17,312 research outputs found

    The complex Sine-Gordon equation as a symmetry flow of the AKNS Hierarchy

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    It is shown how the complex sine-Gordon equation arises as a symmetry flow of the AKNS hierarchy. The AKNS hierarchy is extended by the ``negative'' symmetry flows forming the Borel loop algebra. The complex sine-Gordon and the vector Nonlinear Schrodinger equations appear as lowest negative and second positive flows within the extended hierarchy. This is fully analogous to the well-known connection between the sine-Gordon and mKdV equations within the extended mKdV hierarchy. A general formalism for a Toda-like symmetry occupying the ``negative'' sector of sl(N) constrained KP hierarchy and giving rise to the negative Borel sl(N) loop algebra is indicated.Comment: 8 pages, LaTeX, typos corrected, references update

    Supersymmetry for integrable hierarchies on loop superalgebras

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    The algebraic approach is employed to formulate N=2 supersymmetry transformations in the context of integrable systems based on loop superalgebras sl^(p+1,p),p1\hat{\rm sl}(p+1,p), p \ge 1 with homogeneous gradation. We work with extended integrable hierarchies, which contain supersymmetric AKNS and Lund-Regge sectors. We derive the one-soliton solution for p=1p=1 which solves positive and negative evolution equations of the N=2 supersymmetric model.Comment: Latex, 21 page

    Nontrivial temporal scaling in a Galilean stick-slip dynamics

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    We examine the stick-slip fluctuating response of a rough massive non-rotating cylinder moving on a rough inclined groove which is submitted to weak external perturbations and which is maintained well below the angle of repose. The experiments presented here, which are reminiscent of the Galileo's works with rolling objects on inclines, have brought in the last years important new insights into the friction between surfaces in relative motion and are of relevance for earthquakes, differing from classical block-spring models by the mechanism of energy input in the system. Robust nontrivial temporal scaling laws appearing in the dynamics of this system are reported, and it is shown that the time-support where dissipation occurs approaches a statistical fractal set with a fixed value of dimension. The distribution of periods of inactivity in the intermittent motion of the cylinder is also studied and found to be closely related to the lacunarity of a random version of the classic triadic Cantor set on the line.Comment: 7 pages including 6 figure

    Orbit determination of Transneptunian objects and Centaurs for the prediction of stellar occultations

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    The prediction of stellar occultations by Transneptunian objects and Centaurs is a difficult challenge that requires accuracy both in the occulted star position as for the object ephemeris. Until now, the most used method of prediction involving tens of TNOs/Centaurs was to consider a constant offset for the right ascension and for the declination with respect to a reference ephemeris. This offset is determined as the difference between the most recent observations of the TNO and the reference ephemeris. This method can be successfully applied when the offset remains constant with time. This paper presents an alternative method of prediction based on a new accurate orbit determination procedure, which uses all the available positions of the TNO from the Minor Planet Center database plus sets of new astrometric positions from unpublished observations. The orbit determination is performed through a numerical integration procedure (NIMA), in which we develop a specific weighting scheme. The NIMA method was applied for 51 selected TNOs/Centaurs. For this purpose, we have performed about 2900 new observations during 2007-2014. Using NIMA, we succeed in predicting the stellar occultations of 10 TNOs and 3 Centaurs between 2013 and 2015. By comparing the NIMA and JPL ephemerides, we highlighted the variation of the offset between them with time. Giving examples, we show that the constant offset method could not accurately predict 6 out of the 13 observed positive occultations successfully predicted by NIMA. The results indicate that NIMA is capable of efficiently refine the orbits of these bodies. Finally, we show that the astrometric positions given by positive occultations can help to further refine the orbit of the TNO and consequently the future predictions. We also provide the unpublished observations of the 51 selected TNOs and their ephemeris in a usable format by the SPICE library.Comment: 12 pages, 9 figures, accepted in A&

    Cooperative localization-delocalization in the high Tc cuprates

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    The intrinsic metastable crystal structure of the cuprates results in local dynamical lattice instabilities, strongly coupled to the density fluctuations of the charge carriers. They acquire in this way simultaneously both, delocalized and localized features. It is responsible for a partial fractioning of the Fermi surface, i.e., the Fermi surface gets hidden in a region around the anti-nodal points, because of the opening of a pseudogap in the normal state, arising from a partial charge localization. The high energy localized single-particle features are a result of a segregation of the homogeneous crystal structure into checker-board local nano-size structures, which breaks the local translational and rotational symmetry. The pairing in such a system is dynamical rather than static, whereby charge carriers get momentarily trapped into pairs in a deformable dynamically fluctuating ligand environment. We conclude that the intrinsically heterogeneous structure of the cuprates must play an important role in this type of superconductivity.Comment: 14 pages, 8 figures, Proceedings of the "International Conference on Condensed Matter Theories", Quito, 2009 Int. J. Mod. Phys. B 2010 (Accepted

    Exigência de fósforo disponível para frangos de corte nas fases de crescimento e terminação.

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    A multifuncionalidade da agricultura urbana e a sua integração no ecossistema urbano da ilha de São Luís.

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    O aumento contínuo da população urbana traz graves problemas urbanos nas cidades, como: abastecimento alimentar, em especial da camada social vulnerável. A agricultura urbana apresenta grande potencial de melhoria da vida das populações marginalizadas, e sua relação da cidade com o meio ambiente. Objetivou-se conhecer a agricultura urbana praticada em São Luís na sua caracterização socioespacial. Realizou-se pesquisa do tipo quantitativa e qualitativa para compreender a agricultura praticada em seus espaços, e os atores no atual modelo de planejamento urbano do município. O percurso metodológico consistiu na realização de pesquisa bibliográfica, pesquisa de campo e análise qualitativa e quantitativa dos dados. Para o estudo das categorias analíticas, com suporte teórico de Mougeot e Smit, na agricultura urbana. Lefevbre e Harvey, para as relações entre cidade e campo; Ascher, Maricato e Burnett, para o planejamento urbano. Constatou-se que a produção de hortícolas no município de São Luís é insuficiente para abastecimento interno, considerando a produção do estado do Maranhão, e o alto número de importação de produtos de outros estados. Evidenciou-se a falta de discussões e ações dos diversos atores na formação de políticas públicas visando o desenvolvimento da agricultura urbana. Além disso, também se observou o processo de fragmentação urbana no município de São Luís. A agricultura urbana é viável para incrementar a produção interna de alimentos no município, aproveita espaços ociosos, contribui para a segurança alimentar e conserva os recursos naturais.Orientador: Alex Oliveira de Souza

    Radiative Corrections to the Aharonov-Bohm Scattering

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    We consider the scattering of relativistic electrons from a thin magnetic flux tube and perturbatively calculate the order α\alpha, radiative correction, to the first order Born approximation. We show also that the second order Born amplitude vanishes, and obtain a finite inclusive cross section for the one-body scattering which incorporates soft photon bremsstrahlung effects. Moreover, we determine the radiatively corrected Aharonov-Bohm potential and, in particular, verify that an induced magnetic field is generated outside of the flux tube.Comment: 14 pages, revtex, 3 figure

    Quebra de dormência de sementes de pequi (Caryocar coriaceum Wittm.).

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    O fruto do pequizeiro possui grande aceitação na culinária regional, sendo consumido com arroz, frango, feijão, podendo ser usado também na fabricação de licor, sorvetes e picolés (VERA, 2004). Contudo, sua exploração ocorre de forma totalmente extrativista (OLIVEIRA, 2009), tornando esta atividade de grande importância socioeconômica, gerando renda e emprego à população do cerrado. O objetivo deste trabalho foi avaliar tratamentos de quebra de dormência de sementes de pequi
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