Elliptic flow in the Gaussian model of eccentricity fluctuations
By S. Voloshin, A. Poskanzer, A. Tang, Gang Wang. 2007
167 citations recorded by the source corpus.
Abstract We discuss a specific model of elliptic flow fluctuations due to Gaussian fluctuations in the initial spatial x and y eccentricity components { 〈 ( σ y 2 − σ x 2 ) / ( σ x 2 + σ y 2 ) 〉 , 〈 2 σ x y / ( σ x 2 + σ y 2 ) 〉 } . We find that in this model v 2 { 4 } , elliptic flow determined from 4-particle cumulants, exactly equals the average flow value in the reaction plane coordinate system, 〈 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 v 2 { 4 } . Analysis of the distribution in the magnitude of the flow vector, the Q-distribution, reveals that it is totally defined by two parameters, v 2 { 2 } , the flow from 2-particle cumulants, and v 2 { 4 } , thus providing equivalent information compared to the method of cumulants. The flow obtained from the Q-distribution is again v 2 { 4 } = 〈 v RP 〉 .
Subfields: Condensed Matter Physics, Nuclear and High Energy Physics
View Paper: https://www.semanticscholar.org/paper/12ddaf0f74b0b841b0fe605e1968d9e7a34dd527
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In Nuclear and High Energy Physics
Citations in the corpus
- Collective flow and hydrodynamics in large and small systems at the LHC (2017, background): “describe the v2 distributions for mid-central collisions [178, 179].”