1,126 research outputs found

    Stress concentration at fillets, holes, and keyways as found by the plaster-model method

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    Bibliography: p. 31-32

    Optimization of the leak conductance in the squid giant axon

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    We report on a theoretical study showing that the leak conductance density, \GL, in the squid giant axon appears to be optimal for the action potential firing frequency. More precisely, the standard assumption that the leak current is composed of chloride ions leads to the result that the experimental value for \GL is very close to the optimal value in the Hodgkin-Huxley model which minimizes the absolute refractory period of the action potential, thereby maximizing the maximum firing frequency under stimulation by sharp, brief input current spikes to one end of the axon. The measured value of \GL also appears to be close to optimal for the frequency of repetitive firing caused by a constant current input to one end of the axon, especially when temperature variations are taken into account. If, by contrast, the leak current is assumed to be composed of separate voltage-independent sodium and potassium currents, then these optimizations are not observed.Comment: 9 pages; 9 figures; accepted for publication in Physical Review

    A laser-driven target of high-density nuclear polarized hydrogen gas

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    We report the best figure-of-merit achieved for an internal nuclear polarized hydrogen gas target and a Monte Carlo simulation of spin-exchange optical pumping. The dimensions of the apparatus were optimized using the simulation and the experimental results were in good agreement with the simulation. The best result achieved for this target was 50.5% polarization with 58.2% degree of dissociation of the sample beam exiting the storage cell at a hydrogen flow rate of 1.1×10181.1\times 10^{18} atoms/s.Comment: Accepted as a Rapid Communication article in Phys. Rev.

    Spinors in Weyl Geometry

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    We consider the wave equation for spinors in D{\cal D}-dimensional Weyl geometry. By appropriately coupling the Weyl vector ϕμ\phi _{\mu} as well as the spin connection ωμab\omega _{\mu a b } to the spinor field, conformal invariance can be maintained. The one loop effective action generated by the coupling of the spinor field to an external gravitational field is computed in two dimensions. It is found to be identical to the effective action for the case of a scalar field propagating in two dimensions.Comment: 13 pages, REVTEX, no figure

    Homotopy Theoretic Models of Type Theory

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    We introduce the notion of a logical model category which is a Quillen model category satisfying some additional conditions. Those conditions provide enough expressive power that one can soundly interpret dependent products and sums in it. On the other hand, those conditions are easy to check and provide a wide class of models some of which are listed in the paper.Comment: Corrected version of the published articl

    Heat Kernel for Spin-3/2 Rarita-Schwinger Field in General Covariant Gauge

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    The heat kernel for the spin-3/2 Rarita-Schwinger gauge field on an arbitrary Ricci flat space-time (d>2d>2) is investigated in a family of covariant gauges with one gauge parameter α\alpha. The α\alpha-dependent term of the kernel is expressed by the spin-1/2 heat kernel. It is shown that the axial anomaly and the one-loop divegence of the action are α\alpha-independent, and that the conformal anomaly has an α\alpha-dependent total derivative term in d=2m6d=2m\geq6 dimensions.Comment: 11 pages, latex, ITP-SB-94-3

    Parity-violating Electron Deuteron Scattering and the Proton's Neutral Weak Axial Vector Form Factor

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    We report on a new measurement of the parity-violating asymmetry in quasielastic electron scattering from the deuteron at backward angles at Q2= 0.038 (GeV/c)2. This quantity provides a determination of the neutral weak axial vector form factor of the nucleon, which can potentially receive large electroweak corrections. The measured asymmetry A=-3.51 +/- 0.57(stat) +/- 0.58(sys)ppm is consistent with theoretical predictions. We also report on updated results of the previous experiment at Q2=0.091 (GeV/c)2, which are also consistent with theoretical predictions.Comment: 4 pages, 2 figures, submitted to Phys. Rev. Let
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