AI summary · arXiv: 2203.11549v2 · nucl-th

Multicomponent relativistic dissipative fluid dynamics from the Boltzmann equation

Jan A. Fotakis, Etele Molnár, Harri Niemi, Carsten Greiner, Dirk H. Rischke
Original paper · DOI 10.1103/physrevd.106.036009 Submitted to arXiv on 22 Mar. 2022 34 pages, 0 figures License: CC BY 4.0

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The essentials

  • The authors derive multicomponent relativistic second-order dissipative fluid dynamics from the Boltzmann equations for a reactive mixture of particle species with intrinsic quantum numbers.
  • They use the method of moments to obtain continuity equations for multiple conserved charges, as well as conservation equations for total energy and momentum in the single-fluid approximation.
  • The resulting fluid-dynamical equations are similar to those of a single-component system but have different thermodynamic relations and transport coefficients.
  • General relations for all transport coefficients are derived and computed explicitly in the ultrarelativistic limit.
  • This research contributes to our understanding of multicomponent relativistic dissipative fluid dynamics and provides insights into its thermodynamic relations and transport coefficients.
  • Implications for various fields, including high-energy physics and astrophysics, where such fluid dynamics play a crucial role in describing complex systems like ultrarelativistic nuclear collisions.
  • Acknowledgment of support from various funding sources and gratitude towards individuals who provided fruitful discussions, specifically G.S Denicol and P Huovinen.

Key points written by AI: they may contain errors, check them against the paper.

AI-generated keywords: Relativistic fluid dynamics Boltzmann equations Method of moments Transport coefficients Ultrarelativistic limit

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In this study, the authors derive multicomponent relativistic second-order dissipative fluid dynamics from the Boltzmann equations for a reactive mixture of particle species with intrinsic quantum numbers. They use the method of moments to obtain the continuity equations for multiple conserved charges, as well as the conservation equations for total energy and momentum in the single-fluid approximation. By deriving the second-order equations of motion for dissipative quantities in an appropriate moment approximation, they close these $4+N_q$ conservation laws. The resulting fluid-dynamical equations are formally similar to those of a single-component system but feature different thermodynamic relations and transport coefficients. The authors derive general relations for all transport coefficients and compute them explicitly in the ultrarelativistic limit. This research contributes to our understanding of multicomponent relativistic dissipative fluid dynamics and provides valuable insights into its thermodynamic relations and transport coefficients. These findings have implications for various fields, including high-energy physics and astrophysics, where such fluid dynamics play a crucial role in describing complex systems like ultrarelativistic nuclear collisions. The study also acknowledges support from various funding sources and expresses gratitude to individuals who provided fruitful discussions. Specifically, G.S Denicol and P Huovinen are thanked for their contributions. Overall, this research provides a comprehensive overview of multicomponent relativistic dissipative fluid dynamics which has significant implications on several fields such as high energy physics and astrophysics.

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