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Universal Diffusion in Coulomb Crystals.

M E Caplan1, D Yaacoub1

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Diffusion in crystallized Coulomb plasmas is key for modeling stars. This study reveals diffusion is independent of screening and dominated by vacancy formation, even under high pressure.

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Area of Science:

  • Plasma physics
  • Astrophysical modeling
  • Condensed matter physics

Background:

  • Diffusion coefficients in crystallized Coulomb plasmas are crucial for astrophysical simulations.
  • Understanding these coefficients is vital for accurate modeling of white dwarf cores and neutron star crusts.
  • Current models lack comprehensive understanding of diffusion mechanisms in these extreme environments.

Purpose of the Study:

  • To develop a new model for diffusion processes in Coulomb crystals.
  • To investigate the relationship between melting and diffusion scaling.
  • To determine the influence of pressure on vacancy formation and diffusion.

Main Methods:

  • Development of a theoretical model for diffusion in Coulomb crystals.
  • Computational simulations to analyze diffusion behavior.
  • Analysis of scaling laws for melting and diffusion.

Main Results:

  • Diffusion and melting exhibit the same universal scaling, independent of screening.
  • Contrary to expectations, high pressure does not suppress vacancy formation.
  • Vacancy formation and subsequent hole diffusion are identified as the primary self-diffusion mechanisms.

Conclusions:

  • The new model provides essential microphysics input for astrophysical simulations.
  • The findings challenge existing assumptions about diffusion in dense plasmas.
  • This work clarifies dominant self-diffusion pathways in Coulomb crystals under pressure.