MHD simulation of a beat frequency heated plasma

1976 ◽  
Vol 54 (21) ◽  
pp. 2140-2146 ◽  
Author(s):  
R. D. Milroy ◽  
C. E. Capjack ◽  
C. R. James ◽  
J. N. McMullin
Keyword(s):  
Exact Solution ◽  
Heating Rate ◽  
Plasma Density ◽  
Beat Frequency ◽  
Computer Code ◽  
Mhd Equations ◽  
Mhd Simulation ◽  
One Dimensional ◽  
Heating Scheme ◽  
Frequency Harmonic

The heating of a plasma in a solenoid, with a beat frequency harmonic which is excited at a frequency near to that of a Langmuir mode in a plasma, is examined. It is shown that at high temperatures the heating rate is very insensitive to changes in plasma density. The amount of energy that can be coupled to a plasma in a solenoid with this heating scheme is investigated by using a one-dimensional computer code which incorporates an exact solution of the relevant MHD equations. The absorption of energy from a high powered laser is shown to be significantly enhanced with this process.

Heating Rates for a Beat Frequency Laser Heated Plasma

1975 ◽  
Vol 53 (23) ◽  
pp. 2606-2610 ◽  
Author(s):  
C. E. Capjack ◽  
C. R. James
Keyword(s):  
Heating Rate ◽  
Plasma Density ◽  
Beat Frequency ◽  
Laser Beams ◽  
Magnetized Plasmas ◽  
Heating Rates ◽  
Mixing Angle ◽  
Frequency Laser ◽  
Laser Heated ◽  
Frequency Harmonic

The heating of magnetized plasmas through the utilization of a beat frequency harmonic which is excited at a frequency near to that of a Langmuir mode in the plasma is examined. Heating rates are obtained for plasmas with temperatures in the range 1 eV to 10 000 eV. In addition, the effects of the plasma density and the mixing angle of the laser beams on the heating rate will be examined.

scholarly journals On a Generalization of One-Dimensional Kinetics

Mathematics ◽  
2021 ◽  
Vol 9 (11) ◽  
pp. 1264
Author(s):  
Vladimir V. Uchaikin ◽  
Renat T. Sibatov ◽  
Dmitry N. Bezbatko
Keyword(s):  
Exact Solution ◽  
Asymptotic Behavior ◽  
Constant Velocity ◽  
Telegraph Equation ◽  
Material Derivative ◽  
Symmetric Random Walk ◽  
One Dimensional ◽  
Special Cases ◽  
Fractional Telegraph Equation ◽  
Asymmetric Case

One-dimensional random walks with a constant velocity between scattering are considered. The exact solution is expressed in terms of multiple convolutions of path-distributions assumed to be different for positive and negative directions of the walk axis. Several special cases are considered when the convolutions are expressed in explicit form. As a particular case, the solution of A. S. Monin for a symmetric random walk with exponential path distribution and its generalization to the asymmetric case are obtained. Solution of fractional telegraph equation with the fractional material derivative is presented. Asymptotic behavior of its solution for an asymmetric case is provided.

On Approximate Large Deviations for 1D Diffusion

2003 ◽  
Vol 10 (2) ◽  
pp. 381-399
Author(s):  
A. Yu. Veretennikov
Keyword(s):  
Differential Equation ◽  
Exact Solution ◽  
Large Deviations ◽  
Stochastic Differential Equation ◽  
Approximation Scheme ◽  
Sufficient Conditions ◽  
Rate Function ◽  
Euler Approximation ◽  
One Dimensional

Abstract We establish sufficient conditions under which the rate function for the Euler approximation scheme for a solution of a one-dimensional stochastic differential equation on the torus is close to that for an exact solution of this equation.

An exact solution for one-dimensional unsteady nonlinear groundwater flow

Meccanica ◽  
1991 ◽  
Vol 26 (2-3) ◽  
pp. 129-133
Author(s):  
Vittorio di Federico
Keyword(s):  
Exact Solution ◽  
Groundwater Flow ◽  
One Dimensional

scholarly journals EXACT SOLUTION OF AN IRREVERSIBLE ONE-DIMENSIONAL MODEL WITH FULLY BIASED SPIN EXCHANGES

1996 ◽  
Vol 10 (25) ◽  
pp. 3451-3459 ◽  
Author(s):  
ANTÓNIO M.R. CADILHE ◽  
VLADIMIR PRIVMAN
Keyword(s):  
Exact Solution ◽  
Domain Wall ◽  
Nearest Neighbor ◽  
Spin Exchange ◽  
Initial Conditions ◽  
Strong Dependence ◽  
Zero Temperature ◽  
Dimensional Model ◽  
One Dimensional ◽  
Temperature Dynamics

We introduce a model with conserved dynamics, where nearest neighbor pairs of spins ↑↓ (↓↑) can exchange to assume the configuration ↓↑ (↑↓), with rate β(α), through energy decreasing moves only. We report exact solution for the case when one of the rates, α or β, is zero. The irreversibility of such zero-temperature dynamics results in strong dependence on the initial conditions. Domain wall arguments suggest that for more general, finite-temperature models with steady states the dynamical critical exponent for the anisotropic spin exchange is different from the isotropic value.

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