Holographic heavy-ion collisions: Analytic solutions with longitudinal flow, elliptic flow and vorticity

Abstract

We consider phenomenological consequences arising from simple analytic solutions for holographic heavy-ion collisions. For these solutions, early-time longitudinal flow is initially negative (inward), sizable direct, elliptic, and quadrangular flow is generated, and the average vorticity of the system is tunable by a single parameter. Despite large vorticity and angular momentum, we show that the system does not complete a single rotation.

Generalization of Bantilan-Ishi-Romatschke flow to magnetohydrodynamics

“…This solution is obtained from an assumed duality between a particular solution to Einstein equations in five-dimensional spacetime, namely the Kerr-AdS5 solution, with the solution to the equations of fluid mechanics on the four-dimensional boundary. As it is shown in [36], the line element of Kerr-AdS5 has the following leading behavior at r → ∞ ds 2 5 L 2 −(1 + r 2 )dt 2 + dr 2 1 + r 2 + r 2 dθ 2 + sin 2 θ dφ 2 + cos 2 θ dχ 2 + O(1/r 2 ). 3…”

“…We then assume the common units in heavy ion physics to fix values of the aforementioned parameters. The physical quantities that we use are [28,32] If the freezeout hypersurface is at τ = τ f the entropy per unit rapidity at mid-rapidity reads [32,36] dS dη η=0 = 2πτ f (2.43)…”

“…Of course, there are many choices possible for the aforementioned functions. One appropriate choice could be We adopt ω 1 = 0.5 and ω 2 = 0.05 from [36] and choose λ = ω 1 ω 2 . The value of Q 1 must be chosen in a way such that Σ 0 LT 0 is satisfied.…”

“…Once again we emphasize that we use γ as a shorthand notation for the Lorentz factor in the S 3 × R spacetime transformed like a scalar. The explicit form of the above formula is presented in [36]. The components of four-velocity are given by…”

Evolution of magnetic fields from the 3 + 1 dimensional self-similar and Gubser flows in ideal relativistic magnetohydrodynamics

“…Another important extension is related to the assumed rotational invariance around the beamline, which turns out to be a poor approximation if the collision is not near-central. Interestingly, a novel analytical solution for off-central HICs is recently introduced in [33], that calls for a generalization to ideal and noideal MHD, using the symmetry arguments presented in this paper.…”