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Exact solution of Boltzmann equation in a longitudinal expanding system

Shile Chen* and Shuzhe Shi†

  • Department of Physics, Tsinghua University, Beijing 100084, China

  • *csl2023@tsinghua.edu.cn
  • †shuzhe-shi@tsinghua.edu.cn

Phys. Rev. C 109, L051901 – Published 2 May, 2024

DOI: https://doi.org/10.1103/PhysRevC.109.L051901

Abstract

Analytical solutions to the microscopic Boltzmann equation are useful in testing the applicability and accuracy of macroscopic hydrodynamic theory. In this work, we present exact solutions of the relativistic Boltzmann equation, based on a new family of exact solutions of the relativistic ideal hydrodynamic equations [S. Shi, S. Jeon, and C. Gale, Phys. Rev. C 105, L021902 (2022)]. To the best of our knowledge, this is the first exact solution that allows longitudinal expansion with broken boost invariance.

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