2013
DOI: 10.1088/0954-3899/40/9/095103
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Classification of initial state granularity via 2D Fourier expansion

Abstract: A new method to quantify fluctuations in the initial state of heavy ion collisions is presented. The initial state energy distribution is decomposed with a set of orthogonal basis functions which include both angular and radial variation. The resulting two dimensional Fourier coefficients provide additional information about the nature of the initial state fluctuations compared to a purely angular decomposition. We apply this method to ensembles of initial states generated by both Glauber and Color Glass Conde… Show more

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Cited by 31 publications
(28 citation statements)
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“…Indeed, one can find combinations of observables that effectively remove the dependence on medium properties [29], or conversely, to isolate medium properties, in a way that would not be possible without this knowledge [35]. Note that, in principle, one can use any choice of basis to characterize the initial transverse density [49,50]. However, one benefits enormously by choosing a basis that converges most quickly (in the sense of the expansion Eq.…”
Section: Fig 1 (Color Online)mentioning
confidence: 99%
“…Indeed, one can find combinations of observables that effectively remove the dependence on medium properties [29], or conversely, to isolate medium properties, in a way that would not be possible without this knowledge [35]. Note that, in principle, one can use any choice of basis to characterize the initial transverse density [49,50]. However, one benefits enormously by choosing a basis that converges most quickly (in the sense of the expansion Eq.…”
Section: Fig 1 (Color Online)mentioning
confidence: 99%
“…Hydrodynamic model with event-by-event (e-by-e) fluctuating initial conditions is considered to be one of the most successful frameworks in recent times to study the evolution of the hot and dense Quark-Gluon-Plasma (QGP) produced in collisions of heavy nuclei at the relativistic energies [1][2][3][4][5][6][7][8][9]. Hydrodynamic model with smooth initial density distribution was used for a long time earlier to explain the particle spectra and large elliptic flow of hadrons produced in heavy ion collisions at the Relativistic Heavy Ion Collider (RHIC) [10].…”
Section: Introductionmentioning
confidence: 99%
“…To this end, we employ in the following a Bessel-* Stefan.Floerchinger@cern.ch † Urs. Wiedemann@cern.ch Fourier expansion that-with the exception of one remarkable work [24]-has not been explored for the characterization of initial conditions so far.…”
Section: Introductionmentioning
confidence: 99%