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Related Experiment Videos

Kelvin-Helmholtz instability for relativistic fluids.

G Bodo1, A Mignone, R Rosner

  • 1INAF Osservatorio Astronomico di Torino, Strada Osservatorio 20, I-10025 Pino Torinese, Italy.

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
|November 5, 2004
PubMed
Summary

We analyzed the stability of relativistic fluid interfaces. Analytic solutions were found for the dispersion relation, showing the critical Mach number is unchanged from the nonrelativistic case.

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Area of Science:

  • Relativistic fluid dynamics
  • Plasma physics
  • Interface stability

Background:

  • The stability of interfaces between fluids is crucial in astrophysical and laboratory plasmas.
  • Relativistic effects become significant at high velocities, necessitating specialized analyses.
  • Previous studies primarily focused on nonrelativistic fluid interactions.

Purpose of the Study:

  • To reexamine the stability of interfaces separating two nonmagnetized relativistic fluids in relative motion.
  • To derive analytic solutions for the dispersion relation governing interface stability.
  • To investigate the impact of compressibility on the critical Mach number in relativistic scenarios.

Main Methods:

  • Analysis of fluid dynamics in a relativistic context.

Related Experiment Videos

  • Derivation of analytic solutions for the dispersion relation.
  • Redefinition of the Mach number to incorporate relativistic effects.

    • Main Results:

    • Analytic solutions to the dispersion relation were found in an appropriate reference frame.
    • The critical Mach number for interface stability remains unchanged from the nonrelativistic case.
    • A redefined Mach number formula was established for relativistic fluids.

    Conclusions:

    • The stability analysis provides a robust framework for understanding relativistic fluid interfaces.
    • The invariance of the critical Mach number simplifies comparisons between relativistic and nonrelativistic regimes.
    • The findings have implications for modeling phenomena involving high-speed plasmas.