The magnetic flux problem and ambipolar diffusion during star formation - One-dimensional collapse. I - Formulation of the problem and method of solution

1983 ◽  
Vol 275 ◽  
pp. 838 ◽  
Author(s):  
E. V. Paleologou ◽  
T. Ch. Mouschovias
Keyword(s):  
Star Formation ◽  
Magnetic Flux ◽  
Ambipolar Diffusion ◽  
One Dimensional ◽  
Method Of Solution

Untersuchung des Druckaufbaus einer stationären, magnetfeldstabilisierten Helium-Entladung mit Hilfe magnetischer Messungen

1967 ◽  
Vol 22 (10) ◽  
pp. 1599-1612 ◽  
Author(s):  
Otto Klüber
Keyword(s):  
Magnetic Field ◽  
Magnetic Flux ◽  
Plasma Column ◽  
Ambipolar Diffusion ◽  
Nernst Effect ◽  
Thermomagnetic Effect ◽  
Field Coil ◽  
Neutral Gas ◽  
Ring Currents ◽  
The Magnetic Field

A stationary discharge is produced bya current flowing parallel to the magnetic field ofa cylindrical coil. In the region where the field is homogeneous the pressure in the plasma column is much higher than that in the surrounding neutral gas. This is mainly caused by diamagnetic ring currents, as is shown by measuring the magnetic flux due to these currents. Two effects are primarily responsible for the ring currents in this region: The already known effect of the ambipolar diffusion across the magnetic field anda thermomagnetic effect, called NERNST effect, whose influence on the pressure build-up ofa plasma has not been investigated hitherto. Other phenomena causing ring currents occur in the plasma near the coil ends and outside the field coil.

Magnetic Flux Transport in the ISM through Turbulent Ambipolar Diffusion

2004 ◽  
pp. 45-51
Author(s):  
Fabian Heitsch ◽  
Ellen G. Zweibel ◽  
Adrianne D. Slyz ◽  
Julien E. G. Devriendt
Keyword(s):  
Magnetic Flux ◽  
Ambipolar Diffusion ◽  
Flux Transport

Calculation of linear detonation instability: one-dimensional instability of plane detonation

1990 ◽  
Vol 216 ◽  
pp. 103-132 ◽  
Author(s):  
H. I. Lee ◽  
D. S. Stewart
Keyword(s):  
Acoustic Radiation ◽  
Radiation Condition ◽  
Linear Instability ◽  
Arbitrary Parameter ◽  
Neutral Stability ◽  
One Dimensional ◽  
Method Of Solution ◽  
The Laplace Transform ◽  
Detonation Instability ◽  
The One

The detonation stability problem is studied by a normal mode approach which greatly simplifies the calculation of linear instability of detonation in contrast to the Laplace transform procedure used by Erpenbeck. The method of solution, for an arbitrary parameter set, is a shooting method which can be automated to generate easily the required information about instability. The condition on the perturbations applied at the end of the reaction zone is shown to be interpreted as either a boundedness condition or an acoustic radiation condition. Continuous and numerically exact neutral stability curves and boundaries are given as well as growth rates and eigenfunctions which are calculated for the first time. Our calculations include the Chapman–Jouguet (CJ) case which presents no special difficulty. We give representative results for our detonation model and summarize the one-dimensional stability behaviour in parameter space. Comparison with previous results for the neutral stability boundaries and approximations to the unstable discrete spectrum are given. Parametric studies of the unstable, discrete spectrum's dependence on the activation energy and the overdrive factor are given with the implications for interpreting the physical mechanism of instability observed in experiments. This first paper is restricted to the case of one-dimensional linear instability. Extensions to transverse disturbances will be treated in a sequel.

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