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  • 1
    Electronic Resource
    Electronic Resource
    College Park, Md. : American Institute of Physics (AIP)
    The Journal of Chemical Physics 85 (1986), S. 1621-1627 
    ISSN: 1089-7690
    Source: AIP Digital Archive
    Topics: Physics , Chemistry and Pharmacology
    Notes: A third-order partial differential equation for the concentration or chemical potential of a penetrant diffusing in a relaxing medium with a memory described by a simple Maxwell–Debye relaxation function is shown to be equivalent to generalized diffusion equations with memory terms. We establish some properties of solutions of this equation for both suddenly or adiabatically prepared initial conditions. We extend our general treatment to account for osmotic pressure effects in mechanical equilibrium which can arise due to swelling of the solvent medium in which the transport occurs.
    Type of Medium: Electronic Resource
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  • 2
    Electronic Resource
    Electronic Resource
    Springer
    The European physical journal 11 (1970), S. 139-143 
    ISSN: 1434-6036
    Source: Springer Online Journal Archives 1860-2000
    Topics: Physics
    Description / Table of Contents: Zusammenfassung Es wird bewiesen, daß das Eigenwertspektrum des linearisierten Stoßoperators der Peierlschen Boltzmann-Gleichung für Phononen keine Lücke hat. Deshalb ist die übliche Ableitung hydrodynamischer Gleichungen aus einer Boltzmann-Gleichung nicht auf ein Phononensystem anwendbar.
    Abstract: Résumé On montre qu'il n'y a pas un «gap» dans le spectre des valeurs propres de l'opérateur de collision linéarisé de l'équation de Boltzmann-Peierls. Par conséquence la dérivation usuelle des équations hydrodynamiques de l'équation de Boltzmann n'est pas valable en cas d'un système de phonons.
    Notes: Abstract It is proved that the eigenvalue spectrum of the linearized collision operator of Peierls' phonon-Boltzmann equation has no gap. As a consequence the usual derivation of hydrodynamic equations from a Boltzmann equation is not valid in the case of a phonon system.
    Type of Medium: Electronic Resource
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  • 3
    Electronic Resource
    Electronic Resource
    Springer
    The European physical journal 16 (1973), S. 147-162 
    ISSN: 1434-6036
    Source: Springer Online Journal Archives 1860-2000
    Topics: Physics
    Notes: Abstract The various relaxation times of the thermal magnons in the ferromagnetic Eu-chalcogenides are calculated for temperatures well below the Curie point, and the conditions for the existence of magnon second sound and magnon heat conduction are examined. It is found that for EuS the “frequency window” for magnon second sound exists around 2 MHz at temperatures of about 1 K. In the same material the magnon contribution to the static thermal conductivity should be measurable at temperatures between 1 K and 2 K.
    Type of Medium: Electronic Resource
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  • 4
    Electronic Resource
    Electronic Resource
    Springer
    The European physical journal 231 (1970), S. 362-376 
    ISSN: 1434-601X
    Source: Springer Online Journal Archives 1860-2000
    Topics: Physics
    Notes: Abstract The sound absorption in superfluid helium is calculated using the renormalized perturbation expansion of the phonon self-energy. The second-orderωT 4-result is derived without the assumption of a Lorentzian form of the phonon spectral function. The fourth-order contribution leads to better agreement with experimental data. These results are compared with simple perturbation theory. A discussion of the Boltzmann-equation approach is also given.
    Type of Medium: Electronic Resource
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  • 5
    Electronic Resource
    Electronic Resource
    New York : Wiley-Blackwell
    Journal of Polymer Science: Polymer Physics Edition 23 (1985), S. 675-682 
    ISSN: 0098-1273
    Keywords: Physics ; Polymer and Materials Science
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology , Physics
    Notes: The effect of slow structural relaxation in a solvent of high viscosity on the chemical potential driving the diffusion of penetrant molecules is described by a generalized diffusion equation with a memory term. The linearized version of this equation is solved for some special cases, and the correlation function of concentration fluctuations in thermodynamic equilibrium is calculated. As a result of the memory term, for very slow relaxation two different stages of the diffusion process can be distinguished.
    Additional Material: 1 Ill.
    Type of Medium: Electronic Resource
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