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  • 1990-1994  (41)
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  • 1
    Electronic Resource
    Electronic Resource
    Springer
    Journal of cluster science 5 (1994), S. 145-155 
    ISSN: 1572-8862
    Keywords: Rhenium ; molybdenum ; dimetal complexes ; δ to δ* transition ; high pressure ; solid state ; optical spectra
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mechanical Engineering, Materials Science, Production Engineering, Mining and Metallurgy, Traffic Engineering, Precision Mechanics , Physics
    Notes: Abstract The results obtained from the application of high pressure in optical absorption studies of compounds with metal-metal quadruple bonds are reviewed. The different degrees of balance between intermolecular and intramolecular effects of compression in different cases are highlighted. A consistent effect observed for [Re2Cl8]2−, [Mo2Cl8]4− , and related compounds is a continuous shift to Iower energy (red) in the δ to δ* excitation with increasing pressure. This observation is interpreted in terms of significant van der Waals interactions between the molecular chromophore and its surroundings, leading to relative stabilization of the more polarizable excited state. Changes in the intensity of the δ to δ* peak are not correlated with the changes in position. The intensity changes become consistent only at relatively high pressures, and this falloff is attributed largely to compression and deformation of the cell gasket. In certain cases, such as [Re2 I 8]2− and Re2(piv)4X2, piv = pivalate, X= CI, Br, rearrangement to a new species is observed upon the application of high pressure. These rearrangements are all reversible upon pressure release, but they involve different degrees of interaction between adjacent molecules.
    Type of Medium: Electronic Resource
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  • 2
    Electronic Resource
    Electronic Resource
    Springer
    Celestial mechanics and dynamical astronomy 59 (1994), S. 201-208 
    ISSN: 1572-9478
    Keywords: Variable mass ; Boltzmann equation ; Galaxies ; Star clusters
    Source: Springer Online Journal Archives 1860-2000
    Topics: Physics
    Notes: Abstract We study special aspects of the N-body problem with masses varying according to the Eddington-Jeans law with powers n=2 and 3. Our main result is that a particular set of variables can be found that allows one to write the pertinent Boltzmann and Poisson equations in a fashion similar to that corresponding to the usual fixed mass situation.
    Type of Medium: Electronic Resource
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  • 3
    ISSN: 1432-0649
    Keywords: 36.40
    Source: Springer Online Journal Archives 1860-2000
    Topics: Physics
    Notes: Abstract The effects of background gases on the optical emission of the excimer-laser-ablated plume from a brass target have been studied experimentally. It is found that the plume emission can be enhanced significantly in a proper gas ambient. In hydrogen, the highest peak intensity is detected, and in argon, there is a distinctive difference in the pressure-dependent emission between in He and in the other three gases, Ar, N2 and H2. Moreover, the monitored line peak intensity remains unchanged in Ar and N2 and increases in H2 within a distance above the target surface; but in He, the observed peak intensity decreases with distance like in vacuum. Furthermore, the emissions of several more atomic lines of Cu and Zn atoms from the plume are also found to be enhanced in the same manner in gas ambient. Some physical processes involved in the plume expansion and the possible mechanisms for the enhanced emission of the plume in backing gas are discussed.
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  • 4
    ISSN: 1572-9605
    Keywords: La2CuO4 ; high pressure ; La-Ca-Cu-O ; Y-Sr-La-Cu-O ; oxygen pressure
    Source: Springer Online Journal Archives 1860-2000
    Topics: Electrical Engineering, Measurement and Control Technology , Physics
    Notes: Abstract The unique coordination of the copper ions in +1, +2, and +3 oxidation states, which are stable in a range of oxygen partial pressure. 10−6〈P(O2)〈 103 atm, makes possible the formation of a wide variety of distinct structures. By controlling the oxygen pressure during the synthesis and annealing, the distribution of metal and oxygen ions can be modified on an atomic scale to optimize the structural and electronic properties. We present several examples of compounds for which the critical structural elements for superconductivity, i.e., the perfectly ordered CuO2 planes, have been obtained and doped with holes by means of high oxygen pressure,P(O2)〉1 atm. These materials, La2CuO4+δ , La2−x Ca x CuO4, and YSr2−x La x Cu3O7+δ , offer a unique opportunity to study the relationship between superconductivity and structural, magnetic, and chemical properties.
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  • 5
    Electronic Resource
    Electronic Resource
    Springer
    Journal of statistical physics 75 (1994), S. 797-816 
    ISSN: 1572-9613
    Keywords: Boltzmann equation ; Maxwell molecules ; nonlinear transport ; mutual diffusion
    Source: Springer Online Journal Archives 1860-2000
    Topics: Physics
    Notes: Abstract The hierarchy of moments of the Boltzmann equation for a binary mixture of mechanically different Maxwell molecules is exactly solved. The solution corresponds to a nonequilibrium homogeneous steady state generated by an external force that accelerates particles of each species (or “color”) along opposite directions. As a consequence, macroscopic fluxes are induced in spite of the absence of concentration gradients. Explicit expressions for the fluxes of mass and momentum as functions of the field strength, the mass ratio, the molar fractions, and the interaction constant ratio are obtained. In particular, the color conductivity coefficient reduces to the mutual diffusion coefficient in the zero-field limit. Some physically interesting limiting cases are discussed. The maximum-entropy method is used to construct an approximate velocity distribution function from the exact knowledge of the mass and momentum fluxes. This distribution is exact up to second order in the color field and also in the limit of large color field.
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  • 6
    Electronic Resource
    Electronic Resource
    Springer
    Journal of statistical physics 74 (1994), S. 1085-1115 
    ISSN: 1572-9613
    Keywords: Lattice gas automata ; transport coefficients ; non-detailed balance ; staggered invariants ; Boltzmann equation
    Source: Springer Online Journal Archives 1860-2000
    Topics: Physics
    Notes: Abstract FCHC lattice gases are the basic models for studying flow problems in three-dimensional systems. This paper presents a self-contained theoretical analysis and some computer simulations of such lattice gases, extended to include an arbitrary number of rest particles, with special emphasis on non-semi-detailed balance (NSDB) models. The special FCHC lattice symmetry guarantees isotropy of the Navier-Stokes equations, and enumerates the 12 spurious conservation laws (staggered momenta). The kinetic theory is based on the mean field approximation or the nonlinear Boltzmann equation. It is shown how calculation of the eigenvalues of the linearized Boltzmann equation offers a simple alternative to the Chapman-Enskog method or the multi-time-scale methods for calculating transport coefficients and relaxation rates. The simulated values for the speed of sound in NSDB models slightly disagree with the Boltzmann prediction.
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  • 7
    Electronic Resource
    Electronic Resource
    Springer
    Journal of superconductivity 7 (1994), S. 921-924 
    ISSN: 1572-9605
    Keywords: Iodine ; superconductivity ; high pressure ; low temperature ; monatomic phase
    Source: Springer Online Journal Archives 1860-2000
    Topics: Electrical Engineering, Measurement and Control Technology , Physics
    Notes: Abstract The superconductivity of metallic iodine is observed at temperatures below 1.2 K under pressures above 28 GPa by magnetization and electrical resistance measurements. The pressure dependence of the superconducting transition temperature is studied up to 74 GPa. This is the first observation of the superconductivity of the molecular-dissociated monatomic metal.
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  • 8
    Electronic Resource
    Electronic Resource
    Springer
    Journal of statistical physics 76 (1994), S. 1415-1437 
    ISSN: 1572-9613
    Keywords: Boltzmann equation ; Robertson-Walker space-times ; linearization procedures ; asymptotic kinetic equations ; convergence to equilibrium ; dust model ; hydrodynamic description
    Source: Springer Online Journal Archives 1860-2000
    Topics: Physics
    Notes: Abstract It is the aim of this paper to describe two different linearization procedures for the Boltzmann equation in ak=0 Robertson-Walker space-time. These procedures are discussed with a view to obtaining an asymptotic form of the Boltzmann equation for the late stages of cosmic expansion where the behavior appropriate to a nonrelativistic gas is encountered. Using the asymptotic kinetic equations, a necessary and sufficient condition is formulated under which every small perturbation of the equilibrium distribution function, either classical or relativistic, decays to zero as time goes on. The same condition can be extracted from each of two linearization procedures, and in this sense a comparison is made of these approaches which reveals mutual agreement. Also, applying an asymptotic theory of the Einstein-Boltzmann system, we show that the final state of a gas is dust (i.e., a fluid with zero temperature and pressure). Comparison with the predictions of the Eckart fluid model is briefly presented.
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  • 9
    Electronic Resource
    Electronic Resource
    Springer
    Journal of statistical physics 77 (1994), S. 259-309 
    ISSN: 1572-9613
    Keywords: Lorentz gas ; Boltzmann equation ; Landau equation ; Van Hove limit ; weak-coupling limit ; random potential ; quantum trajectories
    Source: Springer Online Journal Archives 1860-2000
    Topics: Physics
    Notes: Abstract A quantum particle observed on a sufficiently large space-time scale can be described by means of classical particle trajectories. The joint distribution for large-scale multiple-time position and momentum measurements on a nonrelativistic quantum particle moving freely inR v is given by straight-line trajectories with probabilities determined by the initial momentum-space wavefunction. For large-scale toroidal and rectangular regions the trajectories are geodesics. In a uniform gravitational field the trajectories are parabolas. A quantum counting process on free particles is also considered and shown to converge in the large-space-time limit to a classical counting process for particles with straight-line trajectories. If the quantum particle interacts weakly with its environment, the classical particle trajectories may undergo random jumps. In the random potential model considered here, the quantum particle evolves according to a reversible unitary one-parameter group describing elastic scattering off static randomly distributed impurities (a quantum Lorentz gas). In the large-space-time weak-coupling limit a classical stochastic process is obtained with probability one and describes a classical particle moving with constant speed in straight lines between random jumps in direction. The process depends only on the ensemble value of the covariance of the random field and not on the sample field. The probability density in phase space associated with the classical stochastic process satisfies the linear Boltzmann equation for the classical Lorentz gas, which, in the limith→0, goes over to the linear Landau equation. Our study of the quantum Lorentz gas is based on a perturbative expansion and, as in other studies of this system, the series can be controlled only for small values of the rescaled time and for Gaussian random fields. The discussion of classical particle trajectories for nonrelativistic particles on a macroscopic spacetime scale applies also to relativistic particles. The problem of the spatial localization of a relativistic particle is avoided by observing the particle on a sufficiently large space-time scale.
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  • 10
    Electronic Resource
    Electronic Resource
    Springer
    Journal of statistical physics 77 (1994), S. 1051-1077 
    ISSN: 1572-9613
    Keywords: Boltzmann equation ; BGK equation ; diffuse reflection ; boundary value problem
    Source: Springer Online Journal Archives 1860-2000
    Topics: Physics
    Notes: Abstract The paper considers diffuse reflection at the boundary with nonconstant boundary temperature and unbounded velocities. The solutions obtained are proved to conserve mass at the boundary. After a preliminary study of the collisionless case, the main results obtained are existence for the Boltzmann equation in a “DiPerna-Lions framework” with the above boundary conditions in a bounded measure sense, and existence together with uniqueness for the BGK equation with Maxwellian diffusion on the boundary in anL ∞ framework.
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