Relative flow fluctuations as a probe of initial state fluctuations. Giacalone, G., Noronha-Hostler, J., & Ollitrault, J. Physical Review C, 95(5):054910, May, 2017. arXiv: 1702.01730
Relative flow fluctuations as a probe of initial state fluctuations [link]Paper  doi  abstract   bibtex   
Elliptic flow, \$v_2\$, and triangular flow, \$v_3\$, are to a good approximation linearly proportional to the corresponding spatial anisotropies of the initial density profile, \${\textbackslash}varepsilon_2\$ and \${\textbackslash}varepsilon_3\$. Using event-by-event hydrodynamic simulations, we point out when deviations from this linear scaling are to be expected. When these deviations are negligible, relative \$v_n\$ fluctuations are equal to relative \${\textbackslash}varepsilon_n\$ fluctuations, and one can directly probe models of initial conditions using ratios of cumulants, for instance \$v_n{\textbackslash}\{4{\textbackslash}\}/v_n{\textbackslash}\{2{\textbackslash}\}\$. We argue that existing models of initial conditions tend to overestimate flow fluctuations in central Pb+Pb collisions, and to underestimate them in peripheral collisions. We make predictions for \$v_3{\textbackslash}\{6{\textbackslash}\}\$ in noncentral Pb+Pb collisions, and for \$v_3{\textbackslash}\{4{\textbackslash}\}\$ and \$v_3{\textbackslash}\{6{\textbackslash}\}\$ in high-multiplicity p+Pb collisions.
@article{giacalone_relative_2017,
	title = {Relative flow fluctuations as a probe of initial state fluctuations},
	volume = {95},
	issn = {2469-9985, 2469-9993},
	url = {http://arxiv.org/abs/1702.01730},
	doi = {10.1103/PhysRevC.95.054910},
	abstract = {Elliptic flow, \$v\_2\$, and triangular flow, \$v\_3\$, are to a good approximation linearly proportional to the corresponding spatial anisotropies of the initial density profile, \${\textbackslash}varepsilon\_2\$ and \${\textbackslash}varepsilon\_3\$. Using event-by-event hydrodynamic simulations, we point out when deviations from this linear scaling are to be expected. When these deviations are negligible, relative \$v\_n\$ fluctuations are equal to relative \${\textbackslash}varepsilon\_n\$ fluctuations, and one can directly probe models of initial conditions using ratios of cumulants, for instance \$v\_n{\textbackslash}\{4{\textbackslash}\}/v\_n{\textbackslash}\{2{\textbackslash}\}\$. We argue that existing models of initial conditions tend to overestimate flow fluctuations in central Pb+Pb collisions, and to underestimate them in peripheral collisions. We make predictions for \$v\_3{\textbackslash}\{6{\textbackslash}\}\$ in noncentral Pb+Pb collisions, and for \$v\_3{\textbackslash}\{4{\textbackslash}\}\$ and \$v\_3{\textbackslash}\{6{\textbackslash}\}\$ in high-multiplicity p+Pb collisions.},
	number = {5},
	urldate = {2020-02-23},
	journal = {Physical Review C},
	author = {Giacalone, Giuliano and Noronha-Hostler, Jacquelyn and Ollitrault, Jean-Yves},
	month = may,
	year = {2017},
	note = {arXiv: 1702.01730},
	keywords = {High Energy Physics - Phenomenology, Nuclear Experiment, Nuclear Theory},
	pages = {054910}
}

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