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Cited by 311

The DOI matches its Crossref record; 26 of the 26 references it cites were found in a registry or an index.

Mapping the hydrodynamic response to the initial geometry in heavy-ion collisions

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Gardim, Fernando G., Grassi, Frédérique, Luzum, Matthew, Ollitrault, Jean-Yves·2012·Physical Review C

Abstract

We investigate how the initial geometry of a heavy-ion collision is transformed into final flow observables by solving event-by-event ideal hydrodynamics with realistic fluctuating initial conditions. We study quantitatively to what extent anisotropic flow (${v}_{n}$) is determined by the initial eccentricity ${\ensuremath{\varepsilon}}_{n}$ for a set of realistic simulations, and we discuss which definition of ${\ensuremath{\varepsilon}}_{n}$ gives the best estimator of ${v}_{n}$. We find that the common practice of using an ${r}^{2}$ weight in the definition of ${\ensuremath{\varepsilon}}_{n}$ in general results in a poorer predictor of ${v}_{n}$ than when using ${r}^{n}$ weight, for $n>2$. We similarly study the importance of additional properties of the initial state. For example, we show that in order to correctly predict ${v}_{4}$ and ${v}_{5}$ for noncentral collisions, one must take into account nonlinear terms proportional to ${\ensuremath{\varepsilon}}_{2}^{2}$ and ${\ensuremath{\varepsilon}}_{2}{\ensuremath{\varepsilon}}_{3}$, respectively. We find that it makes no difference whether one calculates the eccentricities over a range of rapidity or in a single slice at $z=0$, nor is it important whether one uses an energy or entropy density weight. This knowledge will be important for making a more direct link between experimental observables and hydrodynamic initial conditions, the latter being poorly constrained at present.

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Metadata

Authors
Gardim, F. G., Grassi, F., Luzum, M., & Ollitrault, J.-Y.
Venue
Physical Review C
Published
2012-02-24
Volume
85
Issue
2
ISSN
  • 0556-2813 (ISSN-L)
  • 1089-490X
OpenAlex
W2044563055
Cited by
311
References
26
FWCI
14.05
Type
journal article
Language
en
Open access
green

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CoChat. (2026). Citation check: Mapping the hydrodynamic response to the initial geometry in heavy-ion collisions. https://app.cochat.ai/papers/10.1103/physrevc.85.024908
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Gardim, F. G., Grassi, F., Luzum, M., & Ollitrault, J.-Y. (2012). Mapping the hydrodynamic response to the initial geometry in heavy-ion collisions. Physical Review C. https://doi.org/10.1103/physrevc.85.024908

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