A focused beam technique has been developed for diagnosing the characteristics of individual particles within a polydisperse ensemble. In the Rayleigh-Debye approximation the scattered fields are related to the orientation and properties of a scatterer by means of explicit analytic formulas. The results simplify when the particle size is small compared to the minimum beam diameter.

We investigate finite volume schemes for the one-dimensional Kerr-Debye model of electromagnetic propagation in nonlinear media. In this relaxation quasilinear hyperbolic system, the relaxation parameter is the response time of the media. When it tends to zero, the relaxed limit is known as the Kerr system. We show that basic explicit splitting methods fail to preserve this asymptotic. Followin...

Continuum theories of electrolytes are widely used to describe physical processes in various biological systems, even when the system dimensions are comparable to the Debye length. We test the validity of the mean field approximation in Poisson–Boltzmann and Poisson–Nernst–Planck theories by contrasting their predictions with those of Brownian dynamics simulations in cylindrical pores of varyin...

This potential has a short range repulsive part due to the electrostatics and a long-range attractive part due to the dipolar interaction as described in [? ]. It is expressed in units of kBT . We provide below the values of the experimental parameters entering in this potential corresponding to the τ = 2s experiment described in the main text. The electrostatic part of the potential is obtaine...

The glare spots usually seen on a single water droplet which has been illuminated by a plane wave are produced by geometrical rays which correspond to the different terms of the Debye series expansion of the Mie scattered field. Recently other glare spot enhancements have been predicted which correspond to scattering resonances coupling to the orbiting rays associated with high-order geometrica...

The thermodynamics of a charge-asymmetric lattice gas of positive ions carrying charge q and negative ions with charge 2zq is investigated using Debye–Hückel theory. Explicit analytic and numerical calculations, which take into account the formation of neutral and charged clusters and cluster solvation by the residual ions, are performed for z52, 3, and 4. As charge asymmetry increases, the pre...

This paper presents an approach to storing semistructured data in relational databases. We focus on semistructured data as extracted from Web pages by a tool called DEByE (Data Extraction By Example), and organized according to its data model, the DEByE Object Model (DEByE-OM). The approach presented here consists in representing the structure of objects extracted by DEByE by a relational schem...