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  • Springer  (2)
  • 1985-1989  (2)
  • 1
    Electronic Resource
    Electronic Resource
    Brownian motion in a fluid in elongational flow (1988)
    Springer
    Journal of statistical physics 53 (1988), S. 125-136 
    Details
    ISSN: 1572-9613
    Keywords: Brownian motion ; elongational flow ; fluctuation-dissipation theorem ; fluctuations around stationary states
    Source: Springer Online Journal Archives 1860-2000
    Topics: Physics
    Notes: Abstract Brownian motion of a spherical particle in stationary elongational flow is studied. We derive the Langevin equation together with the fluctuation-dissipation theorem for the particle from nonequilibrium fluctuating hydrodynamics to linear order in the elongation-rate-dependent inverse penetration depths. We then analyze how the velocity autocorrelation function as well as the mean square displacement are modified by the elongational flow. We find that for times small compared to the inverse elongation rate the behavior is similar to that found in the absence of the elongational flow. Upon approaching times comparable to the inverse elongation rate the behavior changes and one passes into a time domain where it becomes fundamentally different. In particular, we discuss the modification of thet −3/2 long-time tail of the velocity autocorrelation function and comment on the resulting contribution to the mean square displacement. The possibility of defining a diffusion coefficient in both time domains is discussed.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF01011549
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    Paper (German National Licenses)
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  • 2
    Electronic Resource
    Electronic Resource
    The effective dielectric constant of a dispersion of clustering spheres (1987)
    Springer
    The European physical journal 68 (1987), S. 343-354 
    Details
    ISSN: 1434-6036
    Source: Springer Online Journal Archives 1860-2000
    Topics: Physics
    Notes: Abstract If one measures the dielectric constant of a water in oil microemulsion the large increase of this dielectric constant both as function of the temperature as well as a function of the volume fraction of water suggests that the water droplets will bind together in clusters. In order to analyse this suggestion in more detail we derive a systematic expansion of the Clausius-Mossotti function in terms of integrals over products of excess cluster polarizabilities and correlation functions. It is found that the excess polarizability of a cluster of spherical droplets is zero except when the spheres almost touch each other. Crucial for this property is the fact that the water spheres are conducting or if they are not conducting have a dielectric constant much larger than the dielectric constant of oil. The large increase of the dielectric constant is a consequence of the increase of the number of bound clusters. An explicit formula is given for the resulting temperature and volume fraction dependence of the dielectric constant.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF01304251
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    Paper (German National Licenses)
    Fulltext
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