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  • 11
    Digitale Medien
    Digitale Medien
    Two-particle cluster integral in the expansion of the dielectric constant (1982)
    Springer
    Journal of statistical physics 28 (1982), S. 649-672 
    Details
    ISSN: 1572-9613
    Schlagwort(e): Effective dielectric constant ; cluster integral ; two-sphere problem ; random media ; Claurius-Mossotti formula
    Quelle: Springer Online Journal Archives 1860-2000
    Thema: Physik
    Notizen: Abstract We study in detail the two-particle cluster integral in the cluster expansion for the effective dielectric constant of a suspension of spherically symmetric polarizable inclusions embedded in a uniform medium. Although our form for the integrand differs from that derived earlier by Finkel'berg and by Jeffrey, we show that the integral is equivalent. The two-body dielectric problem for particles with an arbitrary radial dependence of the dielectric constant is solved by an expansion in spherical harmonics. Numerical results for some special models illustrate the importance of multipole contributions to the effective dielectric constant.
    Materialart: Digitale Medien
    URL: http://dx.doi.org/10.1007/BF01011874
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  • 12
    Digitale Medien
    Digitale Medien
    Very-short-wavelength collective modes in fluids (1982)
    Springer
    Journal of statistical physics 27 (1982), S. 223-281 
    Details
    ISSN: 1572-9613
    Schlagwort(e): Hydrodynamical modes ; collective modes ; fluids ; kinetic theory ; neutron scattering
    Quelle: Springer Online Journal Archives 1860-2000
    Thema: Physik
    Notizen: Abstract The existence of very-short-wavelength collective modes in fluids is discussed. These collective modes are the extensions of the five hydrodynamic (heat, sound, viscous) modes to wavelengths of the order of the mean free path in a gas or to a fraction of the molecular size in a liquid. They are computed here explicitly on the basis of a model kinetic equation for a hard sphere fluid. At low densities all five modes are increasingly damped with decreasing wavelength till each ceases to exist at a cutoff wavelength. At high densities the extended heat mode softens very appreciably for wavelengths of the order of the size of the particles and becomes a diffusion-like mode that persists till much shorter wavelengths than the other modes. Except for the shortest wavelengths these collective modes and in particular the heat mode dominate the dynamical structure factorS(k, ω) for all densities. The agreement of the theory with experimentalS(k, ω) of liquid Ar seems to imply that very-short-wavelength collective modes also occur in real fluids.
    Materialart: Digitale Medien
    URL: http://dx.doi.org/10.1007/BF01008939
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  • 13
    Digitale Medien
    Digitale Medien
    The Clausius-Mossotti formula and its nonlocal generalization for a dielectric suspension of spherical inclusions (1983)
    Springer
    Journal of statistical physics 33 (1983), S. 241-260 
    Details
    ISSN: 1572-9613
    Schlagwort(e): Clausius-Mossotti formula ; cluster expansion ; random media ; dielectric ; suspectibility ; nonlocal
    Quelle: Springer Online Journal Archives 1860-2000
    Thema: Physik
    Notizen: Abstract Employing a recently developed cluster expansion for the effective dielectric constant of a suspension of spherical inclusions, we show which parts of the cluster integrals give rise to the Clausius-Mossotti formula. The same selection of terms is then used to obtain an approximate expression for the wave-vector-dependent effective dielectric tensor. For a system of hard spheres with only dipole polarizability this expression is evaluated in closed form. This last result is then used to derive the form of the electrostatic potential due to a point charge in the effective medium. For physically reasonable values of the polarizability, the potential has asymptotically the form corresponding to a medium with the Clausius-Mossotti dielectric constant, while at short range it oscillates about this form. For values of the polarizability beyond the physical range critical points are found at which the oscillations become long range.
    Materialart: Digitale Medien
    URL: http://dx.doi.org/10.1007/BF01009796
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  • 14
    Digitale Medien
    Digitale Medien
    Kinetic theory of fluctuations near a convective instability (1983)
    Springer
    Journal of statistical physics 33 (1983), S. 639-694 
    Details
    ISSN: 1572-9613
    Schlagwort(e): Kinetic theory ; Rayleigh-Bénard cell ; mode coupling ; correlation functions
    Quelle: Springer Online Journal Archives 1860-2000
    Thema: Physik
    Notizen: Abstract The kinetic theory of density and velocity fluctuations below and above the first convective instability in a Benard cell is presented. Results are given in a form valid for all fluid densities. In particular, the singular behavior near the instability point is computed and a detailed comparison with that near a critical point is made. Mode coupling effects, involving the viscous and the heat mode, that determine the singular behavior of the thermal conductivity near the critical point, are also responsible for the singular behavior of the pair correlation function and in particular the density-density correlation function near the instability point. The anomalous density fluctuations could be measured directly by microwave scattering experiments, while the velocity fluctuation could be measured by laser Doppler velocimetry.
    Materialart: Digitale Medien
    URL: http://dx.doi.org/10.1007/BF01018838
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  • 15
    Digitale Medien
    Digitale Medien
    Nonequilibrium fluctuations in μ space (1981)
    Springer
    Journal of statistical physics 25 (1981), S. 153-180 
    Details
    ISSN: 1572-9613
    Schlagwort(e): Fluctuations ; nonequilibrium statistical mechanics ; master equation ; time correlation functions ; hierarchy equations ; master hierarchy ; pair correlation function
    Quelle: Springer Online Journal Archives 1860-2000
    Thema: Physik
    Notizen: Abstract The properties of fluctuations inμ space in or outside thermal equilibrium are obtained by solving hierarchies of equations derived either from the Liouville or the Master equation. In particular we study the one-, two-, etc., time correlation functions that describe the spatial and temporal behavior of the fluctuations inμ space. Explicit solutions are obtained for a dilute gas. The Langevin approach is briefly discussed. Our results are compared with those obtained in the extensive literature, which is reviewed in some detail.
    Materialart: Digitale Medien
    URL: http://dx.doi.org/10.1007/BF01008484
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  • 16
    Digitale Medien
    Digitale Medien
    Cluster expansion for the dielectric constant of a polarizable suspension (1982)
    Springer
    Journal of statistical physics 28 (1982), S. 135-164 
    Details
    ISSN: 1572-9613
    Schlagwort(e): Cluster expansion ; virial coefficients ; dielectric constant ; polarizability ; suspension ; shape dependence ; absolute convergence ; Clausius-Mossotti formula
    Quelle: Springer Online Journal Archives 1860-2000
    Thema: Physik
    Notizen: Abstract We derive a cluster expansion for the electric susceptibility kernel of a dielectric suspension of spherically symmetric inclusions in a uniform background. This also leads to a cluster expansion for the effective dielectric constant. It is shown that the cluster integrals of any order are absolutely convergent, so that the dielectric constant is well defined and independent of the shape of the sample in the limit of a large system. We compare with virial expansions derived earlier in statistical mechanics for the dielectric constant of a nonpolar gas. In these expansions the virial coefficients are given by integrals which are only conditionally convergent.
    Materialart: Digitale Medien
    URL: http://dx.doi.org/10.1007/BF01011628
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  • 17
    Digitale Medien
    Digitale Medien
    Semiconductor laser physics (1982)
    Springer
    Applied physics 28 (1982), S. 208-218 
    Details
    ISSN: 1432-0649
    Schlagwort(e): 85.60
    Quelle: Springer Online Journal Archives 1860-2000
    Thema: Physik
    Materialart: Digitale Medien
    URL: http://dx.doi.org/10.1007/BF00697847
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  • 18
    Digitale Medien
    Digitale Medien
    Analysis of ultrasonic wave scattering for characterization of defects in solids: I. Spherical inclusions and reciprocity (1982)
    Springer
    Journal of nondestructive evaluation 3 (1982), S. 175-182 
    Details
    ISSN: 1573-4862
    Schlagwort(e): ultrasonic wave scattering ; inclusions ; reciprocity ; NDE
    Quelle: Springer Online Journal Archives 1860-2000
    Thema: Elektrotechnik, Elektronik, Nachrichtentechnik , Mathematik
    Notizen: Abstract This paper, as part of a series on elastic wave scattering, presents results of measurements and calculations on scattering of ultrasonic waves by a solid spherical inclusion (tungsten carbide) embedded in titanium alloy by the diffusion bonding process. Both direct scattering and mode-converted scattering angular distributions are reported for shear and compressional incident waves. The consequences upon the signals when transmitter and receiver were interchanged are explored in a reciprocity rule.
    Materialart: Digitale Medien
    URL: http://dx.doi.org/10.1007/BF00566558
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  • 19
    Digitale Medien
    Digitale Medien
    Ingezonden (1981)
    Springer
    Pharmacy world & science 3 (1981), S. 844-844 
    Details
    ISSN: 1573-739X
    Quelle: Springer Online Journal Archives 1860-2000
    Thema: Chemie und Pharmazie
    Materialart: Digitale Medien
    URL: http://dx.doi.org/10.1007/BF02193287
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