Mixed harmonic cumulants of elliptic and triangular flow obey simple ratios set by reaction-plane elliptic flow, yielding new predictions for 10-particle cumulants.
Elliptic flow in the Gaussian model of eccentricity fluctuations
5 Pith papers cite this work, alongside 193 external citations. Polarity classification is still indexing.
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Pith papers citing it
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external citations · Pith
abstract
We discuss a specific model of elliptic flow fluctuations due to Gaussian fluctuations in the initial spatial $x$ and $y$ eccentricity components $\left\{\mean{(\sigma_y^2-\sigma_x^2)/(\sigma_x^2+\sigma_y^2)}, \mean{2\sigma_{xy}/(\sigma_x^2+\sigma_y^2)} \right\}$. We find that in this model $\vfour$, elliptic flow determined from 4-particle cumulants, exactly equals the average flow value in the reaction plane coordinate system, $\mean{v_{RP}}$, the relation which, in an approximate form, was found earlier by Bhalerao and Ollitrault in a more general analysis, but under the same assumption that $v_2$ is proportional to the initial system eccentricity. We further show that in the Gaussian model all higher order cumulants are equal to $\vfour$. Analysis of the distribution in the magnitude of the flow vector, the $Q-$distribution, reveals that it is totally defined by two parameters, $\vtwo$, the flow from 2-particle cumulants, and $\vfour$, thus providing equivalent information compared to the method of cumulants. The flow obtained from the $Q-$distribution is again $\vfour=\mean{v_{RP}}$.
representative citing papers
ATLAS presents first v_n (n=2-4) measurements in O+O and Ne+Ne collisions, showing a flow hierarchy and a central Ne+Ne v2 enhancement consistent with prolate neon deformation.
Hydrodynamic simulations of heavy-ion collisions demonstrate that cumulants linking mean pT and elliptic flow quantitatively match relations derived from initial-state entropy predictors and moments of harmonic flow.
Volume variation with multiplicity in ultracentral collisions is small when total entropy scales with nuclear mass number, as shown by relating it to initial density fluctuation profiles.
Simulations show non-flow two-particle cumulant distributions have high skewness and kurtosis while true elliptic flow distributions are closer to Gaussian with lower values.
citing papers explorer
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Explaining higher-order correlations between elliptic and triangular flow
Mixed harmonic cumulants of elliptic and triangular flow obey simple ratios set by reaction-plane elliptic flow, yielding new predictions for 10-particle cumulants.
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Measurement of the azimuthal anisotropy of charged particles in $\sqrt{s_{\mathrm{NN}}}=5.36$ TeV $^{16}$O$+^{16}$O and $^{20}$Ne$+^{20}$Ne collisions with the ATLAS detector
ATLAS presents first v_n (n=2-4) measurements in O+O and Ne+Ne collisions, showing a flow hierarchy and a central Ne+Ne v2 enhancement consistent with prolate neon deformation.
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Cumulants of mean transverse momentum and elliptic flow in the hydrodynamic model of heavy-ion collisions
Hydrodynamic simulations of heavy-ion collisions demonstrate that cumulants linking mean pT and elliptic flow quantitatively match relations derived from initial-state entropy predictors and moments of harmonic flow.
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The size of the quark-gluon plasma in ultracentral collisions: impact of initial density fluctuations on the average transverse momentum
Volume variation with multiplicity in ultracentral collisions is small when total entropy scales with nuclear mass number, as shown by relating it to initial density fluctuation profiles.
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Two-particle cumulant distribution: a simulation study of higher moments
Simulations show non-flow two-particle cumulant distributions have high skewness and kurtosis while true elliptic flow distributions are closer to Gaussian with lower values.