Electromagnetic waves in a relativistic plasma stream: fusion instability

1982 ◽  
Vol 27 (2) ◽  
pp. 205-213 ◽  
Author(s):  
J. N. Mohanty ◽  
P. Misra
Keyword(s):  
Distribution Function ◽  
Electromagnetic Waves ◽  
Equilibrium Distribution ◽  
Relativistic Plasma ◽  
Equilibrium Distribution Function ◽  
Plasma Stream ◽  
Thermal Velocity ◽  
Relativistic Kinematics ◽  
Streaming Velocity

We derive the dispersion formulae for electromagnetic waves including relativistic kinematics and a corresponding Maxwellian equilibrium distribution function without any approximations and having anisotropy in the streaming velocity. For non-relativistic temperatures, waves propagate when the streaming velocity is much smaller than the thermal velocity of the species, with varying thermal modes.

Laser beat wave in a relativistic plasma

1990 ◽  
Vol 44 (2) ◽  
pp. 231-237 ◽  
Author(s):  
Alain Magneville
Keyword(s):  
Distribution Function ◽  
Power Conversion Efficiency ◽  
Conversion Efficiency ◽  
Equilibrium Distribution ◽  
Power Conversion ◽  
High Plasma ◽  
Relativistic Plasma ◽  
Laser Beams ◽  
Equilibrium Distribution Function ◽  
Hot Plasma

A relativistic study of the beat wave of two laser beams in a hot plasma is presented in the case where the modifications of the distribution function due to this beat wave are much smaller than the equilibrium distribution function. This situation corresponds to small laser energies or high plasma temperatures. The power-conversion efficiency of the laser beams is evaluated for different values of temperatures, laser energies and frequencies.

scholarly journals Validity of the molecular-dynamics-lattice-gas global equilibrium distribution function

2019 ◽  
Vol 30 (10) ◽  
pp. 1941007 ◽  
Author(s):  
M. Reza Parsa ◽  
Aleksandra Pachalieva ◽  
Alexander J. Wagner
Keyword(s):  
Molecular Dynamics ◽  
Distribution Function ◽  
Lattice Gas ◽  
Equilibrium Distribution ◽  
Coarse Graining ◽  
High Volume ◽  
Equilibrium Distribution Function ◽  
Theory Approach ◽  
Lattice Boltzmann Methods ◽  
Definition Of

The molecular-dynamics-lattice-gas (MDLG) method establishes a direct link between a lattice-gas method and the coarse-graining of a molecular dynamics (MD) approach. Due to its connection to MD, the MDLG rigorously recovers the hydrodynamics and allows to validate the behavior of the lattice-gas or lattice-Boltzmann methods directly without using the standard kinetic theory approach. In this paper, we show that the analytical definition of the equilibrium distribution function remains valid even for very high volume fractions.

A LATTICE BGK MODEL FOR SIMULATING SOLITARY WAVES OF THE COMBINED KdV–MKDV EQUATION

2011 ◽  
Vol 25 (04) ◽  
pp. 589-597 ◽  
Author(s):  
CHANGFENG MA
Keyword(s):  
Distribution Function ◽  
Solitary Waves ◽  
Equilibrium Distribution ◽  
Local Equilibrium ◽  
Mkdv Equation ◽  
Equilibrium Distribution Function ◽  
Bgk Model ◽  
Theoretical Results

A lattice BGK model for simulating solitary waves of the combined KdV–MKDV equation, ut+αuux-βu2ux+δuxxx = 0, is established. The tunable parameters in Chapman–Enskog expansion of the local equilibrium distribution function are determined by the coefficient of the combined KdV–MKDV equation. Simulating results fit close in with the theoretical results.

scholarly journals Inverse Chapman–Enskog Derivation of the Thermohydrodynamic Lattice-BGK Model for the Ideal Gas

1998 ◽  
Vol 09 (08) ◽  
pp. 1231-1245 ◽  
Author(s):  
B. M. Boghosian ◽  
P. V. Coveney
Keyword(s):  
Thermal Conductivity ◽  
Distribution Function ◽  
Relaxation Time ◽  
Equilibrium Distribution ◽  
Transport Coefficients ◽  
Ideal Gas ◽  
Equilibrium Distribution Function ◽  
Bgk Model ◽  
Constant Relaxation Time ◽  
The Ideal

A thermohydrodynamic lattice-BGK model for the ideal gas was derived by Alexander et al. in 1993, and generalized by McNamara et al. in the same year. In these works, particular forms for the equilibrium distribution function and the transport coefficients were posited and shown to work, thereby establishing the sufficiency of the model. In this paper, we rederive the model from a minimal set of assumptions, and thereby show that the forms assumed for the shear and bulk viscosities are also necessary, but that the form assumed for the thermal conductivity is not. We derive the most general form allowable for the thermal conductivity, and the concomitant generalization of the equilibrium distribution. In this way, we show that it is possible to achieve variable (albeit density-dependent) Prandtl number even within a single-relaxation-time lattice-BGK model. We accomplish this by demanding analyticity of the third moments and traces of the fourth moments of the equilibrium distribution function. The method of derivation demonstrates that certain undesirable features of the model — such as the unphysical dependence of the viscosity coefficients on temperature — cannot be corrected within the scope of lattice-BGK models with constant relaxation time.

Stability of a plasma stream in a magnetic field

1971 ◽  
Vol 6 (1) ◽  
pp. 169-186
Author(s):  
A. Lamont ◽  
J. C. Taylor ◽  
E. W. Laing
Keyword(s):  
Magnetic Field ◽  
Differential Equation ◽  
Uniform Magnetic Field ◽  
Transverse Direction ◽  
Equilibrium Distribution ◽  
Larmor Radius ◽  
Equilibrium Distribution Function ◽  
Plasma Stream ◽  
Vlasov Equations ◽  
The Fourier Transform

The system studied is a plasma streaming parallel to a uniform magnetic field with a velocity which varies in a transverse direction. The flow is bounded at y =± a by perfectly conducting planes.The Poisson-Vlasov equations are used to derive an integro-differential equation for ø the Fourier transform of the electrostatic potential. The kernel of this equation is expanded using a small Larmor radius expansion for ø and for the equilibrium distribution function f0.

Sign in / Sign up

Export Citation Format

Share Document