10,661 research outputs found

    Ripples and Shear Bands in Plowed Granular Media

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    Monodisperse packings of dry, air-fluidized granular media typically exist between volume fractions from Φ\Phi= 0.585 to 0.64. We demonstrate that the dynamics of granular drag are sensitive to volume fraction Φ\Phi and their exists a transition in the drag force and material deformation from smooth to oscillatory at a critical volume fraction Φc=0.605\Phi_{c}=0.605. By dragging a submerged steel plate (3.81 cm width, 6.98 cm depth) through 300μm300 \mu m glass beads prepared at volume fractions between 0.585 to 0.635 we find that below Φc\Phi_{c} the media deformation is smooth and non-localized while above Φc\Phi_{c} media fails along distinct shear bands. At high Φ\Phi the generation of these shear bands is periodic resulting in the ripples on the surface. Work funded by The Burroughs Wellcome Fund and the Army Research Lab MAST CT

    A Terradynamics of Legged Locomotion on Granular Media

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    The theories of aero- and hydrodynamics predict animal movement and device design in air and water through the computation of lift, drag, and thrust forces. Although models of terrestrial legged locomotion have focused on interactions with solid ground, many animals move on substrates that flow in response to intrusion. However, locomotor-ground interaction models on such flowable ground are often unavailable. We developed a force model for arbitrarily-shaped legs and bodies moving freely in granular media, and used this "terradynamics" to predict a small legged robot's locomotion on granular media using various leg shapes and stride frequencies. Our study reveals a complex but generic dependence of stresses in granular media on intruder depth, orientation, and movement direction and gives insight into the effects of leg morphology and kinematics on movement

    Radiative polarization of electrons in a strong laser wave

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    We reanalyze the problem of radiative polarization of electrons brought into collision with a circularly polarized strong plane wave. We present an independent analytical verification of formulae for the cross section given by D.\,Yu. Ivanov et al [Eur.\ Phys.\ J. C \textbf{36}, 127 (2004)]. By choosing the exact electron's helicity as the spin quantum number we show that the self-polarization effect exists only for the moderately relativistic electrons with energy γ=E/mc210\gamma = E/mc^2 \lesssim 10 and only for a non-head-on collision geometry. In these conditions polarization degree may achieve the values up to 65%, but the effective polarization time is found to be larger than 1\,s even for a high power optical or infrared laser with intensity parameter ξ=Emc2/Ecω0.1\xi = |{\bf E}| m c^2/E_c \hbar \omega \sim 0.1 (Ec=m2c3/eE_c = m^2 c^3/e \hbar). This makes such a polarization practically unrealizable. We also compare these results with the ones of some papers where the high degree of polarization was predicted for ultrarelativistic case. We argue that this apparent contradiction arises due to the different choice of the spin quantum numbers. In particular, the quantum numbers which provide the high polarization degree represent neither helicity nor transverse polarization, that makes the use of them inconvenient in practice.Comment: minor changes compared to v3; to appear in PR

    SN1987A - a Testing Ground for the KARMEN Anomaly

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    We show, that SN1987A can serve as an astrophysical laboratory for testing the viability of the assertion that a new massive neutral fermion is implied by the KARMEN data. We show that a wide range of the parameters characterizing the proposed particle is ruled out by the above constraints making this interpretation very unlikely.Comment: 12 pages, 1 eps figure embedded, to appear in Phys. Lett.

    Kodaira-Spencer formality of products of complex manifolds

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    We shall say that a complex manifold XX is emph{Kodaira-Spencer formal} if its Kodaira-Spencer differential graded Lie algebra AX0,(ThetaX)A^{0,*}_X(Theta_X) is formal; if this happen, then the deformation theory of XX is completely determined by the graded Lie algebra H(X,ThetaX)H^*(X,Theta_X) and the base space of the semiuniversal deformation is a quadratic singularity.. Determine when a complex manifold is Kodaira-Spencer formal is generally difficult and we actually know only a limited class of cases where this happen. Among such examples we have Riemann surfaces, projective spaces, holomorphic Poisson manifolds with surjective anchor map H(X,OmegaX1)oH(X,ThetaX)H^*(X,Omega^1_X) o H^*(X,Theta_X) and every compact K"{a}hler manifold with trivial or torsion canonical bundle. In this short note we investigate the behavior of this property under finite products. Let X,YX,Y be compact complex manifolds; we prove that whenever XX and YY are K"{a}hler, then XimesYX imes Y is Kodaira-Spencer formal if and only if the same holds for XX and YY. A revisit of a classical example by Douady shows that the above result fails if the K"{a}hler assumption is droppe

    Surprising simplicity in the modeling of dynamic granular intrusion

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    Granular intrusions, such as dynamic impact or wheel locomotion, are complex multiphase phenomena where the grains exhibit solid-like and fluid-like characteristics together with an ejected gas-like phase. Despite decades of modeling efforts, a unified description of the physics in such intrusions is as yet unknown. Here we show that a continuum model based on the simple notions of frictional flow and tension-free separation describes complex granular intrusions near free surfaces. This model captures dynamics in a variety of experiments including wheel locomotion, plate intrusions, and running legged robots. The model reveals that three effects (a static contribution and two dynamic ones) primarily give rise to intrusion forces in such scenarios. Identification of these effects enables the development of a further reduced-order technique (Dynamic Resistive Force Theory) for rapid modeling of granular locomotion of arbitrarily shaped intruders. The continuum-motivated strategy we propose for identifying physical mechanisms and corresponding reduced-order relations has potential use for a variety of other materials.Comment: 41 pages including supplementary document, 10 figures, and 8 vide
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