Elliptic flow in the Gaussian model of eccentricity fluctuations

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dc.creatorVoloshin, Sergei A.
dc.creatorPoskanzer, Arthur M.
dc.creatorTang, Aihong
dc.creatorWang, Gang
dc.date2007-08-06
dc.date2007-10-23
dc.date.accessioned2026-07-07T11:18:27Z
dc.date.available2026-07-07T11:18:27Z
dc.descriptionWe discuss a specific model of elliptic flow fluctuations due to Gaussian fluctuations in the initial spatial $x$ and $y$ eccentricity components $\left\{\mean{(σ_y^2-σ_x^2)/(σ_x^2+σ_y^2)}, \mean{2σ_{xy}/(σ_x^2+σ_y^2)} \right\}$. 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 $\vfour=\mean{v_{RP}}$.
dc.descriptionVery minor changes, as submitted to Phys. Lett. B
dc.identifierhttps://arxiv.org/abs/0708.0800
dc.identifierhttp://arxiv.org/abs/0708.0800
dc.identifierPhys.Lett.B659:537-541,2008
dc.identifierdoi:10.1016/j.physletb.2007.11.043
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/193348
dc.subjectNuclear Theory
dc.titleElliptic flow in the Gaussian model of eccentricity fluctuations
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