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Comprehensive analytical model of the dynamic Z pinch
Alejandro Mesa Dame1,2, Eric S Lavine1, David A Hammer1
1Cornell University, Laboratory of Plasma Studies, Ithaca, New York 14850, USA.
Physical Review. E
|June 19, 2026
Summary
A new analytical model accurately simulates dynamic Z-pinch implosions, predicting key plasma parameters and shock front behavior. This tool aids in designing and analyzing pulsed-power experiments for fusion energy research.
Area of Science:
- Plasma Physics
- Magnetohydrodynamics (MHD)
- Pulsed Power Science
Background:
- Dynamic Z-pinches are crucial for inertial confinement fusion research.
- Accurate modeling of Z-pinch implosions is essential for experimental design and analysis.
- Existing models may lack the predictive capability for complex scenarios.
Purpose of the Study:
- To develop an analytical 1D axisymmetric model for dynamic Z-pinch evolution.
- To predict the behavior of the magnetic piston, shock front, and plasma parameters.
- To validate the model against experimental data.
Main Methods:
- Formulated a 1D axisymmetric analytical model based on ideal MHD equations.
- Described the implosion process in stages using coupled ordinary differential equations.
- Incorporated time-dependent current, variable initial density, and weak axial fields.
Main Results:
- The model successfully predicts trajectories of the magnetic piston and shock front.
- It provides profiles for velocity, pressure, density, and magnetic field.
- Comparisons with COBRA facility experimental data show promising agreement.
Conclusions:
- The developed analytical model offers a valuable tool for Z-pinch research.
- It can aid in the design and analysis of future pulsed-power experiments.
- The model's predictive accuracy supports its utility in fusion energy studies.
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