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

Author(s)

Wong, Cheuk-Yin ^[1] ; Sen, Abhisek ^[2] ; Gerhard, Jochen ^[3] ; Torrieri, Giorgio ^[4] ; Read, Kenneth ^{[2, 1]}

Affiliation

^[1] Oak Ridge Natl Lab, Div Phys, Oak Ridge, TN 37831 - USA

^[2] Univ Tennessee, Dept Phys & Astron, Knoxville, TN 37996 - USA

^[3] Frankfurt Inst Adv Studies, D-60438 Frankfurt - Germany

^[4] Univ Estadual Campinas, IFGW, BR-13083859 Sao Paulo - Brazil

• Document type: Journal article
• Source: Physical Review C; v. 90, n. 6 DEC 17 2014.
• Web of Science Citations: 7

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. (AU)

• FAPESP's process: 14/13120-7 - Scaling of azimuthal correlations in hadronic collisions across system sizes, energies and rapidities: theory and phenomenology
• Grantee: Donato Giorgio Torrieri
• Support Opportunities: Regular Research Grants