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Published on: December 11, 2013
Plasma formation in metallic wire Z pinches
Chittenden1, Lebedev, Ruiz-Camacho
1Blackett Laboratory, Imperial College, London SW7 2BZ, United Kingdom.
Summary
This study models plasma formation in metallic wire Z pinches, revealing a two-component structure. Increasing wire numbers in arrays reduces instabilities, leading to higher x-ray power by suppressing perturbations.
Area of Science:
- Plasma Physics
- Magnetohydrodynamics
- Computational Physics
Background:
- Metallic wire Z pinches are crucial for generating high-energy-density plasmas.
- Understanding plasma formation and stability is key to applications like inertial confinement fusion.
Purpose of the Study:
- To model plasma formation in metallic wire Z pinches using a 2D resistive magnetohydrodynamics code.
- To investigate the effect of wire number on plasma structure and stability in wire arrays.
- To correlate plasma structure with experimental observations of X-ray power.
Main Methods:
- Utilized a two-dimensional resistive magnetohydrodynamics code.
- Employed modified Thomas-Fermi equations of state and dense plasma transport coefficients.
- Benchmarked code against single-wire experiments, generating artificial laser schlieren and X-ray back-lighting images.
Main Results:
- Identified a persistent two-component plasma structure: a cold, dense core within a hot, low-density corona.
- Simulations showed that increasing wire numbers in arrays leads to merged wires and reduced m=0 perturbation amplitudes.
- A sharp transition to high X-ray power in aluminum wire arrays at ~40 wires correlated with a significant decrease in m=0 perturbation amplitude.
Conclusions:
- The 2D MHD model captures key aspects of plasma formation and structure in Z pinches.
- The number of wires in an array significantly influences plasma stability and X-ray output.
- Reduced perturbations, particularly m=0, are critical for achieving high X-ray power in wire array Z pinches, mitigating the Rayleigh-Taylor instability.
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San Francisco's Golden Gate Bridge is exposed to temperatures ranging from -15 °C to 40 °C. At its coldest, the main span of the bridge is 1275 m long. Assuming that the bridge is made entirely of steel, what is the change in its length between these temperatures?
To solve the problem, first, identify the known and unknown quantities. The initial length (L) of the bridge is 1275 m, the coefficient of linear expansion (α) for steel is 12 x 10-6/°C, and the change in temperature (ΔT) is 55 °C.
To solve the problem, first, identify the known and unknown quantities. The initial length (L) of the bridge is 1275 m, the coefficient of linear expansion (α) for steel is 12 x 10-6/°C, and the change in temperature (ΔT) is 55 °C.

