How (non-) linear is the hydrodynamics of heavy ion collisions?

Abstract

We provide evidence from full numerical solutions that the hydrodynamical evolution of initial density fluctuations in heavy ion collisions can be understood order-by-order in a perturbative series in deviations from a smooth and azimuthally symmetric background solution. To leading linear order, modes with different azimuthal wave numbers do not mix. Quadratic and higher order corrections are small and can be understood as overtones with corresponding wave numbers.

8 pages, 4 figures

References in corpus (5)

• Triangularity and Dipole Asymmetry in Heavy Ion Collisions
• Event-by-event hydrodynamics and elliptic flow from fluctuating initial state
• Momentum spectra, anisotropic flow, and ideal fluids
• Plane correlations and hydrodynamic simulations of heavy ion collisions
• Kinetic freeze-out, particle spectra and harmonic flow coefficients from mode-by-mode hydrodynamics

Cited by in corpus (19)

• $v_4$, $v_5$, $v_6$, $v_7$: nonlinear hydrodynamic response versus LHC data
• Plane correlations and hydrodynamic simulations of heavy ion collisions
• Fluid Dynamics and Viscosity in Strongly Correlated Fluids
• Systematic studies of correlations between different order flow harmonics in Pb-Pb collisions at $\sqrt{s_{\mathrm{NN}}}$ = 2.76 TeV
• Stochastic hydrodynamics and long time tails of an expanding conformal charged fluid
• Collectivity from interference
• Hydrodynamization in systems with detailed transverse profiles
• Fluid dynamic propagation of initial baryon number perturbations on a Bjorken flow background
• Fluid dynamics of heavy ion collisions with Mode expansion (FluiduM)
• Principal component analysis of the nonlinear coupling of harmonic modes in heavy-ion collisions
• Statistical analysis of initial state and final state response in heavy-ion collisions
• Nonlinear evolution of density and flow perturbations on a Bjorken background
• Elliptic flow due to radiation in heavy-ion collisions
• Heavy ion collisions and cosmology
• A perturbative approach to the hydrodynamics of heavy ion collisions
• Statistical analysis of the fluctuations of an initial-state model with independently distributed hot spots
• Mode-by-mode hydrodynamics: ideas and concepts
• Mode-by-mode evolution of Pb-Pb collisions at 5.02 TeV in a hybrid model
• Event shape Engineering analysis of D meson in ultrarelativistic heavy ion collisions