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  • 1
    Electronic Resource
    Electronic Resource
    Lie–Poisson structure for the homogeneous motion of self-gravitating compressible fluids (2000)
    College Park, Md. : American Institute of Physics (AIP)
    Journal of Mathematical Physics 41 (2000), S. 875-881 
    Details
    ISSN: 1089-7658
    Source: AIP Digital Archive
    Topics: Mathematics , Physics
    Notes: In this paper we apply the theory developed by Marsden, Ratiu, and Weinstein for the reduction of a Hamiltonian system defined on the cotangent bundle of a Lie group to a Hamiltonian system in the coalgebra of a semidirect product to study the motion of a self-gravitating homogeneous compressible ideal fluid with a variable ellipsoidal boundary, assuming that the motions are given by invertible linear transformations. The relation between the Lie–Poisson equations obtained and the classical Dyson equations is discussed, and the Hamiltonian structure for the homogeneous expansion of a free nonrotating ellipsoid is derived. © 2000 American Institute of Physics.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1063/1.533168
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  • 2
    Electronic Resource
    Electronic Resource
    Overall rotation of a many-body system in Dixon's theory (1996)
    College Park, Md. : American Institute of Physics (AIP)
    Journal of Mathematical Physics 37 (1996), S. 1991-2000 
    Details
    ISSN: 1089-7658
    Source: AIP Digital Archive
    Topics: Mathematics , Physics
    Notes: Using Dixon's theory, an expression for the angular momentum of an N-body system, whose constituent bodies are monopoles that do not interact gravitationally, is obtained. In this expression the contributions to the angular momentum due to the rotational and internal motions of the material system are separated. It is also shown how the existence of a frame with respect to which the total angular momentum of an N-body system is reduced to an expression formally similar to that corresponding to a rigid body instantaneously equivalent to the material system considered. Finally, in space–times of small curvature, a separation of the energy into a part due to the rotational motion and other due to the internal motion, is investigated. © 1996 American Institute of Physics.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1063/1.531490
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  • 3
    Electronic Resource
    Electronic Resource
    Some properties of the inertia tensor in Dixon's theory (1993)
    College Park, Md. : American Institute of Physics (AIP)
    Journal of Mathematical Physics 34 (1993), S. 5908-5915 
    Details
    ISSN: 1089-7658
    Source: AIP Digital Archive
    Topics: Mathematics , Physics
    Notes: On the assumption that the Riemannian curvature and its variation over space–time are small enough and using an explicit expression for the inertia tensor defined by Dixon in his approach to describe the dynamics of extended bodies in general relativity, a proof of the semidefinite negative signature of the inertia tensor is given. Also, a coordinate evolution equation for the inertia tensor of an isolated extended body moving on a reference three-manifold is obtained.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1063/1.530290
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  • 4
    Electronic Resource
    Electronic Resource
    Nanosecond-resolved XMCD on ID24 at the ESRF to investigate the element-selective dynamics of magnetization switching of Gd–Co amorphous thin film (1998)
    Chester : International Union of Crystallography (IUCr)
    Journal of synchrotron radiation 5 (1998), S. 750-752 
    Details
    ISSN: 1600-5775
    Source: Crystallography Journals Online : IUCR Backfile Archive 1948-2001
    Topics: Geosciences , Physics
    Notes: The one-bunch filling mode of the ESRF is combined with a microcoil to generate a pulsed-magnetic-field pump phased with respect to the probe that is given by the bunch of photons emitted each turn (357 kHz). Nanosecond-resolved X-ray magnetic circular dichroism (XMCD) is carried out. Besides the microcoil, the two other key-elements are the energy-dispersive XAS spectrometer, which yields parallel data acquisition, and the diamond-based quarter-wave plate, which tunes the helicity of the photon alternatively left and right.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1107/S0909049597017809
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  • 5
    Electronic Resource
    Electronic Resource
    Quarter-Wave Plates and X-ray Magnetic Circular Dichroism on ID24 at the ESRF (1998)
    Chester : International Union of Crystallography (IUCr)
    Journal of synchrotron radiation 5 (1998), S. 1298-1303 
    Details
    ISSN: 1600-5775
    Source: Crystallography Journals Online : IUCR Backfile Archive 1948-2001
    Topics: Geosciences , Physics
    Notes: The first XMCD measurements carried out on the ID24 energy-dispersive XAS beamline at the ESRF are reported. Circular-polarized X-rays are obtained using perfect diamond crystals as quarter-wave plates. The very small source divergence allows circular polarizations close to unity to be obtained.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1107/S0909049598004154
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  • 6
    Electronic Resource
    Electronic Resource
    High-Focusing Bragg-Crystal Polychromator Design for Energy-Dispersive X-ray Absorption Spectroscopy (1998)
    Chester : International Union of Crystallography (IUCr)
    Journal of synchrotron radiation 5 (1998), S. 1250-1257 
    Details
    ISSN: 1600-5775
    Source: Crystallography Journals Online : IUCR Backfile Archive 1948-2001
    Topics: Geosciences , Physics
    Notes: The design of a highly focusing profiled Si(111) Bragg crystal polychromator for dispersive EXAFS (extended X-ray absorption fine structure) experiments is described. The contour of the crystal has been optimized to give the best focus over the full 4–13 keV energy range. The profile optimization has been improved taking into account all the degrees of freedom of the geometry and the results of X-ray tracing simulations. The profile of the crystal has been calculated to take full advantage of the new possibilities given by the undulator source and the optics of beamline ID24 at the European Synchrotron Radiation Facility. Full spot sizes have been measured to be between 20 and 40 µm in the 5–12 keV energy range. These values compare well with X-ray tracing simulations and are the smallest spots ever obtained with energy-dispersive EXAFS optics, keeping, however, a wide enough energy bandpass for most X-ray absorption spectroscopy experiments.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1107/S0909049598004002
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  • 7
    Electronic Resource
    Electronic Resource
    An exchangeable Bragg/Laue polychromator for energy-dispersive XAFS (1998)
    Chester : International Union of Crystallography (IUCr)
    Journal of synchrotron radiation 5 (1998), S. 1396-1397 
    Details
    ISSN: 1600-5775
    Source: Crystallography Journals Online : IUCR Backfile Archive 1948-2001
    Topics: Geosciences , Physics
    Notes: An original design for a cooled exchangeable polychromator for energy-dispersive XAFS (X-ray absorption fine structure) working either in the transmission configuration (Laue case) or in the reflection configuration (Bragg case) is presented. It enables the acquisition of X-ray absorption spectra between 5 and 25 keV with a spot size on the sample that can reach to less than 20 µm FWHM for some energies. Only 1 h is needed to exchange both benders in operative mode. Parallel transmission spectra with a bandpass between 5 and 10% can be obtained in the full energy range. The dispersive optics and mechanics of ID24 (ESRF, Grenoble, France) have been designed to obtain XAFS spectra in less than 1 s and, in some cases, in the millisecond range.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1107/S0909049598011315
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  • 8
    Electronic Resource
    Electronic Resource
    Dispersive XAS at third-generation sources: strengths and limitations (1999)
    Chester : International Union of Crystallography (IUCr)
    Journal of synchrotron radiation 6 (1999), S. 146-148 
    Details
    ISSN: 1600-5775
    Source: Crystallography Journals Online : IUCR Backfile Archive 1948-2001
    Topics: Geosciences , Physics
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1107/S0909049599000096
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  • 9
    Electronic Resource
    Electronic Resource
    Bromine metallization studied by X-ray absorption spectroscopy (2000)
    Springer
    The European physical journal 17 (2000), S. 227-233 
    Details
    ISSN: 1434-6036
    Keywords: PACS. 61.10.Ht X-ray absorption spectroscopy: EXAFS, NEXAFS, XANES, etc. - 61.50.Ks Crystallographic aspects of phase transformations; pressure effects - 61.66.Bi Elemental solids
    Source: Springer Online Journal Archives 1860-2000
    Topics: Physics
    Notes: Abstract: Bromine has been studied up to a pressure of 110 GPa by X-ray absorption spectroscopy (XAS) at the bromine K-edge, that allows to measure the pressure evolution of the width of the unoccupied conduction band. At GPa we observe a slope change in the evolution of this width. Comparison with published calculations of the electronic density of states indicates that the physical origin of the slope change is compatible with the metallisation process. This is also confirmed by a simple tight binding calculation. In addition, the metallisation pressure value is in agreement with calculated ones. At GPa a discontinuity in the evolution of the width of the sigma antibonding band points out the onset of a phase transformation. This result is compatible with the observed phase transformation near GPa by X-ray diffraction that is associated with the molecular dissociation.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/s100510070136
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  • 10
    Electronic Resource
    Electronic Resource
    Relativistic orbital perturbations in a weak gravitational field (1986)
    Springer
    International journal of theoretical physics 25 (1986), S. 175-193 
    Details
    ISSN: 1572-9575
    Source: Springer Online Journal Archives 1860-2000
    Topics: Physics
    Notes: Abstract With the general third-order equations of motion for a test particle, Synge's third-order orbital equations at great distance in the weak gravitational field generated by a massive body are derived. The body has an axis of symmetry around which is rotating steadily. The results found for the advance of perihelion using first integrals of motion for the general equations show that the effect due to the inner stress of the body can be derived for orbits with inclination with respect to the equator of the body. Then, by means of the variation of the parameters method, we obtain with the equations at great distance the corresponding perturbations on the elements of such orbits in the field considered. These perturbations result to be of second order with regard to the mass of the body (the basis of the approximation).
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF00677705
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