v4from ideal and viscous hydrodynamic simulations of nuclear collisions at the BNL Relativistic Heavy Ion Collider (RHIC) and the CERN Large Hadron Collider (LHC)

2010/04/30 by Matthew Luzum, Clément Gombeaud, Jean-Yves Ollitrault · 2 citations
Physics and Astronomy · #High-Energy Particle Collisions Research #Particle physics theoretical and experimental studies #Quantum Chromodynamics and Particle Interactions #hep-ph #nucl-ex #nucl-th

paper · pdf · doi:10.1103/physrevc.81.054910

published as Phys.Rev.C81:054910,2010 · 6 pages, 8 figures; v2: published version -- changed title, increased figure font size, and other minor changes

openalex publication_date 2010/05/28 · arxiv created 2010/05/31 · arxiv updated 2010/06/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28

Abstract

We compute v₄/(v₂)² in ideal and viscous hydrodynamics. We investigate its sensitivity to details of the hydrodynamic model and compare the results to experimental data from the BNL Relativistic Heavy Ion Collider (RHIC). Whereas v₂ has a significant sensitivity only to initial eccentricity and viscosity while being insensitive to freeze-out temperature, we find that v₄/(v₂)² is quite insensitive to initial eccentricity. On the other hand, it can still be sensitive to shear viscosity in addition to freeze-out temperature, although viscous effects do not universally increase v₄/(v₂)² as originally predicted. Consistent with data, we find no dependence on particle species. We also make a prediction for v₄/(v₂)² in heavy ion collisions at the CERN Large Hadron Collider (LHC).

Citations

• v4:A small, but sensitive observable for heavy ion collisions
• Anisotropic Flow in Cu+Cu and Au+Au collisions at PHENIX

Cited by

• The enhancement of v4 in nuclear collisions at the highest densities signals a first-order phase transition
• Dependence on beam energy and nuclear equation of state of anisotropic flow and particle production in low-energy heavy-ion collisions