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  • 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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  • 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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  • 3
    Electronic Resource
    Electronic Resource
    Polarizability of truncated spheroidal particles supported by a substrate: model and applications (2001)
    Springer
    The European physical journal 24 (2001), S. 267-284 
    Details
    ISSN: 1434-6036
    Keywords: PACS. 78.20.Bh Theory, models, and numerical simulation – 73.20.Mf Collective excitations (including excitons, polarons, plasmons and other charge-density excitations) – 68.55.Ac Nucleation and growth: microscopic aspects
    Source: Springer Online Journal Archives 1860-2000
    Topics: Physics
    Notes: Abstract: The light scattering by three-dimensional clusters supported by a substrate is modelled by representing clusters by truncated spheroids whose polarizability is calculated via a multipolar development of the potential in the quasi-static limit. The determination of the mean island radius, density and aspect ratio from the optical response is examined. The strong influence of both the particle-substrate interaction and the particle shape on the optical behaviour is demonstrated, showing the limits of effective medium and dipolar theories. The Surface Differential Reflectance spectra of silver on MgO(100) and titanium or aluminium on α-Al2O3(0001) surfaces have then been modelled by using the above model, illustrating the capability of optical means to deal with various metals, including those belonging to transition series. In all cases, it is highlighted that the aspect ratio is central in modelling the optical response of supported particles.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/s100510170014
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  • 4
    Electronic Resource
    Electronic Resource
    An electrothermal instability in a conducting wire: Homogeneous and inhomogeneous stationary states for an exactly solvable model (1981)
    Springer
    Journal of statistical physics 24 (1981), S. 215-233 
    Details
    ISSN: 1572-9613
    Keywords: Electrothermal instability ; nonuniform stationary states ; exact solutions ; bifurcation point
    Source: Springer Online Journal Archives 1860-2000
    Topics: Physics
    Notes: Abstract An exactly solvable model of the ballast resistor is considered. Analytic expressions are obtained for the nonuniform stationary temperature distributions and the correspondingI–V characteristics. A bifurcation point for Neumann boundary conditions is found and its analytic properties are discussed. It is found that the infinite wire limit plays a role analogous to the thermodynamic limit in statistical mechanics for equilibrium phase transitions.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF01007645
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  • 5
    Electronic Resource
    Electronic Resource
    Ellipsometry of the liquid-vapor interface close to the critical point: A theoretical analysis (1990)
    Springer
    International journal of thermophysics 11 (1990), S. 13-24 
    Details
    ISSN: 1572-9567
    Keywords: critical point ; ellipsometric coefficient ; liquid-vapor interface
    Source: Springer Online Journal Archives 1860-2000
    Topics: Physics
    Notes: Abstract It is shown that the ellipsometric coefficient for a liquid-vapor interface may be written as the sum of three contributions. The first is given by Drude's formula. The second contribution is due to capillary wave fluctuations. Finally, the third contribution is due to fluctuations of the density profile around the Fisk-Widom profile with a wavelength up to roughly the bulk correlation length and thus short compared to the capillary length. Close to the critical point the first two contributions scale as (T - T c ) β-υ . The expression for the third contribution contains an integral over the excess density correlation function over wave vectors large compared to the inverse bulk correlation length. The scaling behavior of the third contribution is probably such that this term becomes unimportant close to the critical point. The formulae given in this paper only for the liquid-vapor interface may be used for a binary fluid if one makes the usual substitutions. An experimental analysis of the ellipsometric coefficient for binary fluids close to the critical point by Schmidt [1] indicates that the sum of the first two terms predicts a value which is somewhat to large but which has the correct scaling behavior. A discussion of this difference in amplitude is given.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF00503855
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