21,520 research outputs found

    Commutating brushes tested in dc motors in dry argon atmospheres

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    Test apparatus, procedures, and results are given for dc-motor brushes operating in dry argon. Minimum concentrations of argon impurities are also determined

    Slice Stretching Effects for Maximal Slicing of a Schwarzschild Black Hole

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    Slice stretching effects such as slice sucking and slice wrapping arise when foliating the extended Schwarzschild spacetime with maximal slices. For arbitrary spatial coordinates these effects can be quantified in the context of boundary conditions where the lapse arises as a linear combination of odd and even lapse. Favorable boundary conditions are then derived which make the overall slice stretching occur late in numerical simulations. Allowing the lapse to become negative, this requirement leads to lapse functions which approach at late times the odd lapse corresponding to the static Schwarzschild metric. Demanding in addition that a numerically favorable lapse remains non-negative, as result the average of odd and even lapse is obtained. At late times the lapse with zero gradient at the puncture arising for the puncture evolution is precisely of this form. Finally, analytic arguments are given on how slice stretching effects can be avoided. Here the excision technique and the working mechanism of the shift function are studied in detail.Comment: 16 pages, 4 figures, revised version including a study on how slice stretching can be avoided by using excision and/or shift

    Deriving Boltzmann Equations from Kadanoff-Baym Equations in Curved Space-Time

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    To calculate the baryon asymmetry in the baryogenesis via leptogenesis scenario one usually uses Boltzmann equations with transition amplitudes computed in vacuum. However, the hot and dense medium and, potentially, the expansion of the universe can affect the collision terms and hence the generated asymmetry. In this paper we derive the Boltzmann equation in the curved space-time from (first-principle) Kadanoff-Baym equations. As one expects from general considerations, the derived equations are covariant generalizations of the corresponding equations in Minkowski space-time. We find that, after the necessary approximations have been performed, only the left-hand side of the Boltzmann equation depends on the space-time metric. The amplitudes in the collision term on the right--hand side are independent of the metric, which justifies earlier calculations where this has been assumed implicitly. At tree level, the matrix elements coincide with those computed in vacuum. However, the loop contributions involve additional integrals over the the distribution function.Comment: 14 pages, 5 figures, extended discussion of the constraint equations and the solution for the spectral functio

    Matrix De Rham complex and quantum A-infinity algebras

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    I establish the relation of the non-commutative BV-formalism with super-invariant matrix integration. In particular, the non-commutative BV-equation, defining the quantum A-infinity-algebras, introduced in "Modular operads and Batalin-Vilkovisky geometry" IMRN, Vol. 2007, doi: 10.1093/imrn/rnm075, is represented via de Rham differential acting on the matrix spaces related with Bernstein-Leites simple associative algebras with odd trace q(N), and with gl(N|N). I also show that the Lagrangians of the matrix integrals from "Noncommmutative Batalin-Vilkovisky geometry and Matrix integrals", Comptes Rendus Mathematique, vol 348 (2010), pp. 359-362, arXiv:0912.5484, are equivariantly closed differential forms.Comment: published versio

    \u3ci\u3eEchinococcus vogeli\u3c/i\u3e sp. n. (Cestoda: Taeniidae) from the Bush Dog, \u3ci\u3eSpeothos venaticus\u3c/i\u3e (Lund)

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    Echinococcus vogeli sp. n., from a bush dog, Speothos venaticus (Lund), captured in the Province of Esmeraldas, Ecuador, differs morphologically from the three species of Echinococcus recognized as valid. E. vogeli sp. n. is distinguished from E. granulosus (Batsch 1786) by its larger rostellar hooks, different proportions of the strobila, tubular, sac-like gravid uterus, and different arrangement of the female genital ducts. from E. multilocularis Leuckart 1863 by its larger rostellar hooks, different proportions of the strobila, position of genital pore, and greater number of testes; from E. oligarthrus (Diesing 1863) by different proportions of the strobila, position of genital pore, and greater number of testes. Characters that separate E. vogeli sp. n. from E. granulosus and E. oligarthrus differentiate it respectively from two species of uncertain status, E. patagonicus Szidat 1960 and E. pampeanus Szidat 1967

    Unstable Hadrons in Hot Hadron Gas in Laboratory and in the Early Universe

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    We study kinetic master equations for chemical reactions involving the formation and the natural decay of unstable particles in a thermal bath. We consider the decay channel of one into two particles, and the inverse process, fusion of two thermal particles into one. We present the master equations the evolution of the density of the unstable particles in the early Universe. We obtain the thermal invariant reaction rate using as an input the free space (vacuum) decay time and show the medium quantum effects on π+πρ\pi+\pi \leftrightarrow \rho reaction relaxation time. As another laboratory example we describe the K+KϕK+K \leftrightarrow \phi process in thermal hadronic gas in heavy-ion collisions. A particularly interesting application of our formalism is the π0γ+γ\pi^{0}\leftrightarrow \gamma +\gamma process in the early Universe. We also explore the physics of π±\pi^{\pm} and μ±\mu^{\pm} freeze-out in the Universe.Comment: 13 pages, 9 figures, published in Physical Review

    Multiplicity one theorems: the Archimedean case

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    Let GG be one of the classical Lie groups \GL_{n+1}(\R), \GL_{n+1}(\C), \oU(p,q+1), \oO(p,q+1), \oO_{n+1}(\C), \SO(p,q+1), \SO_{n+1}(\C), and let GG' be respectively the subgroup \GL_{n}(\R), \GL_{n}(\C), \oU(p,q), \oO(p,q), \oO_n(\C), \SO(p,q), \SO_n(\C), embedded in GG in the standard way. We show that every irreducible Casselman-Wallach representation of GG' occurs with multiplicity at most one in every irreducible Casselman-Wallach representation of GG. Similar results are proved for the Jacobi groups \GL_{n}(\R)\ltimes \oH_{2n+1}(\R), \GL_{n}(\C)\ltimes \oH_{2n+1}(\C), \oU(p,q)\ltimes \oH_{2p+2q+1}(\R), \Sp_{2n}(\R)\ltimes \oH_{2n+1}(\R), \Sp_{2n}(\C)\ltimes \oH_{2n+1}(\C), with their respective subgroups \GL_{n}(\R), \GL_{n}(\C), \oU(p,q), \Sp_{2n}(\R), \Sp_{2n}(\C).Comment: To appear in Annals of Mathematic

    Structural and magnetic properties of CoPt mixed clusters

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    In this present work, we report a structural and magnetic study of mixed Co58Pt42 clusters. MgO, Nb and Si matrix can be used to embed clusters, avoiding any magnetic interactions between particles. Transmission Electron Microscopy (TEM) observations show that Co58Pt42 supported isolated clusters are about 2nm in diameter and crystallized in the A1 fcc chemically disordered phase. Grazing Incidence Small Angle X-ray Scattering (GISAXS) and Grazing Incidence Wide Angle X-ray Scattering (GIWAXS) reveal that buried clusters conserve these properties, interaction with matrix atoms being limited to their first atomic layers. Considering that 60% of particle atoms are located at surface, this interactions leads to a drastic change in magnetic properties which were investigated with conventional magnetometry and X-Ray Magnetic Circular Dichro\"{i}sm (XMCD). Magnetization and blocking temperature are weaker for clusters embedded in Nb than in MgO, and totally vanish in silicon as silicides are formed. Magnetic volume of clusters embedded in MgO is close to the crystallized volume determined by GIWAXS experiments. Cluster can be seen as a pure ferromagnetic CoPt crystallized core surrounded by a cluster-matrix mixed shell. The outer shell plays a predominant role in magnetic properties, especially for clusters embedded in niobium which have a blocking temperature 3 times smaller than clusters embedded in MgO
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