scholarly journals Generalized Buneman Dispersion Relation in the Longitudinally Dominated Magnetic Field

2011 ◽  
Vol 2011 ◽  
pp. 1-6 ◽  
Author(s):  
Martin Bohata ◽  
David Bren ◽  
Petr Kulhánek
Keyword(s):  
Magnetic Field ◽  
Dispersion Relation ◽  
Plasma Physics ◽  
Plasma Jet ◽  
Background Plasma ◽  
Magnetized Plasmas ◽  
Beam Plasma ◽  
Two Component ◽  
Component Plasma

The generalized Buneman dispersion relation for two-component plasma is derived in the case of nonzero pressure of both plasma components and longitudinally dominated magnetic field. The derived relation is also valid for other field configurations mentioned in the paper. It can be useful in a variety of plasma systems, for example, in the analyses of plasma jet penetrating into background plasma, in beam-plasma physics, and in tests of various magnetohydrodynamics (MHD) and hybrid numerical codes designed for the magnetized plasmas.

Dispersion relation and the dieletric tensor for magnetized plasmas with inhomogeneous magnetic field

1995 ◽  
Vol 51 (3) ◽  
pp. 2407-2424 ◽  
Author(s):  
R. Gaelzer ◽  
R. S. Schneider ◽  
L. F. Ziebell
Keyword(s):  
Magnetic Field ◽  
Dispersion Relation ◽  
Inhomogeneous Magnetic Field ◽  
Magnetized Plasmas

A novel method of inversion for a class of matrices: application to calculation of two-component plasma viscosities in a magnetic field

1990 ◽  
Vol 68 (7) ◽  
pp. 1072-1076
Author(s):  
Byung Chan Eu
Keyword(s):  
Magnetic Field ◽  
Transport Coefficients ◽  
Homogeneous Magnetic Field ◽  
Neumann Series ◽  
Neutral System ◽  
High Dimensions ◽  
Two Component ◽  
Component Plasma ◽  
Novel Method ◽  
Class Of Matrices

To calculate transport coefficients for a plasma in a magnetic field in a linear approximation it is necessary to invert matrices of fairly high dimensions. In this paper we present a novel method of inverting matrices involved in such problems. The method requires a solution of an inhomogeneous matrix integral equation in the Neumann series and a resummation of the series obtained. It involves inversions of lower order matrices, which can be achieved easily. We then apply the method to calculate viscosities of a two-component plasma subject to a homogeneous magnetic field. The structure of the viscosity matrix (tensor) calculated thereby is shown to be the same as that of a neutral system with an axial symmetry; namely, it can be decomposed into a scalar, a 2 × 2 matrix, and a 3 × 3 matrix. The method developed here can be applied to calculate other transport coefficients of the two-component plasma. Keywords: mathematical method, viscosity, plasmas, transport coefficients, kinetic theory.

Waves in Multicomponent Vlasov Plasmas with Anisotropic Pressure

1967 ◽  
Vol 22 (12) ◽  
pp. 1927-1935 ◽  
Author(s):  
Frank G. Verheest
Keyword(s):  
Magnetic Field ◽  
Dispersion Relation ◽  
External Magnetic Field ◽  
Small Amplitude ◽  
Anisotropic Pressure ◽  
Moment Equations ◽  
Component Plasma ◽  
General Dispersion ◽  
Ion Species ◽  
Constant External Magnetic Field

This is a study of the dispersion formulas for small amplitude waves in a fully ionized N-component plasma, in the presence of a constant external magnetic field. The number of ion species (whether positively or negatively charged) is left general. From a BOLTZMANN-VLASOV equation for each component of the plasma the first three moment equations are taken. The lowtemperature approximation is used to close the set of equations. This set is then solved together with the equations of MAXWELL to obtain a general dispersion relation, a determinant of order 3N. This relation is studied for the principal waves, and various compact formulas are derived. They are shown to include several known results, when applied to plasmas of the usual compositions. Their general form makes them suitable for various physical approximations.

Dispersion relation and growth rate in a free-electron laser with a background plasma

2015 ◽  
Vol 81 (3) ◽  
Author(s):  
T. Mohsenpour ◽  
B. Maraghechi
Keyword(s):  
Magnetic Field ◽  
Growth Rate ◽  
Dispersion Relation ◽  
Plasma Density ◽  
Free Electron ◽  
Free Electron Laser ◽  
Axial Magnetic Field ◽  
Background Plasma ◽  
Positive Energy ◽  
Induced Velocity

The method of perturbation has been applied to derive a general dispersion relation for a free-electron laser (FEL) with background plasma and helical wiggler in the presence of an axial magnetic field. This dispersion relation is solved numerically to find unstable interactions among all of the wave modes. Numerical calculations show that new coupling between the left wave and positive-energy space-charge of electron beam are found when wiggler induced velocity is large. This coupling does not change with increasing the plasma density. The growth rate of FEL is changed with increasing the plasma density and the normalized axial magnetic field.

Surface plasmon dispersion relation for two component plasma spheres

1981 ◽  
Vol 38 (11) ◽  
pp. 1027-1029 ◽  
Author(s):  
S.B. Ogale ◽  
P.V. Panat ◽  
J. Mahanty
Keyword(s):  
Dispersion Relation ◽  
Surface Plasmon ◽  
Two Component ◽  
Component Plasma ◽  
Plasmon Dispersion

Growth of magnetic field in a two-component plasma

2006 ◽  
Author(s):  
J. F. Nieves ◽  
Sarira Sahu
Keyword(s):  
Magnetic Field ◽  
Two Component ◽  
Component Plasma

Nonlinear instabilities in magnetized plasmas: a geometrical treatment

2004 ◽  
Vol 82 (8) ◽  
pp. 593-608 ◽  
Author(s):  
Peter Dobias ◽  
John C Samson
Keyword(s):  
Magnetic Field ◽  
Differential Geometry ◽  
Plasma Physics ◽  
Nonlinear Stability ◽  
Free Field ◽  
Magnetized Plasmas ◽  
Main Concern ◽  
Self Consistent ◽  
Variational Calculations ◽  
The Magnetic Field

The objectives of this paper are four-fold. The first, and main concern, is the development of an alternative approach to the description of plasma physics using methods of differential geometry. These methods have long been used in many other areas of physics, such as general relativity, or quantum field theory, but do not seem to have seen extensive application in plasma physics, and in particular in magnetohydrodynamics (MHD). The second objective is to employ this formalism for perturbation calculations, particularly to nonlinear processes in MHD. The use of differential geometry for variational calculations in ideal MHD allows a self-consistent, and compact calculation of the Lagrangian, and yields results valid for arbitrary topologies of the magnetic field. The third objective is to outline the use of this formalism in analyzing several plasma processes that occur in systems with complex magnetic-field topologies. We specifically focus on the nonlinear stability of plasmas in the magnetotail-like configuration of the magnetic field, such as found in the Earth's magnetosphere. Finally, we utilize previous results to present a self-consistent method for the investigation of the nonlinear stability of magnetized plasmas and for the investigation of the transition between linear and nonlinearbehavior for systems close to equilibrium. This method is based on the analysis of potential energy density, using results for plasma displacement from a linear model to calculate the second- andthird-order energies. We demonstrate this method on an example of a force-free field with magnetic-field lines stretched from dipolar configuration. In this example, we can clearly identify the transition between linear and nonlinear instability. PACS Nos.: 52.30.–g, 52.35.–g

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