scholarly journals Thermal relaxation of a two-dimensional plasma in a dc magnetic field. Part I. Theory

1974 ◽  
Author(s):  
J.Y. Hsu ◽  
D. Montgomery ◽  
G. Joyce
Keyword(s):  
Magnetic Field ◽  
Thermal Relaxation ◽  
Two Dimensional ◽  
Dc Magnetic Field

scholarly journals Induction Heating of Aluminum Billets With Linear Motion in a Strong DC Magnetic Field: Magnetothermal Analysis in Two-Dimensional

2011 ◽  
Vol 21 (4) ◽  
pp. 3479-3487 ◽  
Author(s):  
Hakim Bensaidane ◽  
Youcef Ouazir ◽  
Thierry Lubin ◽  
Smail Mezani ◽  
Abderrezak Rezzoug
Keyword(s):  
Magnetic Field ◽  
Induction Heating ◽  
Linear Motion ◽  
Two Dimensional ◽  
Dc Magnetic Field

Thermal relaxation of a two-dimensional plasma in a d.c. magnetic field. Part 1. Theory

1974 ◽  
Vol 12 (1) ◽  
pp. 21-26 ◽  
Author(s):  
Jang-Yu Hsu ◽  
David Montgomery ◽  
Glenn Joyce
Keyword(s):  
Magnetic Field ◽  
Kinetic Equation ◽  
Plasma Frequency ◽  
Thermal Relaxation ◽  
Collision Term ◽  
Dimensionless Time ◽  
Two Dimensional ◽  
Kinetic Description ◽  
Off Time ◽  
Number Of Particles

A theory is presented for the rate of thermal relaxation of a two-dimensional plasma in a strong uniform d.c. magnetic field. The Vahala—Montgomery kinetic description is completed by providing a cut-off time for the time of interaction of two particles which contribute to the collision term. The kinetic equation preclicts that thermal relaxation occurs as a function of the dimensionless time (ωpt) (ωp/Ω) (n0λ2D)−½, where ωp, is the plasma frequency, Ω is the gyrofrequency, and n0 λ2D is the number of particles per Debye square. By contrast, in the absence of an external magnetic field, a two-dimensional plasma relaxes as a function of (ωpt) (n0λ2D)−1.

scholarly journals Thermal relaxation of a two-dimensional plasma in a d.c. magnetic field. Part 2. Numerical simulation

1974 ◽  
Vol 12 (1) ◽  
pp. 27-31 ◽  
Author(s):  
Jang-Yu Hsu ◽  
Glenn Joyce ◽  
David Montgomery
Keyword(s):  
Magnetic Field ◽  
Relaxation Time ◽  
Linear Dimension ◽  
Plasma Frequency ◽  
Relaxation Times ◽  
Thermal Relaxation ◽  
Two Dimensional ◽  
Thermal Relaxation Times ◽  
Two Parameters ◽  
Number Of Particles

The thermal relaxation process for a spatially uniform two-dimensional plasma in a uniform d.c. magnetic field is simulated numerically. Thermal relaxation times are defined in terms of the time necessary for the numerically computed Boltzmann H function to decrease through a given part of the distance to its minimum value. Dependence of relaxation time on two parameters is studied: number of particles per Debye square n0 λ2D and ratio of gyrofrequency to plasma frequency Ω/ωp. When Ω2/ω2p becomes ≫[ln (L/2πλD)]−½, where L is the linear dimension of the system, it is found that the relaxation time varies to a good approximation as (n0 λ2D)½ and Ω/ωp.

Sign in / Sign up

Export Citation Format

Share Document