Various definitions for the QCD Debye mass and its evaluation are reviewed in a non-perturabtive framework for the study of screening of general static sources. While it is possible to perturbatively integrate over scales ∼ T and thus construct a 3d effective theory, the softer scales ∼ gT and ∼ gT are strongly coupled for temperatures < ∼ 10 GeV and require lattice simulations. Within the effe...

We present an alternative way to calculate the screening of the static potential between two charges in (non)abelian gauge theories at high temperatures. Instead of a loop expansion of a gauge boson self-energy, we evaluate the energy shift of the vacuum to order e 2 after applying an external static magnetic field and extract a temperature-and momentum-dependent dielectric permittivity. The Ha...

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 predict theoretically that long-wavelength surface charge modulations universally reduce the pressure between the charged surfaces with counterions compared with the case of uniformly charged surfaces with the same average surface charge density. The physical origin of this effect is the fact that surface charge modulations always lead to enhanced counte-rion localization near the surfaces...

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...