scholarly journals Ultrafast polychromatic ionization of dielectric solids

2016 ◽  
Author(s):  
P. Jürgens ◽  
M. Jupé ◽  
M. Gyamfi ◽  
D. Ristau
Keyword(s):  
Dielectric Solids

Numerical Methods for Analysis of Charged Vacancy Diffusion in Dielectric Solids

2006 ◽  
Author(s):  
John D. Clayton ◽  
Peter W. Chung ◽  
Michael A. Greenfield ◽  
WIlliam D. Nothwang
Keyword(s):  
Numerical Methods ◽  
Vacancy Diffusion ◽  
Dielectric Solids

Macro-scale description of transient electro-kinetic phenomena over polarizable dielectric solids

2009 ◽  
Vol 620 ◽  
pp. 241-262 ◽  
Author(s):  
G. YOSSIFON ◽  
I. FRANKEL ◽  
T. MILOH
Keyword(s):  
Electric Field ◽  
Electrolyte Solution ◽  
Time Scale ◽  
Temporal Evolution ◽  
Fluid Motion ◽  
Double Layers ◽  
Uniform Field ◽  
Micro Particles ◽  
Macro Scale ◽  
Dielectric Solids

We have studied the temporal evolution of electro-kinetic flows in the vicinity of polarizable dielectric solids following the application of a ‘weak’ transient electric field. To obtain a macro-scale description in the limit of narrow electric double layers (EDLs), we have derived a pair of effective transient boundary conditions directly connecting the electric potentials across the EDL. Within the framework of the above assumptions, these conditions apply to a general transient electro-kinetic problem involving dielectric solids of arbitrary geometry and relative permittivity. Furthermore, the newly derived scheme is applicable to general transient and spatially non-uniform external fields. We examine the details of the physical mechanisms involved in the relaxation of the induced-charging process of the EDL adjacent to polarizable dielectric solids. It is thus established that the time scale characterizing the electrostatic relaxation increases with the dielectric constant of the solid from the Debye time (for the diffusion across the EDL) through the ‘intermediate’ scale (proportional to the product of the respective Debye- and geometric-length scales). Thus, the present rigorous analysis substantiates earlier results largely obtained by heuristic use of equivalent RC-circuit models. Furthermore, for typical values of ionic diffusivity and kinematic viscosity of the electrolyte solution, the latter time scale is comparable to the time scale of viscous relaxation in problems concerning microfluidic applications or micro-particle dynamics. The analysis is illustrated for spherical micro-particles. Explicit results are thus presented for the temporal evolution of electro-osmosis around a dielectric sphere immersed in unbounded electrolyte solution under the action of a suddenly applied uniform field, combining both induced charge and ‘equilibrium’ (fixed charge) contributions to the zeta potential. It is demonstrated that, owing to the time delay of the induced-EDL charging, the ‘equilibrium’ contribution to fluid motion (which is linear in the electric field) initially dominates the (quadratic) ‘induced’ contribution.

Macroscopic theory of dielectric solids. I. The model of molecular optics

1977 ◽  
Vol 55 (24) ◽  
pp. 2169-2179 ◽  
Author(s):  
J. E. Sipe
Keyword(s):  
Constitutive Relations ◽  
Pair Correlation ◽  
Finite Size ◽  
Amorphous Solid ◽  
Amorphous Solids ◽  
Uniform Density ◽  
Macroscopic Theory ◽  
Standard Result ◽  
Dielectric Solids ◽  
Spatially Varying

An improved derivation is given of the macroscopic electrodynamic equations for dielectric solids of finite size composed of molecules with a given polarizability, α = α(ω), interacting only via the retarded dipole–dipole coupling. We present a derivation of the constitutive relations for both crystalline and amorphous solids, which is not based on an expansion in powers of α, and in which the radiative reaction forces are carefully taken into account. The spatially varying density and pair correlation function of an amorphous solid, defined with the help of spatial averaging procedures, are shown to satisfy an integral 'counting' relation, which puts a condition on any physically consistent model of an amorphous solid. In the absence of dissipative damping, a medium is shown to be characterized by a real, in general spatially varying, dielectric constant. For solids of uniform density, crystalline or amorphous, we obtain the standard result that inside such a medium light propagates without scattering. For amorphous solids with varying density, the theory forms the basis of the macroscopic theory of light scattering from density in-homogeneities.

scholarly journals Computational evaluation of the flexoelectric effect in dielectric solids

2014 ◽  
Vol 116 (9) ◽  
pp. 093502 ◽  
Author(s):  
Amir Abdollahi ◽  
Christian Peco ◽  
Daniel Millán ◽  
Marino Arroyo ◽  
Irene Arias
Keyword(s):  
Computational Evaluation ◽  
Flexoelectric Effect ◽  
Dielectric Solids
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