104 research outputs found
Waves attractors in rotating fluids: a paradigm for ill-posed Cauchy problems
In the limit of low viscosity, we show that the amplitude of the modes of
oscillation of a rotating fluid, namely inertial modes, concentrate along an
attractor formed by a periodic orbit of characteristics of the underlying
hyperbolic Poincar\'e equation. The dynamics of characteristics is used to
elaborate a scenario for the asymptotic behaviour of the eigenmodes and
eigenspectrum in the physically relevant r\'egime of very low viscosities which
are out of reach numerically. This problem offers a canonical ill-posed Cauchy
problem which has applications in other fields.Comment: 4 pages, 5 fi
Percolation properties of 3-D multiscale pore networks: how connectivity controls soil filtration processes
Quantifying the connectivity of pore networks is a key issue not only for modelling fluid flow and solute transport in porous media but also for assessing the ability of soil ecosystems to filter bacteria, viruses and any type of living microorganisms as well inert particles which pose a contamination risk. Straining is the main mechanical component of filtration processes: it is due to size effects, when a given soil retains a conveyed entity larger than the pores through which it is attempting to pass. We postulate that the range of sizes of entities which can be trapped inside soils has to be associated with the large range of scales involved in natural soil structures and that information on the pore size distribution has to be complemented by information on a critical filtration size (CFS) delimiting the transition between percolating and non percolating regimes in multiscale pore networks. We show that the mass fractal dimensions which are classically used in soil science to quantify scaling laws in observed pore size distributions can also be used to build 3-D multiscale models of pore networks exhibiting such a critical transition. We extend to the 3-D case a new theoretical approach recently developed to address the connectivity of 2-D fractal networks (Bird and Perrier, 2009). Theoretical arguments based on renormalisation functions provide insight into multi-scale connectivity and a first estimation of CFS. Numerical experiments on 3-D prefractal media confirm the qualitative theory. These results open the way towards a new methodology to estimate soil filtration efficiency from the construction of soil structural models to be calibrated on available multiscale data
Medication use in pregnancy: a cross-sectional, multinational web-based study
Objectives: Intercountry comparability between studies on medication use in pregnancy is difficult due to dissimilarities in study design and methodology. his study aimed to examine patterns and factors associated with medications use in pregnancy from a multinational perspective, with emphasis on type of medication utilised and indication for use. Design: Cross-sectional, web-based study performed within the period from 1 October 2011 to 29 February 2012. Uniform collection of drug utilisation data was performed via an anonymous online questionnaire. Setting: Multinational study in Europe (Western, Northern and Eastern), North and South America and Australia. Participants: Pregnant women and new mothers with children less than 1 year of age. Primary and secondary outcome measures: Prevalence of and factors associated with medication use for acute/short-term illnesses, chronic/long-term disorders and over-the-counter (OTC) medication use. Results: The study population included 9459 women, of which 81.2% reported use of at least one medication (prescribed or OTC) during pregnancy. Overall, OTC medication use occurred in 66.9% of the pregnancies, whereas 68.4% and 17% of women reported use of at least one medication for treatment of ute/short-term illnesses and chronic/long-term disorders, respectively. The extent of self-reported medicated illnesses and types of medication used by indication varied across regions, especially in relation to urinary tract infections, depression or OTC nasal sprays. Women with higher age or lower educational level, housewives or women with an unplanned pregnancy were those most often reporting use of medication for chronic/long-term disorders. Immigrant women in Western (adjusted OR (aOR): 0.55, 95% CI 0.34 to 0.87) and Northern Europe (aOR: 0.50, 95% CI 0.31 to 0.83) were less likely to report use of medication for chronic/long-term disorders during pregnancy than nonimmigrants. Conclusions: In this study, the majority of women in Europe, North America, South America and Australia used at least one medication during pregnancy. There was a substantial inter-region variability in the types of medication used
Adsorption Isotherms of Hydrogen: The Role of Thermal Fluctuations
It is shown that experimentally obtained isotherms of adsorption on solid
substrates may be completely reconciled with Lifshitz theory when thermal
fluctuations are taken into account. This is achieved within the framework of a
solid-on-solid model which is solved numerically. Analysis of the fluctuation
contributions observed for hydrogen adsorption onto gold substrates allows to
determine the surface tension of the free hydrogen film as a function of film
thickness. It is found to decrease sharply for film thicknesses below seven
atomic layers.Comment: RevTeX manuscript (3 pages output), 3 figure
Comparisons of Supergranule Characteristics During the Solar Minima of Cycles 22/23 and 23/24
Supergranulation is a component of solar convection that manifests itself on
the photosphere as a cellular network of around 35 Mm across, with a turnover
lifetime of 1-2 days. It is strongly linked to the structure of the magnetic
field. The horizontal, divergent flows within supergranule cells carry local
field lines to the cell boundaries, while the rotational properties of
supergranule upflows may contribute to the restoration of the poloidal field as
part of the dynamo mechanism that controls the solar cycle. The solar minimum
at the transition from cycle 23 to 24 was notable for its low level of activity
and its extended length. It is of interest to study whether the convective
phenomena that influences the solar magnetic field during this time differed in
character to periods of previous minima. This study investigates three
characteristics (velocity components, sizes and lifetimes) of solar
supergranulation. Comparisons of these characteristics are made between the
minima of cycles 22/23 and 23/24 using MDI Doppler data from 1996 and 2008,
respectively. It is found that whereas the lifetimes are equal during both
epochs (around 18 h), the sizes are larger in 1996 (35.9 +/- 0.3 Mm) than in
2008 (35.0 +/- 0.3 Mm), while the dominant horizontal velocity flows are weaker
(139 +/- 1 m/s in 1996; 141 +/- 1 m/s in 2008). Although numerical differences
are seen, they are not conclusive proof of the most recent minimum being
inherently unusual.Comment: 22 pages, 5 figures. Solar Physics, in pres
Dynamical Tide in Solar-Type Binaries
Circularization of late-type main-sequence binaries is usually attributed to
turbulent convection, while that of early-type binaries is explained by
resonant excitation of g modes. We show that the latter mechanism operates in
solar-type stars also and is at least as effective as convection, despite
inefficient damping of g modes in the radiative core. The maximum period at
which this mechanism can circularize a binary composed of solar-type stars in
10 Gyr is as low as 3 days, if the modes are damped by radiative diffusion only
and g-mode resonances are fixed; or as high as 6 days, if one allows for
evolution of the resonances and for nonlinear damping near inner turning
points. Even the larger theoretical period falls short of the observed
transition period by a factor two.Comment: 17 pages, 2 postscript figures, uses aaspp4.sty. Submitted to Ap
Numerical Simulations of Penetration and Overshoot in the Sun
We present numerical simulations of convective overshoot in a two-dimensional
model of the solar equatorial plane. The simulated domain extends from 0.001
R_sun to 0.93 R_sun, spanning both convective and radiative regions. We show
that convective penetration leads to a slightly extended, mildly subadiabatic
temperature gradient beneath the convection zone below which there is a rapid
transition to a strongly subadiabatic region. A slightly higher temperature is
maintained in the overshoot region by adiabatic heating from overshooting
plumes. This enhanced temperature may partially account for the sound speed
discrepancy between the standard solar model and helioseismology. Simulations
conducted with tracer particles suggest that a fully mixed region exists down
to at least 0.687 R_sun.Comment: 24 pages, 8 figures, submitted to Ap
Turbulent Convection Under the Influence of Rotation: Sustaining a Strong Differential Rotation
The intense turbulence present in the solar convection zone is a major
challenge to both theory and simulation as one tries to understand the origins
of the striking differential rotation profile with radius and latitude that has
been revealed by helioseismology. The differential rotation must be an
essential element in the operation of the solar magnetic dynamo and its cycles
of activity, yet there are many aspects of the interplay between convection,
rotation and magnetic fields that are still unclear. We have here carried out a
series of 3--D numerical simulations of turbulent convection within deep
spherical shells using our anelastic spherical harmonic (ASH) code on massively
parallel supercomputers. These studies of the global dynamics of the solar
convection zone concentrate on how the differential rotation and meridional
circulation are established. We have analyzed the transport of angular momentum
in establishing such differential rotation, and clarified the roles played by
Reynolds stresses and the meridional circulation in this process. We have found
that the Reynolds stresses are crucial in transporting angular momentum toward
the equator. The effects of baroclinicity (thermal wind) have been found to
have a modest role in the resulting mean zonal flows. The simulations have
produced differential rotation profiles within the bulk of the convection zone
that make reasonable contact with ones inferred from helioseismic inversions,
namely possessing a fast equator, an angular velocity difference of about 30%
from equator to pole, and some constancy along radial lines at mid-latitudes.Comment: 25 pages, 14 very low resolution figures, shortened abstract,
published by ApJ. High resolution/complete version can be found at
http://lcd-www.colorado.edu/sabrun/index_cv.html then Scientific Publication
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