Speaker
Description
We analyze the effect of hydrodynamic fluctuations on normalized mixed harmonic cumulants ($nMHC$) [1,2] for the first time based on event-by-event simulations of high-energy heavy-ion collisions using an integrated model of an initial state model, stochastic causal fluctuating hydrodynamics, and a hadronic afterburner.
For the quantitative constraints on the transport properties of quark-gluon plasma (QGP) and the initial-state models, it is important to compare various flow correlations from dynamical models to data. Recently, $nMHC$ was shown to be useful in constraining theoretical models [3]. Meanwhile, we have shown that hydrodynamic fluctuations affect the longitudinal factorization ratio $r_n(\eta_a,\eta_b)$ [4] and can reproduce the experimental centrality dependence with initial longitudinal fluctuations [5]. However, it is non-trivial how the hydrodynamic fluctuations affect the constraints on the QGP properties through various flows and correlations.
In this talk, we investigate the effect of hydrodynamic fluctuations on $nMHC$ in $\sqrt{s_\mathrm{NN}}$=2.76 TeV Pb+Pb collisions. We combine the $\mathtt{TRENTo}$ initial conditions and the $\mathtt{UrQMD}$ afterburner used in Refs. [3,6] with relativistic fluctuating hydrodynamics $\mathtt{rfh}$ [6]. We first compare the results with and without hydrodynamic fluctuations and see the effect. We next consider different temperature dependencies of viscosity. We find that the hydrodynamic fluctuations tend to decrease $nMHC$, which is because they de-correlate initial correlations. In particular, $nMHC(v_2^2,v_3^2)$ is sensitive to the hydrodynamic fluctuations but almost insensitive to the viscosity. We also discuss the effect of the rapidity gap. We argue that $nMHC$ is useful for identifying the effect of hydrodynamic fluctuations and is a key to properly constraining the theoretical models.
[1] Zuzana Moravcova, Kristjan Gulbrandsen, You Zhou, Phys. Rev. C 103, 024913 (2021).
[2] S. Acharya et al. (ALICE), Phys. Lett. B 818, 136354 (2021).
[3] M. Li, Y. Zhou, W. Zhao, B. Fu, Y. Mou, and H. Song, Phys. Rev. C 104, 024903 (2021).
[4] Azumi Sakai, Koichi Murase, Tetsufumi Hirano, Phys. Rev. C 102, 064903 (2020).
[5] Azumi Sakai, Koichi Murase, Tetsufumi Hirano, Phys. Lett. B 829, 137053 (2022).
[6] Kazuhisa Okamoto and Chiho Nonaka, Phys. Rev. C 98, no.5, 054906 (2018).
[7] Koichi Murase, Ph. D. thesis (University of Tokyo), (2015).
| Category | Theory |
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