The relativistic Boltzmann kinetic equation is reformulated using the rapidity variable, a Lorentz-invariant quantity with additive properties under boosts. From this, the equilibrium distribution function is obtained and its properties are explored, highlighting its applications and comparing its behavior with the usual Jüttner distribution function.

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Relativistic Equilibrium Distribution of Rapidity: A Kinetic Theory Perspective

  • Guillermo Chacón-Acosta,
  • Ana Laura García-Perciante,
  • Alma R. Méndez

摘要

The relativistic Boltzmann kinetic equation is reformulated using the rapidity variable, a Lorentz-invariant quantity with additive properties under boosts. From this, the equilibrium distribution function is obtained and its properties are explored, highlighting its applications and comparing its behavior with the usual Jüttner distribution function.