Entropy flow of a perfect fluid in (1+1) hydrodynamics

Abstract

Using the formalism of the Khalatnikov potential, we derive exact general formulae for the entropy flow dS/dy, where y is the rapidity, as a function of temperature for the (1+1) relativistic hydrodynamics of a perfect fluid. We study in particular flows dominated by a sufficiently long hydrodynamic evolution, and provide an explicit analytical solution for dS/dy. We discuss the theoretical implications of our general formulae and some phenomenological applications for heavy-ion collisions.

17 pages, 2 figures, to appear in Phys.Rev.C

References in corpus (3)

• Early Time Dynamics in Heavy Ion Collisions from AdS/CFT Correspondence
• Unified description of Bjorken and Landau 1+1 hydrodynamics
• Detailed description of accelerating, simple solutions of relativistic perfect fluid hydrodynamics

Cited by in corpus (2)

• On an exact hydrodynamic solution for the elliptic flow
• Hydrodynamic Flow of the Quark-Gluon Plasma and Gauge/Gravity Correspondence