High-multiplicity pp and pA collisions: Hydrodynamics at its edge

By E. Shuryak, I. Zahed. 2013

136 citations recorded by the source corpus.

With growing multiplicity, the pp and pA collisions enter the domain where the macroscopic description (thermodynamics and hydrodynamics) becomes applicable. We discuss this situation, first with simplified thought experiments, then with some idealized representative cases, and finally address the real data. For clarity, we do not do it numerically but analytically, using the Gubser solution. We found that the radial flow is expected to increase from central AA to central pA, while the elliptic flow decreases, with higher harmonics being comparable. We extensively study the magnitude and distribution of the viscous corrections, in Navier-Stokes and Israel-Stuart approximations, ending with higher gradient resummation proposed by Lublinsky and Shuryak. We found that those corrections grow from AA to pA to pp, but remain tractable even for pp.

Subfields: Applied Mathematics, Computational Mechanics, Nuclear and High Energy Physics

View Paper: https://www.semanticscholar.org/paper/10764e0635ffb207a56fc09e24c1e5e48c9abf8b

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In Applied Mathematics

1. A. Jaiswal
2. V. Roy
3. Alice Collaboration
4. W. Zajc
5. J. Nagle

In Computational Mechanics

1. Alice Collaboration
2. W. Zajc
3. J. Nagle

In Nuclear and High Energy Physics

1. Alice Collaboration
2. J. Nagle
3. W. Zajc
4. A. Jaiswal
5. G. Rinella
6. V. Roy
7. J. Stachel
8. P. Braun-Munzinger

Citations in the corpus

• Relativistic Hydrodynamics in Heavy-Ion Collisions: General Aspects and Recent Developments (2016, background): “[194] for a detailed discussion about the applicability of hydrodynamics in small systems.”
• Small System Collectivity in Relativistic Hadronic and Nuclear Collisions (2018, result): “ue of =s, which when used in hydrodynamics modeling results in good agreement with the data. Similarly, the criterion that ‘ mfp ˘1=T for minimal viscosity systems (127) is echoed in the observation (160,161) that under these conditions a plausible bound on the minimum system size Rfor a hydrodynami”
• Multiplicity dependence of light-flavor hadron production in pp collisions at √s = 7 TeV (2019, background): “This behavior has been interpreted to be a consequence of stronger radial flow gradients in the smaller collision systems [53].”
• Multiplicity dependence of the average transverse momentum in pp, p-Pb, and Pb-Pb collisions at the LHC (2013, background): “The measurements of particle correlations in azimuth and pseudorapidity [5–9] have raised the question whether collective effects in p–Pb collisions, as modeled for example in hydrodynamical approaches [10,11], are the origin of the observed correlations.”