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Abstract
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By investigating the dielectric response of the Fermi–Dirac plasma in the
linear limit and evaluating the electrostatic potential around the positive stationary
test charge, we find that the Shukla–Eliasson attractive force is present for the
plasma density range expected in the interiors of large planets for a wide range of
plasma atomic number. This research, which is based on the generalized electron
Fermi-momentum, further confirms the existence of the newly discovered LennardJones-like attractive potential and its inevitable role in plasma crystallization in the
cores of planets. Moreover, it is observed that the characteristics of the attractive
potential are strongly sensitive to the variation of plasma density and composition.
Current research can also have applications in the study of strong laser-matter
interactions and inertially confined plasmas.
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