scholarly journals Does a localized plasma disturbance in the ionosphere evolve to electrostatic equilibrium? Evidence to the contrary

2016 ◽  
Vol 121 (1) ◽  
pp. 649-687 ◽  
Author(s):  
Russell B. Cosgrove
Keyword(s):  
Electrostatic Equilibrium ◽  
Plasma Disturbance

The electrostatics of conductors

2018 ◽  
Author(s):  
J. Pierrus
Keyword(s):  
Harmonic Functions ◽  
Conformal Transformation ◽  
Early Stage ◽  
Fourier Method ◽  
Relaxation Method ◽  
Numerical Calculations ◽  
Laplace’S Equation ◽  
Laplace's Equation ◽  
Electrostatic Equilibrium

This chapter begins by proving some important properties of (i) conductors in electrostatic equilibrium, and (ii) harmonic functions. These results underpin most of the remaining questions of Chapter 3. The coefficients of capacitance for an arbitrary arrangement of conductors are introduced at an early stage, and numerical calculations then follow in a number of subsequent questions. Some important techniques (both analytical and numerical) for finding solutions to Laplace’s equation are considered. These include: the Fourier method, the relaxation method, themethod of images and the method of conformal transformation. All of these are discussed in some detail, and with appropriate examples.

The Role of Inertia and Dissipation in the Dynamics of the Director for a Nematic Liquid Crystal Coupled with an Electric Field

2015 ◽  
Vol 18 (1) ◽  
pp. 147-166 ◽  
Author(s):  
Peder Aursand ◽  
Johanna Ridder
Keyword(s):  
Liquid Crystal ◽  
Electric Field ◽  
Nematic Liquid Crystal ◽  
Relative Strength ◽  
Inertial Forces ◽  
Director Field ◽  
Voltage Difference ◽  
Electrostatic Equilibrium ◽  
Variational Wave

AbstractWe consider the dynamics of the director in a nematic liquid crystal when under the influence of an applied electric field. Using an energy variational approach we derive a dynamic model for the director including both dissipative and inertial forces.A numerical scheme for the model is proposed by extending a scheme for a related variational wave equation. Numerical experiments are performed studying the realignment of the director field when applying a voltage difference over the liquid crystal cell. In particular, we study how the relative strength of dissipative versus inertial forces influence the time scales of the transition between the initial configuration and the electrostatic equilibrium state.

The Arc-Length Method from Controlling Load to Controlling Electric Potential

2010 ◽  
Vol 33 ◽  
pp. 636-641
Author(s):  
Xiao Bin Yang
Keyword(s):  
Electrostatic Field ◽  
Electric Potential ◽  
Critical Voltage ◽  
Equilibrium Path ◽  
Nonlinear Coupling ◽  
Arc Length ◽  
Governing Equations ◽  
Coupling Equation ◽  
Plate Electrode ◽  
Electrostatic Equilibrium

This paper generalizes the arc-length method, and proposes a new scheme of controlling equilibrium path including static equilibrium and electrostatic equilibrium. To take example for the thin plate electrode posing on the electrostatic field force, whose governing equations are the two fold nonlinear coupling equation, the method to compute the incremental factor is give in detain. The result is to show that not only the approximate critical voltage is obtained but also the trace after losing stability is found stably.

Three-Dimensional Behavior of Plasma Disturbance in Nonequilibrium MHD Power Generation

1998 ◽  
Vol 118 (5) ◽  
pp. 587-592
Author(s):  
Takahiro Murakami ◽  
Hiromicbi Kobayashi ◽  
Yoshihiro Okuno ◽  
Shigeharu Kabashima
Keyword(s):  
Power Generation ◽  
Three Dimensional ◽  
Plasma Disturbance

The thermodynamics of the Vlasov equilibria

1985 ◽  
Vol 33 (3) ◽  
pp. 359-367 ◽  
Author(s):  
E. Minardi
Keyword(s):  
Stability Analysis ◽  
Charge Distribution ◽  
Bifurcation Theory ◽  
Statistical Procedure ◽  
Coarse Grained ◽  
Marginal Stability ◽  
Principle Of Maximum Entropy ◽  
Entropy Functional ◽  
Principle Of Maximum ◽  
Electrostatic Equilibrium

A statistical procedure is applied for constructing an entropy functional associated with a collective Vlasov equilibrium described by a given coarse-grained current and charge distribution. The functional is not at a maximum if the magnetic or electrostatic equilibrium is not unique. This property connects the principle of maximum entropy with bifurcation theory and marginal stability analysis.

scholarly journals Plasma disturbance of phospholipid metabolism in major depressive disorder by integration of proteomics and metabolomics

2018 ◽  
Vol Volume 14 ◽  
pp. 1451-1461 ◽  
Author(s):  
Si-Wen Gui ◽  
Yi-Yun Liu ◽  
Xiao-Gang Zhong ◽  
Xin-Yu Liu ◽  
Peng Zheng ◽  
...  
Keyword(s):  
Major Depressive Disorder ◽  
Depressive Disorder ◽  
Phospholipid Metabolism ◽  
Major Depressive ◽  
Plasma Disturbance
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