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1976
DOI: 10.1063/1.861627
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Contraction of Z pinches actuated by radiation losses

Abstract: An equilibrium model of the radial motion of Z pinches is developed, based on the Bennett relation, radiation losses, and Ohmic heating. The highly localized x-ray sources observed in some plasma focus experiments can be explained by the model.

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Cited by 91 publications
(34 citation statements)
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“…To take into account all the energy losses and energy deposition processes is a task for a 2D MHD simulation and cannot be attempted here (**).Restricting ourselves to only bremsstrahlung and Joule's heating below 5.107 K we know that, in most cases, the radius a will grow until the Pease-Braginski current Ip~ is reached, after which there follows a radiation collapse [7] described by …”
Section: ( Ns Ll/z Cv~ (Ma) In] Kmentioning
confidence: 97%
“…To take into account all the energy losses and energy deposition processes is a task for a 2D MHD simulation and cannot be attempted here (**).Restricting ourselves to only bremsstrahlung and Joule's heating below 5.107 K we know that, in most cases, the radius a will grow until the Pease-Braginski current Ip~ is reached, after which there follows a radiation collapse [7] described by …”
Section: ( Ns Ll/z Cv~ (Ma) In] Kmentioning
confidence: 97%
“…This is not obvious since the current in heating the filament will lead to a plasma corona surrounding the filament and which can have a radius much larger than the radius of the filament. However, as it has been shown by several authors [3,4], the bremsstrahlungslosses in a high-Z plasma, as it is realized here, can be so large that they cause rapid shrinking of the plasma corona down to the very small dimensions as required.…”
mentioning
confidence: 90%
“…If the implosion is non-isentropic, shock waves will lead to overheating, and for currents below the Pease-Braginskii current resistive overheating sets in. The importance of exceeding the Pease-Braginskii current, which for a hydrogen plasma is ~ 1.7 x 106 [A], was already recognized by Shearer [4].…”
Section: Introductionmentioning
confidence: 97%