Analytical solutions of Landau (1+1)-dimensional hydrodynamics

Cheuk-Yin Wong, Abhisek Sen, Jochen Gerhard, Giorgio Torrieri, and Kenneth Read
Phys. Rev. C 90, 064907 – Published 17 December 2014

Abstract

To help guide our intuition, summarize important features, and point out essential elements, we review the analytical solutions of Landau (1+1)-dimensional hydrodynamics and discuss the full evolution of the dynamics from the very beginning. Special emphasis is placed on the matching and the interplay between the Khalatnikov solution and the Riemann simple wave solution, at the earliest times and in the edge regions at later times. These analytical solutions collected and developed here serve well as a useful guide and cross-check in the development of complicated numerically intensive relativistic hydrodynamical Monte Carlo simulations.

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  • Received 13 August 2014
  • Revised 2 November 2014

DOI:https://doi.org/10.1103/PhysRevC.90.064907

©2014 American Physical Society

Authors & Affiliations

Cheuk-Yin Wong1, Abhisek Sen2, Jochen Gerhard3, Giorgio Torrieri4, and Kenneth Read1,2

  • 1Physics Division, Oak Ridge National Laboratory, Oak Ridge, Tennessee 37831, USA
  • 2Department of Physics and Astronomy, University of Tennessee, Knoxville, Tennessee 37996, USA
  • 3Frankfurt Institute for Advanced Studies (FIAS), Frankfurt am Main 60438, Germany
  • 4IFGW, Universidade Estadual de Campinas, Campinas, São Paulo 13083-859, Brazil

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Issue

Vol. 90, Iss. 6 — December 2014

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