Fluctuation of the initial condition from Glauber models

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dc.creatorBroniowski, Wojciech
dc.creatorBozek, Piotr
dc.creatorRybczynski, Maciej
dc.date2007-09-02
dc.date.accessioned2026-07-07T12:13:42Z
dc.date.available2026-07-07T12:13:42Z
dc.descriptionWe analyze measures of the azimuthal asymmetry, in particular the participant harmonic moments, epsilon*, in a variety of Glauber-like models for the early stage of collisions at RHIC. Quantitative comparisons indicate substantial model dependence for epsilon*, reflecting different effective number of sources, while the dependence of the scaled standard deviation sigma(epsilon*)/epsilon* on the particular Glauber model is weak. For all the considered models the values of sigma(epsilon*)/epsilon* range from ~0.5 for the central collisions to ~0.3-0.4 for peripheral collisions. These values, dominated by statistics, change only by 10-15% from model to model. For central collisions and in the absence of correlations between the location of sources we obtain through the use of the central limit theorem the simple analytic formula sigma(epsilon*)/epsilon*(b=0) ~ \sqrt{4/pi-1} ~ 0.52$, independent on the collision energy, mass number, or the number of sources. We investigate the shape-fluctuation effects for jet quenching and find they are important only for very central events. Finally, we list some remarks and predictions from smooth hydrodynamics on higher flow coefficients and their fluctuations, in particular sigma(v_4)/v_4=2 sigma(v_2)/v_2.
dc.description10 pages, talk at Critical Point and Onset of Deconfinement, 9-13 July 2007
dc.identifierhttps://arxiv.org/abs/0709.0123
dc.identifierhttp://arxiv.org/abs/0709.0123
dc.identifierPoSCPOD07:014,2007
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/210940
dc.subjectNuclear Theory
dc.subjectNuclear Experiment
dc.titleFluctuation of the initial condition from Glauber models
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