8,774 research outputs found

    Impact of incomplete ionization of dopants on the electrical properties of compensated p-type silicon

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    This paper investigates the importance of incomplete ionization of dopants in compensated p-type Si and its impact on the majority-carrier density and mobility and thus on the resistivity. Both theoretical calculations and temperature-dependent Hall-effect measurements demonstrate that the carrier density is more strongly affected by incomplete ionization in compensated Si than in uncompensated Si with the same net doping. The previously suggested existence of a compensation-specific scattering mechanism to explain the reduction of mobility in compensated Si is shown not to be consistent with the T-dependence of the measuredcarrier mobility. The experiment also shows that, in the vicinity of 300 K, the resistivity of compensated Si has a much weaker dependence on temperature than that of uncompensated silicon

    The Machine Stops

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    The Machine Stops describes a world in which almost all humans have lost the ability to live on the surface of the Earth. Each individual lives in isolation in a \u27cell\u27, with all bodily and spiritual needs met by the omnipotent, global Machine. Most humans welcome this development, as they are skeptical and fearful of first-hand experience. People forget that humans created the Machine, and treat it as a mystical entity whose needs supersede their own. Those who do not accept the deity of the Machine are viewed as \u27unmechanical\u27 and are threatened with Homelessness . With humans being highly dependable on the Machine, what would happen if the Machine stops

    The Machine Stops

    Get PDF
    The Machine Stops describes a world in which almost all humans have lost the ability to live on the surface of the Earth. Each individual lives in isolation in a \u27cell\u27, with all bodily and spiritual needs met by the omnipotent, global Machine. Most humans welcome this development, as they are skeptical and fearful of first-hand experience. People forget that humans created the Machine, and treat it as a mystical entity whose needs supersede their own. Those who do not accept the deity of the Machine are viewed as \u27unmechanical\u27 and are threatened with Homelessness . With humans being highly dependable on the Machine, what would happen if the Machine stops

    Fractional Operators, Dirichlet Averages, and Splines

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    Fractional differential and integral operators, Dirichlet averages, and splines of complex order are three seemingly distinct mathematical subject areas addressing different questions and employing different methodologies. It is the purpose of this paper to show that there are deep and interesting relationships between these three areas. First a brief introduction to fractional differential and integral operators defined on Lizorkin spaces is presented and some of their main properties exhibited. This particular approach has the advantage that several definitions of fractional derivatives and integrals coincide. We then introduce Dirichlet averages and extend their definition to an infinite-dimensional setting that is needed to exhibit the relationships to splines of complex order. Finally, we focus on splines of complex order and, in particular, on cardinal B-splines of complex order. The fundamental connections to fractional derivatives and integrals as well as Dirichlet averages are presented

    Heat transport of clean spin-ladders coupled to phonons: Umklapp scattering and drag

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    We study the low-temperature heat transport in clean two-leg spin ladder compounds coupled to three-dimensional phonons. We argue that the very large heat conductivities observed in such systems can be traced back to the existence of approximate symmetries and corresponding weakly violated conservation laws of the effective (gapful) low--energy model, namely pseudo-momenta. Depending on the ratios of spin gaps and Debye energy and on the temperature, the magnetic contribution to the heat conductivity can be positive or negative, and exhibit an activated or anti-activated behavior. In most regimes, the magnetic heat conductivity is dominated by the spin-phonon drag: the excitations of the two subsystems have almost the same drift velocity, and this allows for an estimate of the ratio of the magnetic and phononic contributions to the heat conductivity.Comment: revised version, 8 pages, 3 figures, added appendi

    On two pieces of folklore in the AdS/CFT duality

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    In the AdS/CFT duality, it is often said that a local symmetry in a bulk theory corresponds to a global symmetry in the corresponding boundary theory, but the global symmetry can become local when one couples with an external source. As a result, the GKP-Witten relation gives a response function instead of a Green function. We explore this point in details using the example of holographic superconductors. We point out that these points play a crucial role to interpret the holographic London equation properly.Comment: 11 pages, ReVTeX4.1; v2: added discussio

    Finite Temperature Spectral Densities of Momentum and R-Charge Correlators in N=4\N=4 Yang Mills Theory

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    We compute spectral densities of momentum and R-charge correlators in thermal N=4\N=4 Yang Mills at strong coupling using the AdS/CFT correspondence. For ωT\omega \sim T and smaller, the spectral density differs markedly from perturbation theory; there is no kinetic theory peak. For large ω\omega, the spectral density oscillates around the zero-temperature result with an exponentially decreasing amplitude. Contrast this with QCD where the spectral density of the current-current correlator approaches the zero temperature result like (T/ω)4(T/\omega)^4. Despite these marked differences with perturbation theory, in Euclidean space-time the correlators differ by only 10\sim 10% from the free result. The implications for Lattice QCD measurements of transport are discussed.Comment: 18 pages, 3 figure

    Aspects of the Noisy Burgers Equation

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    The noisy Burgers equation describing for example the growth of an interface subject to noise is one of the simplest model governing an intrinsically nonequilibrium problem. In one dimension this equation is analyzed by means of the Martin-Siggia-Rose technique. In a canonical formulation the morphology and scaling behavior are accessed by a principle of least action in the weak noise limit. The growth morphology is characterized by a dilute gas of nonlinear soliton modes with gapless dispersion law with exponent z=3/2 and a superposed gas of diffusive modes with a gap. The scaling exponents and a heuristic expression for the scaling function follow from a spectral representation.Comment: 23 pages,LAMUPHYS LaTeX-file (Springer), 13 figures, and 1 table, to appear in the Proceedings of the XI Max Born Symposium on "Anomalous Diffusion: From Basics to Applications", May 20-24, 1998, Ladek Zdroj, Polan
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