1,594 research outputs found

    Breakdown of smoothness for the Muskat problem

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    In this paper we show that there exist analytic initial data in the stable regime for the Muskat problem such that the solution turns to the unstable regime and later breaks down i.e. no longer belongs to C4C^4.Comment: 93 pages, 10 figures (6 added

    Ultrastructural observations on foliar glandular trichomes of Stevia rebaudiana

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    Foliar glandular trichomes of Stevia rebaudiana (Bert.) Bert. were examined by transmission electron microscopy in order to detect changes occurring in their cells in association with the secretory process. In the foliar, 10-celled lipophilic glandular trichome of Stevia rebaudiana (Bert.) Bert., the six secretory cells forming three pairs of head cells are vacuolated, possess large nuclei and are rich in ribosomes, mitochondria, plastids and ER elements. Dictyosomes are relatively frequent in these cells. The plastids, which form starch grains, are leucoplasts in cells of the apical pair and chloroplasts in cells of the two subapical pairs. The basal cells and stalk cells possess some degree of vacuolation and are rich in ribosomes. Also in these cells, the nuclei are relatively large; ER elements, chloroplasts and dictyosomes are present in moderate number, and mitochondria are frequent. Wall ingrowths are found in head cells as well as in the stalk and basal cells. Plasmodesmata, in moderate number, occur more frequently in transverse walls of head cells, as well as in those between cells of the second subapical pair and stalk cells and between the latter and basal cells. Plasmodesmata connect mesophyll cells and basal cells. To form the secretory sheath, the cuticular membrane detaches from the outer walls of the apical secretory cells, along a line that appears to be the pectin layer

    Assessing the Health Risk and Trophic Transfer of Lead and Cadmium in Dairy Farming Systems in the Mantaro Catchment, Central Andes of Peru

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    This study investigated lead (Pb) and cadmium (Cd) transfer in three dairy farming areas in the Mantaro river headwaters in the central Peruvian Andes and at varying distances from the mining complex at La Oroya. At each of these sites, the transfer of trace metals from the soil to raw milk was estimated, and a hazard assessment for lead and cadmium was carried out in scenarios of minimum, average, and maximum milk consumption in a Peruvian population aged 2–85. Pb and Cd were quantified by flame atomic absorption spectrometry. Significantly, the concentrations of lead and cadmium were found to exceed the maximum limits recommended by the World Health Organization, with a positive geospatial trend correlated with the distance from mining activity. Both Pb and Cd were found to be transferred through the soil–pasture–milk pathway, with the primary source of Cd being phosphate-based fertilizers used in pasture improvement. Pb was found to be the most significant contributor to the Hazard Index (HI) with those under 19 years of age and over 60 recording an HI of >1, with infants being the most vulnerable group due to their greater milk consumption in relation to their body weight. A marginal increase in contamination was observed in the dry season, indicating the need for studies to be expanded over several annual cycles

    Pseudogap Formation in the Symmetric Anderson Lattice Model

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    We present self-consistent calculations for the self-energy and magnetic susceptibility of the 2D and 3D symmetric Anderson lattice Hamiltonian, in the fluctuation exchange approximation. At high temperatures, strong f-electron scattering leads to broad quasiparticle spectral functions, a reduced quasiparticle band gap, and a metallic density of states. As the temperature is lowered, the spectral functions narrow and a pseudogap forms at the characteristic temperature TxT_x at which the width of the quasiparticle spectral function at the gap edge is comparable to the renormalized activation energy. For T<<TxT << T_x , the pseudogap is approximately equal to the hybridization gap in the bare band structure. The opening of the pseudogap is clearly apparent in both the spin susceptibility and the compressibility.Comment: RevTeX - 14 pages and 7 figures (available on request), NRL-JA-6690-94-002

    Ultra-compact (X-ray) binaries

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    A short review of ultra-compact binaries, focused on ultra-compact X-ray binaries, is followed by a discussion of recent results of our VLT campaign to obtain optical spectra of (candidate) ultra-compact X-ray binaries. We find evidence for carbon/oxygen as well as helium/nitrogen discs and no evidence for (traces) of hydrogen. This suggests that the donors in the observed systems are white dwarfs. However, we also find large differences between the two C/O discs of which we have good spectra, which highlights the need for a better understanding of the optical spectra.Comment: To appear in proceedings of "A life with stars" a conference in honour of Ed van den Heuvel's 60th birthday, New Ast. Re

    Quaternion-Octonion SU(3) Flavor Symmetry

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    Starting with the quaternionic formulation of isospin SU(2) group, we have derived the relations for different components of isospin with quark states. Extending this formalism to the case of SU(3) group we have considered the theory of octonion variables. Accordingly, the octonion splitting of SU(3) group have been reconsidered and various commutation relations for SU(3) group and its shift operators are also derived and verified for different iso-spin multiplets i.e. I, U and V- spins. Keywords: SU(3), Quaternions, Octonions and Gell Mann matrices PACS NO: 11.30.Hv: Flavor symmetries; 12.10-Dm: Unified field theories and models of strong and electroweak interaction

    Optimal limits on f_{NL}^{local} from WMAP 5-year data

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    We have applied the optimal estimator for f_{NL}^{local} to the 5 year WMAP data. Marginalizing over the amplitude of foreground templates we get -4 < f_{NL}^{local} < 80 at 95% CL. Error bars of previous (sub-optimal) analyses are roughly 40% larger than these. The probability that a Gaussian simulation, analyzed using our estimator, gives a result larger in magnitude than the one we find is 7%. Our pipeline gives consistent results when applied to the three and five year WMAP data releases and agrees well with the results from our own sub-optimal pipeline. We find no evidence of any residual foreground contamination.Comment: [v1] 21 pages, 7 figures. [v2] minor changes matching published versio
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