Biot-Savart-like law in electrostatics

The Biot-Savart law is a well-known and powerful theoretical tool used to calculate magnetic fields due to currents in magnetostatics. We extend the range of applicability and the formal structure of the Biot-Savart law to electrostatics by deriving a Biot-Savart-like law suitable for calculating electric fields. We show that, under certain circumstances, the traditional Dirichlet problem can be mapped onto a much simpler Biot-Savart-like problem. We find an integral expression for the electric field due to an arbitrarily shaped, planar region kept at a fixed electric potential, in an otherwise grounded plane. As a by-product we present a very simple formula to compute the field produced in the plane defined by such a region. We illustrate the usefulness of our approach by calculating the electric field produced by planar regions of a few nontrivial shapes.Comment: 14 pages, 6 figures, RevTex, accepted for publication in the European Journal of Physic

Rotating Hele-Shaw cells with ferrofluids

We investigate the flow of two immiscible, viscous fluids in a rotating Hele-Shaw cell, when one of the fluids is a ferrofluid and an external magnetic field is applied. The interplay between centrifugal and magnetic forces in determining the instability of the fluid-fluid interface is analyzed. The linear stability analysis of the problem shows that a non-uniform, azimuthal magnetic field, applied tangential to the cell, tends to stabilize the interface. We verify that maximum growth rate selection of initial patterns is influenced by the applied field, which tends to decrease the number of interface ripples. We contrast these results with the situation in which a uniform magnetic field is applied normally to the plane defined by the rotating Hele-Shaw cell.Comment: 12 pages, 3 ps figures, RevTe

Parallel flow in Hele-Shaw cells with ferrofluids

Parallel flow in a Hele-Shaw cell occurs when two immiscible liquids flow with relative velocity parallel to the interface between them. The interface is unstable due to a Kelvin-Helmholtz type of instability in which fluid flow couples with inertial effects to cause an initial small perturbation to grow. Large amplitude disturbances form stable solitons. We consider the effects of applied magnetic fields when one of the two fluids is a ferrofluid. The dispersion relation governing mode growth is modified so that the magnetic field can destabilize the interface even in the absence of inertial effects. However, the magnetic field does not affect the speed of wave propagation for a given wavenumber. We note that the magnetic field creates an effective interaction between the solitons.Comment: 12 pages, Revtex, 2 figures, revised version (minor changes

Stability analysis of polarized domains

Polarized ferrofluids, lipid monolayers and magnetic bubbles form domains with deformable boundaries. Stability analysis of these domains depends on a family of nontrivial integrals. We present a closed form evaluation of these integrals as a combination of Legendre functions. This result allows exact and explicit formulae for stability thresholds and growth rates of individual modes. We also evaluate asymptotic behavior in several interesting limits.Comment: 12 pages, 3 figures, Late

A Policy Maker’s Guide to Designing Payments for Ecosystem Services

Over the past five years, there has been increasing interest around the globe in payment schemes for the provision of ecosystem services, such as water purification, carbon sequestration, flood control, etc. Written for an Asian Development Bank project in China, this report provides a user-friendly guide to designing payments for the provision of ecosystem services. Part I explains the different types of ecosystem services, different ways of assessing their value, and why they are traditionally under-protected by law and policy. This is followed by an analysis of when payments for services are a preferable approach to other policy instruments. Part II explains the design issues underlying payments for services. These include identification of the service as well as potential buyers and sellers, the level of service needed, payment timing, payment type, and risk allocation. Part II contains a detailed analysis of the different types of payment mechanisms, ranging from general subsidy and certification to mitigation and offset payments. Part III explores the challenges to designing a payment scheme. These include the ability to monitor service provision, secure property rights, perverse incentives, supporting institutions, and poverty alleviation

ESTUDOS SOBRE CAROTENÓIDES COM ATIVIDADE DE PROVITAMINA "A" EM CULTIVARES DE MANDIOCA (Manihot esculentaCRANTZ) EM ECOSSISTEMA DE TERRA FIRME DE MANAUS, AMAZONAS, BRASIL.

Competition experiments were carried out between different cultivars of manioc (Manihot esculentaCrantz) in the terra firme ecosystem (Manaus, Amazonas, Brazil), with the productivity and pro-vitamin A carotene content. Roots from sevem cultivars of yellow manioc were selected for the identification and quantification of carotenes with vitamin A activity, according to the method described by Rodriguez. Pro-vitamin A loss due to processing and storage of the flour was also determined. The presence of three b - carotene isomers was noted (13 - cis - β - carotene, all trans β - carotene and 9 - cis - β - carotene). The amount of vitamin A present in the roots varied from 4.4 to 18.8 retinol equivalents. The loss of vitamin A due to processing was high, ranging from 25.3 to 40.0 %. The storage of the roots for six months in transparent plastic bags at room temperature and exposure to the sun, resulted in a total degradation of the carotenoids. The results allow one to conclude that three cultivars (IM 232; IM 104 and BGM 021) containt the highest pro-vitamin A content.Foram conduzidos experimentos de competição entre cultivares de mandioca (Manihot esculentaCrantz) em ecossistema de terra firme (Manaus - Amazonas), com objetivo de obter melhores cultivares de mandioca com relação a produtividade e teor de caroteno pró-vitamínico A. Raízes de sete cultivares de mandioca amarela foram selecionadas para identificação e quantificação de carotenos com atividade de vitamina A, mediante o método descrito por Rodriguez. Observou-se, também, as perdas de pró-vitamina A pelo processamento e armazenamento de farinha. Constatou-se a presença de três isômeros do β - caroteno (o 13 - eis -β - caroteno, o β - caroteno todo trans e o 9 - eis -β - caroteno U). Quanto aos teores de vitamina A, expressos em equivalente de retinol, nas raízes variaram de 4,4 a 18,8. Com relação a perda de atividade da vitamina A pelo processamento variou de 25,0 a 40,0 %, enquanto que o armazenamento por 6 meses em sacos plásticos transparentes, à temperatura ambiente e à exposição de luz, resultou em degradação total de seus carotenóides. Os resultados permitem concluir que três cultivares (IM 232; IM 104 e BGM 021) apresentaram os maiores teores de pró-vitamina A

Serum Lipid Changes after Short Term SIPC Therapy for Lower Limb Lymphedema

Lymphedema is a ubiquitous chronic disease with various suggested treatment options, but no definite treatment. Using (Sequential) Intermittent Pneumatic Compression (SIPC) is one of the most appropriate non-surgical treatments without any noticeable complications. In this study, we evaluated the serum lipids changes following SIPC. Participants included 40 lower limb lymphedema patients who underwent High Pressure SIPC for a period of 48 hrs. Pre and Post SIPC serum lipids changes were evaluated. Though, there was some increase in the serum level of cholesterol and triglyceride, none of the patients had the values above the normal range. We concluded that, the fluid entering the serum during SIPC, contain large molecules such as lipids, which increases serum lipid levels. However this phenomenon does not have any significant complication for the patients

Economics methods in Cochrane systematic reviews of health promotion and public health related interventions.

Peer reviewedPublisher PD

The Bolocam Galactic Plane Survey: Survey Description and Data Reduction

We present the Bolocam Galactic Plane Survey (BGPS), a 1.1 mm continuum survey at 33" effective resolution of 170 square degrees of the Galactic Plane visible from the northern hemisphere. The survey is contiguous over the range -10.5 < l < 90.5, |b| < 0.5 and encompasses 133 square degrees, including some extended regions |b| < 1.5. In addition to the contiguous region, four targeted regions in the outer Galaxy were observed: IC1396, a region towards the Perseus Arm, W3/4/5, and Gem OB1. The BGPS has detected approximately 8400 clumps over the entire area to a limiting non-uniform 1-sigma noise level in the range 11 to 53 mJy/beam in the inner Galaxy. The BGPS source catalog is presented in a companion paper (Rosolowsky et al. 2010). This paper details the survey observations and data reduction methods for the images. We discuss in detail the determination of astrometric and flux density calibration uncertainties and compare our results to the literature. Data processing algorithms that separate astronomical signals from time-variable atmospheric fluctuations in the data time-stream are presented. These algorithms reproduce the structure of the astronomical sky over a limited range of angular scales and produce artifacts in the vicinity of bright sources. Based on simulations, we find that extended emission on scales larger than about 5.9' is nearly completely attenuated (> 90%) and the linear scale at which the attenuation reaches 50% is 3.8'. Comparison with other millimeter-wave data sets implies a possible systematic offset in flux calibration, for which no cause has been discovered. This presentation serves as a companion and guide to the public data release through NASA's Infrared Processing and Analysis Center (IPAC) Infrared Science Archive (IRSA). New data releases will be provided through IPAC IRSA with any future improvements in the reduction.Comment: Accepted for publication in Astrophysical Journal Supplemen

An instability criterion for nonlinear standing waves on nonzero backgrounds

A nonlinear Schr\"odinger equation with repulsive (defocusing) nonlinearity is considered. As an example, a system with a spatially varying coefficient of the nonlinear term is studied. The nonlinearity is chosen to be repelling except on a finite interval. Localized standing wave solutions on a non-zero background, e.g., dark solitons trapped by the inhomogeneity, are identified and studied. A novel instability criterion for such states is established through a topological argument. This allows instability to be determined quickly in many cases by considering simple geometric properties of the standing waves as viewed in the composite phase plane. Numerical calculations accompany the analytical results.Comment: 20 pages, 11 figure