X-Pinch

Summary description:

This research focuses on the creation and dynamic evolution of plasma in low-current X-Pinch devices. We develop an integrated methodology combining advanced experimental optical diagnostics (three-frame shadowgraphy, interferometry) and multiphysics MHD computational simulations (GORGON, PLUTO) to study plasma evolution, plasma jet formation, hot spot generation, and X-ray production for high-resolution radiography applications.

Keywords: X-pinch plasmas, magnetohydrodynamic simulations, plasma jets, X-ray radiography, optical probing diagnostics, plasma instabilities

Detailed overview

The study of X-Pinch plasmas is a fundamental research topic with significant applications in high-resolution radiography of biological samples, dense plasma imaging, and laboratory astrophysics. Our research group develops and applies an integrated methodology combining high-precision experiments and advanced MHD computational models to study the dynamic evolution of plasma from initial expansion to jet formation and X-ray production.

Experimental Approach

We employ a low-current (45 kA, 50 ns rise time) X-Pinch device to heat thin tungsten (W) or gold-plated tungsten (Au-plated W) wires of 5 μm diameter. We developed multi-channel optical probing diagnostics for simultaneous recording of plasma temporal evolution:

  • Three-frame Shadowgraphy: Qualitative and quantitative evaluation of plasma instabilities and jet formation.

  • Three-frame Mach-Zehnder Interferometry: Measurement of areal electron plasma density.

  • Point-projection Radiography: Imaging of internal structures of samples with ~40 μm resolution.

  • Filtered PIN Diodes (Al and Cu filters): Time-resolved soft X-ray emission measurements.

 

Computational Approach

To understand and predict plasma behavior, we develop advanced MHD computational models:

  • PLUTO (Modular MHD Code): Simulation with single-fluid approximation, including:

    • SESAME equations of state for tungsten and air

    • Radiation transport and optically thin losses

    • Electrical resistivity models (linear mixture, Spitzer/10)

    • Multi-material mixing for plasma-vacuum interface

  • GORGON (Eulerian MHD Code): Simulation of plasma dynamic evolution with separate treatment of ions and electrons, considering:

    • Conservation laws of mass, momentum, and energy

    • Induction equation with displacement current for magnetic field calculation

    • Spitzer resistivity and Joule heating

    • Optically thin plasma radiation losses

 

Applications and Key Findings

Plasma Jet Formation: Simulations revealed that jet formation results from combined action of plasma expansion from the cross-point region and continuous plasma ablation from the X legs. Jet velocity reaches 39 km/s (Mach 4), with the “zippering” mechanism playing a crucial role.

Biological Sample Radiography: The portable X-Pinch device was used for radiography of olive samples, revealing extensive damage from Bactrocera oleae insect with ~40 μm resolution.

Influence of Physical Parameters: Study of electrical resistivity, radiation transport, and optically thin losses showed that radiation transport reduces instability growth rate, while optically thin losses lead to intense Magneto-Rayleigh-Taylor (MRT) instability development with double magnetic field values.

 

Examples

Comparison between simulated and experimental results of the areal mass density evolution for front and side views in an X-pinch setup.

Biological Sample Radiography. Point-projection radiography application for detection of damage in olive samples.

Temporal Evolution of X-Pinch Plasma. Comparative results of GORGON and PLUTO simulations for plasma density distribution on a slice through the plane of the wires.

Magnetic Field and Temperature Distribution. Comparison of GORGON and PLUTO results for magnetic field, current density, and temperature.

Selected Publications
Skoulakis, A., Koundourakis, G., Ciardi, A., Kaselouris, E., Fitilis, I., Chatzakis, J., Bakarezos, M., Vlahakis, N., Papadogiannis, N.A., Tatarakis, M., Dimitriou, V. (2022). High performance simulations of a single X-pinch. Plasma Physics and Controlled Fusion, 64, 025003. https://doi.org/10.1088/1361-6587/ac3deb
 
Skoulakis, A., Kaselouris, E., Kavroulakis, A., Karvounis, C., Fitilis, I., Chatzakis, J., Dimitriou, V., Papadogiannis, N.A., Tatarakis, M. (2021). Characterization of an X-ray Source Generated by a Portable Low-Current X-Pinch. Applied Sciences, 11, 11173. https://doi.org/10.3390/app112311173
 
Koundourakis, G., Skoulakis, A., Kaselouris, E., Fitilis, I., Clark, E.L., Chatzakis, J., Bakarezos, M., Vlahakis, N., Papadogiannis, N.A., Dimitriou, V., Tatarakis, M. (2020). A numerical study on laboratory plasma dynamics validated by low current x-pinch experiments. Plasma Physics and Controlled Fusion, 62, 125012. https://doi.org/10.1088/1361-6587/abbdebf
 
Koundourakis, G., Skoulakis, A., Kaselouris, E., Fitilis, I., Bakarezos, M., Clark, E.L., Chatzakis, J., Vlahakis, N., Papadogiannis, N.A., Dimitriou, V., Tatarakis, M. (2018). Computational study of plasma dynamic evolution produced by low current table-top pinch plasma devices. 35th European Conference on Laser Interaction with Matter (ECLIM2018), Poster 22.