paper

Elliptic flow in the Gaussian model of eccentricity fluctuations

arXiv:0708.0800 · doi:10.1016/j.physletb.2007.11.043

Abstract

We discuss a specific model of elliptic flow fluctuations due to Gaussian fluctuations in the initial spatial and 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 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 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 distribution is again $\vfour=\mean{v_{RP}}$.

Very minor changes, as submitted to Phys. Lett. B

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