1,214 research outputs found

    Renormings of Lp(Lq)L^p(L^q)

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    We investigate the best order of smoothness of Lp(Lq)L^p(L^q). We prove in particular that there exists a C∞C^\infty-smooth bump function on Lp(Lq)L^p(L^q) if and only if pp and qq are both even integers and pp is a multiple of qq.Comment: 18 pages; AMS-Te

    Interaction of multiple particles with a solidification front : from compacted particle layer to particle trapping

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    The interaction of solidification fronts with objects such as particles, droplets, cells, or bubbles is a phenomenon with many natural and technological occurrences. For an object facing the front, it may yield various fates, from trapping to rejection, with large implications regarding the solidification pattern. However, whereas most situations involve multiple particles interacting with each other and the front, attention has focused almost exclusively on the interaction of a single, isolated object with the front. Here we address experimentally the interaction of multiple particles with a solidification front by performing solidification experiments of a monodisperse particle suspension in a Hele-Shaw cell, with precise control of growth conditions and real-time visualization. We evidence the growth of a particle layer ahead of the front at a close-packing volume fraction and we document its steady state value at various solidification velocities. We then extend single particle models to the situation of multiple particles by taking into account the additional force induced on an entering particle by viscous friction in the compacted particle layer. By a force balance model, this provides an indirect measure of the repelling mean thermomolecular pressure over a particle entering the front. The presence of multiple particles is found to increase it following a reduction of the thickness of the thin liquid film that separates particles and front. We anticipate the findings reported here to provide a relevant basis to understand many complex solidification situations in geophysics, engineering, biology, or food engineering, where multiple objects interact with the front and control the resulting solidification patterns.Comment: 13 pages, 10 figures, submitted to Langmui

    Non-meanfield deterministic limits in chemical reaction kinetics far from equilibrium

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    A general mechanism is proposed by which small intrinsic fluctuations in a system far from equilibrium can result in nearly deterministic dynamical behaviors which are markedly distinct from those realized in the meanfield limit. The mechanism is demonstrated for the kinetic Monte-Carlo version of the Schnakenberg reaction where we identified a scaling limit in which the global deterministic bifurcation picture is fundamentally altered by fluctuations. Numerical simulations of the model are found to be in quantitative agreement with theoretical predictions.Comment: 4 pages, 4 figures (submitted to Phys. Rev. Lett.

    New Jersey Radium Dial Workers and the Dynamics of Occupational Disease Litigation in the Early Twentieth Century, The

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    Between 1917 and 1923 over 800 women worked for the United States Radium Corporation ( USRC ) in Orange, New Jersey handpainting wrist-watch faces with a substance made luminescent by radioactive materials. While these workers were exposed to injurious, even mortal, levels of radiation, less than a dozen received any compensation for their injuries. These features compounded the workers\u27 legal problems once they entered the formal legal system by dramatically complicating attempts to prove causation, by raising the specter of the statute of limitations defense, and by playing a major role in the settlement negotiation process. As a consequence, even when some women did resort to the formal legal system for relief, they faced hurdles endemic to the legal process and a dynamic of litigation that favored and rewarded repeat-player defendants. This article examines the radium dial-painter episode in four main sections. The first section presents a basic, historical narrative of the dial-painter litigation. The second section identifies and explores the medical, legal, and sociological reasons why so few cases entered the legal system. In the third section, we will examine the legal doctrines that governed the workers\u27 claims against USRC. In the final section, we will examine how the basic architecture of the legal system presented conditions that dramatically affected the chances of success and recovery of the few claimants who entered the legal system and allowed powerful defendants to fashion to their benefit the overall course and outcome of the litigation

    Dynamics of the Freezing Front During the Solidification of a Colloidal Alumina Aqueous Suspension: In Situ X-Ray Radiography, Tomography, and Modeling

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    International audienceIce templating of colloidal suspension is gaining interest in material science because it offers the possibility to shape advanced materials, and in particular porous ceramics. Recent investigations on this peculiar process show that a correlation between the morphology of the frozen suspension and the velocity of the freezing front do exist. The dynamics of the freezing front of a colloidal suspension of alumina is investigated in the present study by experimental tests, finite element numerical analysis and theoretical analytical calculations. The experimental tests are carried out by in situ X-ray radiography (investigation of the dynamics of the freezing front) and tomography (investigation of the resulting morphology of the frozen suspension). The finite element model is a continuous properties model; it is used for investigating the dynamics and the shape of the freezing front. The analytical model is based on the two-phase Stefan problem. We propose a solution for the dynamics of the solidification front based on the calculation of the diffusivity as a function of the particle fraction and local temperature

    Improvements for imaging ceramics sintering in situ in ESEM

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    International audienceSintering of green samples of alumina produced by ice-templating was followed in situ in an environmental scanning electron microscope (ESEM) up to temperatures as high as 1375 degrees C. These alumina samples with well-defined architectures are of great interest in the field of materials science due to their high specific strength (especially in compression), low density and adaptable porosity. For the present study, they also have the advantage to exhibit an important topography, inducing interesting contrast when imaged in an ESEM. Improvements of the imaging conditions in the ESEM were essential to really follow the sintering process involving formation of necks between grains or shift of the centre of grains. This paper describes the improvements made and the results observed on the sintering process of alumina green samples processed by ice-templating

    The MB2 gene family of Plasmodium species has a unique combination of S1 and GTP-binding domains

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    BACKGROUND: Identification and characterization of novel Plasmodium gene families is necessary for developing new anti-malarial therapeutics. The products of the Plasmodium falciparum gene, MB2, were shown previously to have a stage-specific pattern of subcellular localization and proteolytic processing. RESULTS: Genes homologous to MB2 were identified in five additional parasite species, P. knowlesi, P. gallinaceum, P. berghei, P. yoelii, and P. chabaudi. Sequence comparisons among the MB2 gene products reveal amino acid conservation of structural features, including putative S1 and GTP-binding domains, and putative signal peptides and nuclear localization signals. CONCLUSIONS: The combination of domains is unique to this gene family and indicates that MB2 genes comprise a novel family and therefore may be a good target for drug development
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