scholarly journals Determination of Generalized Permeability Function and Field Energy Density in Artificial Magnetics Using the Equivalent-Circuit Method

2007 ◽  
Vol 55 (1) ◽  
pp. 92-99 ◽  
Author(s):  
Pekka M. T. Ikonen ◽  
Sergei A. Tretyakov
Keyword(s):  
Energy Density ◽  
Equivalent Circuit ◽  
Field Energy ◽  
Permeability Function ◽  
Equivalent Circuit Method ◽  
Field Energy Density

Electric Displacement Gradients in the Elastic Dielectric

1971 ◽  
Vol 49 (11) ◽  
pp. 1419-1433 ◽  
Author(s):  
C. C. Huang ◽  
J. Grindlay
Keyword(s):  
Energy Density ◽  
Electric Displacement ◽  
Field Energy ◽  
Small Field ◽  
Model Calculations ◽  
Polarization Gradient ◽  
Field Energy Density ◽  
Deformation Gradients ◽  
Elastic Dielectric

A variational principle is used to derive a nonlinear theory of the static elastic and dielectric response of an insulator whose energy density is a function of the deformation gradients, the electric displacement components, and the electric displacement gradients. The linearized or small field version of this theory differs from Mindlin's theory of the elastic dielectric with polarization gradient arguments in the energy density. From an application of the linear theory to the determination of the response of a particular system with non-piezoelectric cubic material symmetry, it is concluded that to satisfy all the boundary conditions there can be no explicit displacement gradient dependence in the small field energy density representation. An analogous result holds for Mindlin's theory.We also examine three microscopic model calculations, by Ginzburg, Mindlin, and Askar et al., and we conclude that in each case the effect obtained can be attributed equally well to the presence of arguments other than the polarization gradient. Ginzburg's model is shown to have an energy density with arguments which are the polarization components and the gradients of polarization gradients.

scholarly journals Finite size scaling in the solar wind magnetic field energy density as seen by WIND

2002 ◽  
Vol 29 (10) ◽  
pp. 86-1-86-4 ◽  
Author(s):  
B. Hnat ◽  
S. C. Chapman ◽  
G. Rowlands ◽  
N. W. Watkins ◽  
W. M. Farrell
Keyword(s):  
Magnetic Field ◽  
Solar Wind ◽  
Energy Density ◽  
Finite Size ◽  
Field Energy ◽  
Finite Size Scaling ◽  
Size Scaling ◽  
Magnetic Field Energy ◽  
Solar Wind Magnetic Field ◽  
Field Energy Density

Variations in the ratio of particle to magnetic field energy density, as observed by Ulysses/HI-SCALE

1999 ◽  
Vol 24 (1-3) ◽  
pp. 79-81 ◽  
Author(s):  
G. Kasotakis ◽  
E.T. Sarris ◽  
P. Marhavilas ◽  
N. Sidiropoulos ◽  
P. Trochoutsos ◽  
...  
Keyword(s):  
Magnetic Field ◽  
Energy Density ◽  
Field Energy ◽  
Magnetic Field Energy ◽  
Field Energy Density

scholarly journals On the electrostatic energy of two point charges

2014 ◽  
Vol 36 (3) ◽  
Author(s):  
A.C. Tort
Keyword(s):  
Fixed Point ◽  
Energy Density ◽  
Electrostatic Field ◽  
Electrostatic Energy ◽  
Field Energy ◽  
Field Energy Density ◽  
Physical Features

The electrostatic field energy due to two fixed point-like charges shows some peculiar features concerning the distribution in space of the field energy density of the system. Here we discuss the evaluation of the field energy and the mathematical details that lead to those peculiar and non-intuitive physical features.

scholarly journals New physical parameterizations of monopole solutions in five-dimensional general relativity and the role of negative scalar field energy in vacuum solutions

2021 ◽  
Author(s):  
Y. Balytskyi ◽  
D. Hoyer ◽  
A. O. Pinchuk ◽  
L. L. Williams
Keyword(s):  
General Relativity ◽  
Scalar Field ◽  
Energy Density ◽  
Electric Field ◽  
Electric Charge ◽  
Field Energy ◽  
Scalar Charge ◽  
Field Energy Density ◽  
Vacuum Solutions

Abstract Novel parameterizations are presented for monopole solutions to the static, spherically-symmetric vacuum field equations of five-dimensional general relativity. First proposed by Kaluza, 5D general relativity unites gravity and classical electromagnetism with a scalar field. These monopoles correspond to bodies carrying mass, electric charge, and scalar charge. The new parameterizations provide physical insight into the nature of electric charge and scalar field energy. The Reissner-Nordstr\"om limit is compared with alternate physical interpretations of the solution parameters. The new parameterizations explore the role of scalar field energy and the relation of electric charge to scalar charge. The Kaluza vacuum equations imply the scalar field energy density is the negative of the electric field energy density for all known solutions, so the total electric and scalar field energy of the monopole is zero. The vanishing of the total electric and scalar field energy density for vacuum solutions seems to imply the scalar field can be understood as a negative-energy foundation on which the electric field is built.

Poly(Vinyldene Fluoride-Trifluoroethylene-Chlorofluoroethylene) Terpolymer as High-energy-density Capacitor Materials

2005 ◽  
Vol 889 ◽  
Author(s):  
Baojin Chu ◽  
Xin Zhou ◽  
Bret Neese ◽  
Q. M. Zhang
Keyword(s):  
Energy Density ◽  
Large Change ◽  
High Energy ◽  
Dielectric Behavior ◽  
Polymer Materials ◽  
High Energy Density ◽  
Breakdown Field ◽  
Field Energy ◽  
Penn State ◽  
Field Energy Density

ABSTRACTRecently, PVDF-TrFE-CFE terpolymer was developed in Penn State University. The polymer exhibits relaxor ferroelectric behavior. At room temperature, the low-field dielectric constant can be as high as 50-60, more than ten times larger than other dielectric polymer materials, such as Polypropylene, the most widely-used polymer materials for capacitor applications. Due to the large change of electric field induced polarization and high breakdown field, energy density of the terpolymer can reach ∼10 J/cm3, much larger than other polymer materials. In this paper, experimental results on energy density and non-linear dielectric behavior of the terpolymer will be reported.

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