41,427 research outputs found

    A Lambda CDM bounce scenario

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    We study a contracting universe composed of cold dark matter and radiation, and with a positive cosmological constant. As is well known from standard cosmological perturbation theory, under the assumption of initial quantum vacuum fluctuations the Fourier modes of the comoving curvature perturbation that exit the (sound) Hubble radius in such a contracting universe at a time of matter-domination will be nearly scale-invariant. Furthermore, the modes that exit the (sound) Hubble radius when the effective equation of state is slightly negative due to the cosmological constant will have a slight red tilt, in agreement with observations. We assume that loop quantum cosmology captures the correct high-curvature dynamics of the space-time, and this ensures that the big-bang singularity is resolved and is replaced by a bounce. We calculate the evolution of the perturbations through the bounce and find that they remain nearly scale-invariant. We also show that the amplitude of the scalar perturbations in this cosmology depends on a combination of the sound speed of cold dark matter, the Hubble rate in the contracting branch at the time of equality of the energy densities of cold dark matter and radiation, and the curvature scale that the loop quantum cosmology bounce occurs at. Finally, for a small sound speed of cold dark matter, this scenario predicts a small tensor-to-scalar ratio

    International diversification at home and abroad

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    We analyze foreigners' and domestic institutional investors' positions in U.S. equities. Controlling for many factors, we uncover a common preference for large firms and firms that are diversified internationally. The domestic preference for internationally diversified firms implies that investors might obtain substantial international diversification by investing at home. Using an international factor model, we show that exposure to foreign equity markets is indeed greater for domestic firms that are more diversified internationally, suggesting that at least some of the home-grown foreign exposure translates into international diversification benefits. After accounting for home-grown foreign exposure, the share of "foreign" equities in investors' portfolios nearly doubles, reducing (but not eliminating) the observed home bias. --home bias,international portfolio allocation,foreign exposure

    International Diversification at Home and Abroad

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    It is an established fact that investors favor the familiar%u2014be it domestic securities or, within a country, the securities of nearby firms%u2014and avoid investments that would provide the greatest diversification benefits. While we do not rule out familiarity as an important driver of portfolio allocations, we provide new evidence of investors%u2019 international diversification motive. In particular, our analysis of the security-level U.S. equity holdings of foreign and domestic institutional investors indicates that institutional investors reveal a preference for domestic multinationals (MNCs), even after controlling for familiarity factors. We attribute this revealed preference to the desire to obtain %u201Csafe%u201D international diversification. We then show that holdings of domestic MNCs are substantial and, after accounting for this home-grown foreign exposure, that the share of %u201Cforeign%u201D equities in investors%u2019 portfolios roughly doubles, reducing (but not eliminating) the observed home bias.

    Reversal of magnetization of a single-domain magnetic particle by the ac field of time-dependent frequency

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    We report numerical and analytical studies of the reversal of the magnetic moment of a single-domain magnetic particle by a circularly polarized ac field of time-dependent frequency. For the time-linear frequency sweep, the phase diagrams are computed that illustrate the dependence of the reversal on the frequency sweep rate v, the amplitude of the ac field h, the magnetic anisotropy field d, and the damping parameter alpha. It is shown that the most efficient magnetization reversal requires a non-linear time dependence of the frequency, omega(t), for which an exact analytical formula is derived with account of damping. The necessary condition of the reversal is h > alpha d. Implementation of a small-scale magnetization reversal is proposed in which a nanomagnet is electromagnetically coupled to two weak superconducting links controlled by the voltage. Dynamics of such a system is analyzed with account of the back effect of the magnet on the superconducting links.Comment: 11 pages, 16 figures, 0 table

    Cyclic cosmology from Lagrange-multiplier modified gravity

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    We investigate cyclic and singularity-free evolutions in a universe governed by Lagrange-multiplier modified gravity, either in scalar-field cosmology, as well as in f(R)f(R) one. In the scalar case, cyclicity can be induced by a suitably reconstructed simple potential, and the matter content of the universe can be successfully incorporated. In the case of f(R)f(R)-gravity, cyclicity can be induced by a suitable reconstructed second function f2(R)f_2(R) of a very simple form, however the matter evolution cannot be analytically handled. Furthermore, we study the evolution of cosmological perturbations for the two scenarios. For the scalar case the system possesses no wavelike modes due to a dust-like sound speed, while for the f(R)f(R) case there exist an oscillation mode of perturbations which indicates a dynamical degree of freedom. Both scenarios allow for stable parameter spaces of cosmological perturbations through the bouncing point.Comment: 8 pages, 3 figures, references added, accepted for publicatio
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