1990
DOI: 10.1063/1.345642
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Basic considerations for scaling Z-pinch x-ray emission with atomic number

Abstract: Two energies are identified that define the x-ray emission characteristics of Z-pinch array implosions. One, the kinetic energy per ion, is intensive, and the other, the kinetic energy per centimeter, is extensive. From a series of one-dimensional axisymmetric hydrodynamic calculations, we have calculated the dependence of the x-ray emission from aluminum implosions above 1 keV on these energies. These calculations are carried out for a specially chosen theoretical case where the kinetic energy that is generat… Show more

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Cited by 114 publications
(47 citation statements)
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“…9D antl 9H, the two-level (10) (solid curves) and the 1D WhitneyGiuliani (20) scaling-model (dashed curves) of K-shell yields are in qualitative agreement with those measured. These K-shell models depend only on the kinetic energy delivered to the load, the effective stagnation radius, and participating mass, and ignoire the multi-dimensional dynamics of the implosion and plasma radiation after stagnation.…”
Section: Figure 9 (A)supporting
confidence: 70%
“…9D antl 9H, the two-level (10) (solid curves) and the 1D WhitneyGiuliani (20) scaling-model (dashed curves) of K-shell yields are in qualitative agreement with those measured. These K-shell models depend only on the kinetic energy delivered to the load, the effective stagnation radius, and participating mass, and ignoire the multi-dimensional dynamics of the implosion and plasma radiation after stagnation.…”
Section: Figure 9 (A)supporting
confidence: 70%
“…Thermonuclear neutron yield from a Z-pinch plasma scales with current as J4, like the K-shell x-ray yield in an "inefficient regime" of implosion [33], and for the same reason, see Section II.C below. The peak current of the Z accelerator exceeds the Saturn current by about a factor of 2 to 2.4, so the thermal neutron yield scaled up to Z conditions from the results of [32] is (4 to 8) x 1013 .…”
Section: B Thermonuclear Fusion Conditions Produced In Fast Z-pinch mentioning
confidence: 99%
“…It is also possible that this continued compressional and joule heating does not in fact occur because current, rather than continuing to flow through the gas, is shorted in a region where the anode-cathode gap is narrow and does not contain a significant amount of radiating plasma. This speculation remains to be tested, but it is consistent with a computational approach used by Whitney, et al 13 whereby the current driving the collapsing plasma is ignored following the development of a prescribed radial kinetic energy. Taking into account only the energy in the sharply rising part of the pulse, the energy radiated beyond 1 kV is about 20 kJ in about 200 ns, compared with measured values of 3 to 20 kJ and about 100 ns.…”
Section: 331mentioning
confidence: 72%