Nonlinear neutral inclusions: assemblages of coated ellipsoids

The problem of determining nonlinear neutral inclusions in (electrical or thermal) conductivity is considered. Neutral inclusions, inserted in a matrix containing a uniform applied electric field, do not disturb the field outside the inclusions. The well-known Hashin-coated sphere construction is an example of a neutral inclusion. In this paper, we consider the problem of constructing neutral inclusions from nonlinear materials. In particular, we discuss assemblages of coated ellipsoids. The proposed construction is neutral for a given applied field.

Download Full-text

Numerical Studies of Signal Amplification in a BaTiO3:Ce Crystal with an Applied Electric Field

Journal of Nonlinear Optical Physics & Materials ◽

10.1142/s0218863597000265 ◽

1997 ◽

Vol 06 (03) ◽

pp. 349-360

Author(s):

Ping Xie ◽

Jian-Hua Dai ◽

Peng-Ye Wang ◽

Hong-Jun Zhang

Keyword(s):

Electric Field ◽

Input Signal ◽

Applied Electric Field ◽

Signal Amplification ◽

Applied Field ◽

Critical Role ◽

Three Dimensional ◽

Pump Intensity ◽

Numerical Studies ◽

Fanning Effect

The gain and the spatial fidelity of signal amplification in photorefractive BaTiO 3: Ce , with considerations of the effect of the externally applied electric field and the fanning effect (or noise), are numerically studied using a three-dimensional analysis. Although the gain of the signal can be enhanced with the applied field, its spatial fidelity is greatly reduced, especially at a small angle between the two propagation directions of the pump and signal beams. The fanning effect reduces the spatial fidelity, and the smaller the input signal to pump intensity ratio is, the smaller the fidelity becomes. At large magnitudes of the applied field, the applied field plays a critical role in the reduction of the fidelity of the signal and the fanning effect on the fidelity is negligible.

Download Full-text

THE RESPONSE OF STARCH/GELATIN/GLYCERIN AQUEOUS ELECTRORHEOLOGICAL ELASTOMER TO APPLIED ELECTRIC FIELD

International Journal of Modern Physics B ◽

10.1142/s0217979205030438 ◽

2005 ◽

Vol 19 (07n09) ◽

pp. 1449-1455 ◽

Cited By ~ 10

Author(s):

LINGXIANG GAO ◽

XIAOPENG ZHAO

Keyword(s):

Electric Field ◽

Applied Electric Field ◽

Applied Field ◽

Weight Fraction ◽

Compression Modulus ◽

Composite Systems ◽

Water Matrix ◽

Dc Electric Field

The aqueous ER elastomers, containing crude organic starch particles which dispersed in gelatin/glycerin/water matrix, were prepared with or without the applied DC electric field. The responses of the composite systems to the electric field were tested by the compression modulus and resistance of the elastomers. The result shows that they are enhanced and controlled evidently under an applied DC electric field. The strongest responses appear at 25% weight fraction of starch. In addition, the increment modulus of the elastomer increases with the strength of the applied field within 0.5~1.5 kV/mm, while after the field is stronger than 1.5 kV/mm it doesn't increase with field, appearing "saturation".

Download Full-text

The cataphoresis of spherical, solid non-conducting particles in a symmetrical electrolyte

Proceedings of the Royal Society of London Series A - Mathematical and Physical Sciences ◽

10.1098/rspa.1950.0154 ◽

1950 ◽

Vol 203 (1075) ◽

pp. 514-533 ◽

Cited By ~ 193

Keyword(s):

Zeta Potential ◽

Theoretical Analysis ◽

Field Strength ◽

Electric Field ◽

Applied Electric Field ◽

Applied Field ◽

Considerable Importance ◽

Steady Velocity ◽

General Method ◽

Charged Spheres

A theoretical analysis is given of the motion of solid non-conducting charged spheres through symmetrical electrolytes, under the action of an applied electric field. It is shown that the steady velocity of translation U may be written in the alternative forms U = Ʃ ∞ 1 c v Q v = Ʃ ∞ 1 d v ζ v , where Qe denotes the charge on a sphere and ζ the zeta-potential; the coefficients c v and d v are proportional to the applied field strength and depend upon the radius of the particle and the concentrations, valencies and mobilities of the ions in the electrolyte. A general method is given for calculating the c v and d v and the first four coefficients of each series found explicitly. Some quite general properties of the c v are also deduced. It is shown that under certain conditions, the terms of the series for U , apart from the first, are of considerable importance and must be taken into account in estimating ζ from U .

Download Full-text

Thermal conductivity ofKH2PO4in an applied electric field

Physical Review B ◽

10.1103/physrevb.49.16025 ◽

1994 ◽

Vol 49 (22) ◽

pp. 16025-16027 ◽

Cited By ~ 6

Author(s):

Fengqi Lin ◽

Da-Ming Zhu

Keyword(s):

Thermal Conductivity ◽

Electric Field ◽

Applied Electric Field

Download Full-text

DRIFT VELOCITY OF HOT ELECTRONS IN n-TYPE GERMANIUM

Canadian Journal of Physics ◽

10.1139/p62-114 ◽

1962 ◽

Vol 40 (9) ◽

pp. 1056-1066 ◽

Cited By ~ 22

Author(s):

Robert Barrie ◽

R. R. Burgess

Keyword(s):

Field Strength ◽

Electric Field ◽

Drift Velocity ◽

Applied Electric Field ◽

Applied Field ◽

Hot Electrons ◽

High Fields

The drift velocity of electrons in n-type germanium has been measured as a function of applied electric field at lattice temperatures of 77° K and 295° K. Three directions of applied field were used, viz. (100), (110), and (111) crystal directions. The range of field strength was from 500 v/cm to 75 kv/cm. A longitudinal anisotropy was observed at 77° K but not at 295° K. All specimens showed saturation of the drift velocity at high fields. At 77° K, all (100) specimens exhibited a breakdown effect, the cause of which is not known. The results are analyzed on the basis of an extension of Stratton's theory to the case of a many-valley semiconductor.

Download Full-text

The Changing Shape of a Liquid Drop in an Electric Field

International Letters of Chemistry Physics and Astronomy ◽

10.18052/www.scipress.com/ilcpa.3.24 ◽

2013 ◽

Vol 3 ◽

pp. 24-40

Author(s):

A.A.S.N. Jayalal ◽

K.A.I.L. Wijewardena Gamalath

Keyword(s):

Surface Tension ◽

Dielectric Constant ◽

Aspect Ratio ◽

Electric Field ◽

Applied Electric Field ◽

Applied Field ◽

Cone Angle ◽

Constant Ratio ◽

Spherical Drop ◽

Fluid Drop

An approximate extension of the slender body theory was used to determine the static shape of a conically ended dielectric fluid drop in an electric field. Using induced surface charge density, hydrostatic pressure and the surface tension of the liquid with interfacial tension stresses and Maxwell electric stresses, a governing equation was obtained for slender geometries for the equilibrium configuration and numerically solved for 3D. For an applied electric field, the electric energy on a spherical drop can be maximized in a weak dielectric by increasing the applied electric field. The minimum dielectric constant ratio needed to produce a conical end is 14.5 corresponding to a cone angle 31.25° .There is a sharp increment of the aspect ratio after reaching the threshold value of the applied field strength and the deformation of the fluid drop increases with the increase in dielectric constant of the fluid drop. For a particular dielectric constant ratio, the threshold electric field producing conical interface increases with the increased surface tension of the liquid. The threshold electric field for a water drop is 1.0854×104 units and the corresponding aspect ratio is 15. For the minimum dielectric ratio the cone angle of the drop decreases with applied field making the drop more stable at higher fields.

Download Full-text

Modelisation of Permeability as a Function of Induction and Temperature by the Brillouin’s Function for the Formalization of the Magnetothermal Problem

Advanced Materials Research ◽

10.4028/www.scientific.net/amr.941-944.677 ◽

2014 ◽

Vol 941-944 ◽

pp. 677-683

Author(s):

Boudjemaa Merouane ◽

Mohamed Sebbani

Keyword(s):

Thermal Conductivity ◽

Electric Field ◽

Heat Equation ◽

Electric Conductivity ◽

Induction Heating ◽

Applied Field ◽

Maxwell’S Equations ◽

Maxwell's Equations ◽

Scientific Literature

In induction heating, one is often brought to solve the system of coupled equations:Thermal physical caracteristics (calorific capacity and thermal conductivity.) and electromagnetic (permeability, susceptibility, reluctivity, permittivity, electric conductivity) depend on the temperature for the first, the temperature and the magnetic or electric field for the seconds.The modelisation of the permeability according to the only applied field magnetic abounds in the scientific literature. But, its modelisation as a function of the applied field and also temperature is rather rare.The goal of this work is thus to establish this double modelisation.In this intention, we will use the heat equation, the Maxwell's equations and the function of Brillouin, wich is the physical and formally basis of this modelisation.

Download Full-text