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An analytic model of radiative collapse of a Z-pinch
| Content Provider | Scilit |
|---|---|
| Author | Haines, M. G. |
| Copyright Year | 1989 |
| Description | Journal: Plasma Physics and Controlled Fusion There is a critical current $I_{PB}$ of about 1 MA (the Pease-Braginskii current) at which Ohmic heating and Bremsstrahlung losses balance in a Z-pinch under pressure equilibrium. An analytic zero dimensional model shows the process of radiative collapse when the prescribed current exceeds the critical current. In particular for a linearly rising current radiative collapse is complete when the current is square root 3 $I_{PB}$. However in practice the voltage limitation imposed by an external circuit prevents such a total collapse, and by including this in the model a maximum density ( approximately $10^{30}-10^{32}$ $m^{-3}$) can occur followed by an expansion and damped oscillation about an equilibrium at which the current equals the Pease-Braginskii current. In the absence of alpha-particle pressure the maximum density is limited by the resistance of the narrow column, the large voltage across which ( approximately $10^{8}$ V) is balanced essentially by a large negative LI; it occurs when the current is $I_{PB}$ (( delta -1)/( delta $-2))^{1/2}$ where delta =7/3+4/3 ln $(R_{w}$/a), where a is the pinch radius and $R_{w}$ is the radius of the current return. The minimum current following maximum density is shown to be greater than $I_{PB}$/ square root 2. Degeneracy effects can be included in the model. |
| Related Links | http://iopscience.iop.org/article/10.1088/0741-3335/31/5/005/pdf |
| Ending Page | 778 |
| Page Count | 20 |
| Starting Page | 759 |
| ISSN | 07413335 |
| e-ISSN | 13616587 |
| DOI | 10.1088/0741-3335/31/5/005 |
| Journal | Plasma Physics and Controlled Fusion |
| Issue Number | 5 |
| Volume Number | 31 |
| Language | English |
| Publisher | IOP Publishing |
| Publisher Date | 1989-05-01 |
| Access Restriction | Open |
| Subject Keyword | Journal: Plasma Physics and Controlled Fusion Applied Physics Analytic Model Radiative Collapse Z Pinch Braginskii Current Critical Current Pease Braginskii |
| Content Type | Text |
| Resource Type | Article |
| Subject | Condensed Matter Physics Nuclear Energy and Engineering |
