surfaces creating areas with zero permeability. We express the first arrival time directly in terms of the permeability.Comment: EPL (2012)

    Permeability Estimates of Self-Affine Fracture Faults Based on Generalization of the Bottle Neck Concept

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    We propose a method for calculating the effective permeability of two-dimensional self-affine permeability fields based on generalizing the one-dimensional concept of a bottleneck. We test the method on fracture faults where the local permeability field is given by the cube of the aperture field. The method remains accurate even when there is substantial mechanical overlap between the two fracture surfaces. The computational efficiency of the method is comparable to calculating a simple average and is more than two orders of magnitude faster than solving the Reynolds equations using a finite-difference scheme

    A Renaissance study of Am stars. I. The mass ratio distribution

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    Triggered by the study of Carquillat & Prieur (2007, MNRAS, 380, 1064) of Am binaries, I reanalyse their sample of 60 orbits to derive the mass ratio distribution (MRD), assuming as they did a priori functional forms, i.e. a power law or a Gaussian. The sample is then extended using orbits published by several groups and a full analysis of the MRD is made, without any assumption on the functional form. I derive the MRD using a Richardson-Lucy inversion method, assuming a fixed mass of the Am primary and randomly distributed orbital inclinations. Using the large sub-sample of double-lined spectroscopic binaries, I show that this methodology is indeed perfectly adequate. Using the inversion method, applied to my extended sample of 162 systems, I find that the final MRD can be approximated by a uniform distribution.Comment: 7 pages, 9 figures; Accepted by A&

    Use of data loggers to investigate temperature trends above and below cover objects used by plethodontid salamanders

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    Amphibians utilize microhabitats to find refugia that will keep them functioning properly by regulating thermoregulatory behavior and for respiration. Microclimates of cover objects and the influence they may have in the selection of refugia by plethodontid salamanders are inherently difficult to study over long periods of time. Herein we provide a case study in which we used U23-003 HOBO Pro v2 2X Temperature Data Loggers to investigate temperature trends under and above cover objects selected by plethodontid salamanders in the field. Overall, data loggers were user-friendly for setup, deploymentt, and data offload and provided abundant data

    Main-Sequence and sub-giant stars in the Globular Cluster NGC6397: The complex evolution of the lithium abundance

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    Thanks to the high multiplex and efficiency of Giraffe at the VLT we have been able for the first time to observe the Li I doublet in the Main Sequence (MS) stars of a Globular Cluster. At the same time we observed Li in a sample of Sub-Giant (SG) stars of the same B-V colour. Our final sample is composed of 84 SG stars and 79 MS stars. In spite of the fact that SG and MS span the same temperature range we find that the equivalent widths of the Li I doublet in SG stars are systematically larger than those in MS stars, suggesting a higher Li content among SG stars. This is confirmed by our quantitative analysis. We derived the effective temperatures, from Hα\alpha fitting, and NLTE Li abundances of the stars in our the sample, using 3D and 1D models. We find that SG stars have a mean Li abundance higher by 0.1dex than MS stars, using both 1D and 3D models. We also detect a positive slope of Li abundance with effective temperature. These results provide an unambiguous evidence that the Li abundance changes with evolutionary status. The physical mechanisms responsible for this behaviour are not yet clear, and none of the existing models seems to describe accurately these observations. Based on these conclusions, we believe that the cosmological lithium problem still remains an open question.Comment: Proceedings of the contributed talk presented at the IAU Symposium 26

    Spindown of massive rotating stars

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    Models of rapidly rotating massive stars at low metallicities show significantly different evolution and higher metal yields compared to non-rotating stars. We estimate the spin-down time-scale of rapid rotating non-convective stars supporting an alpha-Omega dynamo. The magnetic dynamo gives rise to mass loss in a magnetically controlled stellar wind and hence stellar spin down owing to loss of angular momentum. The dynamo is maintained by strong horizontal rotation-driven turbulence which dominates over the Parker instability. We calculate the spin-down time-scale and find that it could be relatively short, a small fraction of the main-sequence lifetime. The spin-down time-scale decreases dramatically for higher surface rotations suggesting that rapid rotators may only exhibit such high surface velocities for a short time, only a small fraction of their main-sequence lifetime.Comment: Accepted by MNRA

    The Angular Momentum Evolution of Very Low Mass Stars

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    We present theoretical models of the angular momentum evolution of very low mass stars (0.1 - 0.5 M_sun) and solar analogues (0.6 - 1.1 M_sun). We investigate the effect of rotation on the effective temperature and luminosity of these stars. We find that the decrease in T_eff and L can be significant at the higher end of our mass range, but becomes negligible below 0.4 M_sun. Formulae for relating T_eff to mass and v_rot are presented. We compare our models to rotational data from young open clusters of different ages to infer the rotational history of low mass stars, and the dependence of initial conditions and rotational evolution on mass. We find that the qualitative conclusions for stars below 0.6 M_sun do not depend on the assumptions about internal angular momentum transport, which makes these low mass stars ideal candidates for the study of the angular momentum loss law and distribution of initial conditions. We find that neither models with solid body nor differential rotation can simultaneously reproduce the observed stellar spin down in the 0.6 to 1.1 M_sun mass range and for stars between 0.1 and 0.6 M_sun. The most likely explanation is that the saturation threshold drops more steeply at low masses than would be predicted with a simple Rossby scaling. In young clusters there is a systematic increase in the mean rotation rate with decreased temperature below 3500 K (0.4 M_sun). This suggests either inefficient angular momentum loss or mass-dependent initial conditions for stars near the fully convective boundary. (abridged)Comment: To appear in the May 10, 2000 Ap

    The role of water fittings in intensive care rooms as reservoirs for the colonization of patients with Pseudomonas aeruginosa

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    International audienceOBJECTIVE: To assess the role of the water environment in the Pseudomonas aeruginosa colonization of patients in intensive care units in the absence of a recognized outbreak. DESIGN AND SETTING: Prospective, single-centre study over an 8-week period in two adult ICUs at a university hospital. Environmental samples were taken from the water fittings of rooms once per week, during a 8-week period. Patients were screened weekly for P. aeruginosa carriage. Environmental and humans isolates were genotyped by using pulsed-field gel electrophoresis. RESULTS: P. aeruginosa was detected in 193 (86.2%) of the 224 U-bend samples and 10 of the 224 samples taken from the tap (4.5%). Seventeen of the 123 patients admitted were colonized with P. aeruginosa. Only one of the 14 patients we were able to evaluate was colonized by a clone present in the water environment of his room before the patient's first positive sample was obtained. CONCLUSION: The role of the water environment in the acquisition of P. aeruginosa by intensive care patients remains unclear, but water fittings seem to play a smaller role in non-epidemic situations than expected by many operational hospital hygiene teams
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