{"arxiv_id":"1305.3098","incoming":{"papers":1,"sentences":1,"groups":[],"unlabelled_sentences":1},"outgoing":{"papers":45,"sentences":60,"groups":[{"kind":"method_or_tool","label":"Uses the method or tool of","papers":4,"sentences":4,"quotes":[{"arxiv_id":"nucl-th/0611017","title":"Effects of fluctuations on the initial eccentricity from the Color Glass Condensate in heavy ion collisions","url":"/paper/nucl-th/0611017","section":"Details of the Hydrodynamic Modelling","sentence":"In order to get an idea of the type of energy density profiles obtained in event by event simulations, we show in Fig. [ref] the initial energy density distribution in the transverse plane at the mid-rapidity for a randomly chosen central Au+Au collision at 200GeV, computed using an implementation of the Monte Carlo Glauber model developed in [ref] and used throughout this work.","intent_p":1.0,"contests_p":null},{"arxiv_id":"0707.0249","title":"Eccentricity fluctuations from the Color Glass Condensate at RHIC and LHC","url":"/paper/0707.0249","section":"Details of the Hydrodynamic Modelling","sentence":"In order to get an idea of the type of energy density profiles obtained in event by event simulations, we show in Fig. [ref] the initial energy density distribution in the transverse plane at the mid-rapidity for a randomly chosen central Au+Au collision at 200GeV, computed using an implementation of the Monte Carlo Glauber model developed in [ref] and used throughout this work.","intent_p":1.0,"contests_p":null},{"arxiv_id":"0902.4870","title":"Topology studies of hydrodynamics using two particle correlation analysis","url":"/paper/0902.4870","section":"Results","sentence":"The method that we used to remove the background and define the function $R (Δϕ)$ is a variation of the widely known mixed event method (this was also used in [ref] ).","intent_p":0.99,"contests_p":null},{"arxiv_id":"nucl-th/0102011","title":"Event-by-event analysis of ultra-relativistic heavy-ion collisions in smoothed particle hydrodynamics","url":"/paper/nucl-th/0102011","section":"Cooper-Frye Prescription in the SPH approach","sentence":"In the SPH representation (see the appendix [ref]), the Cooper-Frye formula ([ref]) becomes [ref]","intent_p":0.87,"contests_p":null}]},{"kind":"comparison","label":"Compares with","papers":3,"sentences":3,"quotes":[{"arxiv_id":"hep-ph/0407264","title":"Topics on Hydrodynamic Model of Nucleus-Nucleus Collisions","url":"/paper/hep-ph/0407264","section":"Details of the Hydrodynamic Modelling","sentence":"Our code matches the previous tests made using the NexSPheRIO code [ref] and, in Appendix [ref], we show that our code is able to perfectly match the exact solution of 2+1 ideal hydrodynamics obtained in Ref. [ref] (also known as Gubser flow).","intent_p":0.87,"contests_p":null},{"arxiv_id":"1006.0006","title":"Symmetry constraints on generalizations of Bjorken flow","url":"/paper/1006.0006","section":"Details of the Hydrodynamic Modelling","sentence":"Our code matches the previous tests made using the NexSPheRIO code [ref] and, in Appendix [ref], we show that our code is able to perfectly match the exact solution of 2+1 ideal hydrodynamics obtained in Ref. [ref] (also known as Gubser flow).","intent_p":0.87,"contests_p":null},{"arxiv_id":"1212.1008","title":"Event-by-event distributions of azimuthal asymmetries in ultrarelativistic heavy-ion collisions","url":"/paper/1212.1008","section":"Results","sentence":"These results are compatible with those obtained in Ref. [ref] where the linear correlation between the $p_T$ integrated flow coefficients and the eccentricities was investigated (within viscous hydrodynamics).","intent_p":0.91,"contests_p":null}]},{"kind":"supports_this_paper","label":"Cites as support","papers":2,"sentences":2,"quotes":[{"arxiv_id":"0801.4545","title":"Dihadron azimuthal correlations in Au+Au collisions at sqrt(s_NN)=200 GeV","url":"/paper/0801.4545","section":"Eccentricity definition","sentence":"As it was mentioned in the previous section, Eqs. ([ref]) and ([ref]) show that the $v_n$ coefficients alone (or, equivalently, the eccentricities alone) do not provide enough information to produce the azimuthal structures observed in the di-hadron correlation function [ref] in the case where the $p_T$ bins of the triggers and associated hadrons are different.","intent_p":0.97,"contests_p":null},{"arxiv_id":"1010.1876","title":"Triangularity and Dipole Asymmetry in Heavy Ion Collisions","url":"/paper/1010.1876","section":"Eccentricity definition","sentence":"A motivation for the definition ([ref]) can be found in Ref. [ref] where it was shown that the eccentricities defined above are related to the irreducible components of the cumulant expansion of the initial energy density distribution.","intent_p":0.96,"contests_p":null}]},{"kind":"background","label":"Cites as background","papers":21,"sentences":21,"quotes":[{"arxiv_id":"1003.0194","title":"Collision geometry fluctuations and triangular flow in heavy-ion collisions","url":"/paper/1003.0194","section":"Introduction","sentence":"Considerable effort has been since given towards understanding how harmonic flow components evolve from the initial geometry of the fluctuating initial conditions [ref] to the final spectrum of observed particles.","intent_p":0.93,"contests_p":null},{"arxiv_id":"1007.5469","title":"Triangular flow in hydrodynamics and transport theory","url":"/paper/1007.5469","section":"Introduction","sentence":"Considerable effort has been since given towards understanding how harmonic flow components evolve from the initial geometry of the fluctuating initial conditions [ref] to the final spectrum of observed particles.","intent_p":0.93,"contests_p":null},{"arxiv_id":"1107.5485","title":"Understanding anisotropy generated by fluctuations in heavy-ion collisions","url":"/paper/1107.5485","section":"Introduction","sentence":"Considerable effort has been since given towards understanding how harmonic flow components evolve from the initial geometry of the fluctuating initial conditions [ref] to the final spectrum of observed particles.","intent_p":0.93,"contests_p":null},{"arxiv_id":"1104.4740","title":"Determining initial-state fluctuations from flow measurements in heavy-ion collisions","url":"/paper/1104.4740","section":"Introduction","sentence":"Considerable effort has been since given towards understanding how harmonic flow components evolve from the initial geometry of the fluctuating initial conditions [ref] to the final spectrum of observed particles.","intent_p":0.93,"contests_p":null},{"arxiv_id":"1010.1876","title":"Triangularity and Dipole Asymmetry in Heavy Ion Collisions","url":"/paper/1010.1876","section":"Introduction","sentence":"Considerable effort has been since given towards understanding how harmonic flow components evolve from the initial geometry of the fluctuating initial conditions [ref] to the final spectrum of observed particles.","intent_p":0.93,"contests_p":null}]}],"unlabelled_sentences":30},"claims":[],"thresholds":{"intent_p":0.8,"supports_p":0.95,"contests_p":0.7},"method":"Citing sentences come from each paper's LaTeX source; every \\cite marks the sentence and the works it cites. Pith's classifier typed each sentence. A label is shown at intent probability 0.8 or more (0.95 for support), a contest at 0.7 or more. Measured accuracy against two blind model families is at https://pith.science/accuracy. The quoted sentences are the citing authors' own.","held_up":null,"_links":{"html":"https://pith.science/paper/1305.3098"}}