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Anomalous behavior of plasma response functions at strong coupling.

Péter Magyar1, Gabor J Kalman2, Péter Hartmann1

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Summary
This summary is machine-generated.

This study reveals anomalous acausal behavior in strongly coupled Coulomb plasmas, linking negative compressibility to a modified viscoelastic pole and roton minimum formation in plasmon dispersion.

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Area of Science:

  • Plasma Physics
  • Condensed Matter Physics
  • Computational Physics

Background:

  • The Coulomb one-component plasma (OCP) is a fundamental model system in statistical physics.
  • Understanding its response functions is crucial for characterizing its behavior across different coupling regimes.
  • Previous studies have explored OCP properties, but the strongly coupled liquid regime (Γ>1) presents unique challenges.

Purpose of the Study:

  • To build a comprehensive catalog of response functions for the Coulomb OCP.
  • To investigate the phenomenon of negative compressibility (Γ>3) and its implications.
  • To analyze the acausal behavior of the proper response and its connection to Kramers-Kronig relations.

Main Methods:

  • Utilizing equilibrium molecular dynamics computer simulations.
  • Analyzing response functions over a wide range of Coulomb coupling (Γ) values.
  • Examining the dielectric response function to determine plasmon dispersion.

Main Results:

  • Identified acausal behavior in the proper response within the negative compressibility domain (Γ>3).
  • Demonstrated that a viscoelastic pole in the density response function shifts to an imaginary pole, causing anomalous behavior.
  • Established a direct link between negative compressibility and the formation of the roton minimum in the plasmon dispersion relation.

Conclusions:

  • The study provides a detailed description of acausal features in strongly coupled OCPs.
  • A more reliable plasmon dispersion relation is obtained by analyzing the dielectric response function.
  • The findings highlight the significant role of negative compressibility in shaping OCP dynamics and suggest potential extensions to other systems.