Abstract
The dynamics of axially symmetric magnetized Z-pinches is studied.
Radiation is neglected, while ohmic-heating and thermal-conductivity of
the plasma are taken into account. The self-similar problem is treated
analytically by asymptotic expansions in the limit of high but finite
thermal conductivity. An asymptotic solution is obtained with the aid of
the principle of minimum singularity. Explicit expressions for radial
profiles characterizing Z-pinches carrying power law in time total
currents (I=I_0t^S ) are found that depend on the line density, the
total current amplitude I_0, and exponent S. A non-equilibrium solution
is obtained for S=-1/5 in addition to the conventional self-similar
solutions for either exact (for S=± 1/3, Coppins M., Culverwell
I.D. and Haines M.G., Phys. Fluids, 31(9), 2688, 1988) or long-time
asymptotic equilibrium of Z-pinches (Bud'ko A.B., Kravchenko Yu., Uby
L., Plasma Phys. Control. Fusion, 36, 833, 1994) . It is shown that the
latter is possible only for S>-1/5. The multiplicity of the
self-similar solutions is analyzed.
| Original language | English GB |
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| State | Published - 1 Oct 2003 |
| Externally published | Yes |
| Event | American Physical Society, 45th Annual Meeting of the Division of Plasma Physics - Albuquerque, New Mexico, Mexico Duration: 27 Oct 2003 → 31 Oct 2003 |
Conference
| Conference | American Physical Society, 45th Annual Meeting of the Division of Plasma Physics |
|---|---|
| Country/Territory | Mexico |
| City | Albuquerque, New Mexico |
| Period | 27/10/03 → 31/10/03 |