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Title: Initial eccentricity and constituent quark number scaling of elliptic flow in ideal and viscous dynamics

Abstract

In the Israel-Stewart theory of dissipative hydrodynamics, the scaling properties of elliptic flow in Au+Au collisions are studied. The initial energy density of the fluid was fixed to reproduce STAR data on phi-meson multiplicity in 0-5% Au+Au collisions such that, irrespective of fluid viscosity, entropy at the freeze-out is similar in ideal or in viscous evolution. The initial eccentricity or constituent quark number scaling is only approximate in ideal or minimally viscous (eta/s=1/4pi) fluid. Eccentricity scaling becomes nearly exact in more viscous fluid (eta/s>=0.12). However, in more viscous fluid, constituent quark number scaled elliptic flow for mesons and baryons splits into separate scaling functions. Simulated flows also do not exhibit 'universal scaling'; that is, elliptic flow scaled by the constituent quark number and charged particles v{sub 2} is not a single function of transverse kinetic energy scaled by the quark number. From a study of the violation of universal scaling, we obtain an estimate of quark-gluon plasma viscosity, eta/s=0.12+-0.03. The error is statistical only. The systematic error in eta/s could be as large.

Authors:
 [1]
  1. Variable Energy Cyclotron Centre, 1/AF, Bidhan Nagar, Kolkata 700 064 (India)
Publication Date:
OSTI Identifier:
21388956
Resource Type:
Journal Article
Journal Name:
Physical Review. C, Nuclear Physics
Additional Journal Information:
Journal Volume: 81; Journal Issue: 4; Other Information: DOI: 10.1103/PhysRevC.81.044905; (c) 2010 The American Physical Society; Journal ID: ISSN 0556-2813
Country of Publication:
United States
Language:
English
Subject:
73 NUCLEAR PHYSICS AND RADIATION PHYSICS; APPROXIMATIONS; BARYONS; CHARGED PARTICLES; COLLISIONS; ENERGY DENSITY; ENTROPY; FLUIDS; FREEZING OUT; HYDRODYNAMICS; KINETIC ENERGY; MULTIPLICITY; PHI MESONS; QUARK MATTER; QUARKS; SCALING; SIMULATION; VISCOSITY; BOSONS; CALCULATION METHODS; ELEMENTARY PARTICLES; ENERGY; FERMIONS; FLUID MECHANICS; HADRONS; MATTER; MECHANICS; MESONS; PHYSICAL PROPERTIES; SEPARATION PROCESSES; THERMODYNAMIC PROPERTIES

Citation Formats

Chaudhuri, A K. Initial eccentricity and constituent quark number scaling of elliptic flow in ideal and viscous dynamics. United States: N. p., 2010. Web. doi:10.1103/PHYSREVC.81.044905.
Chaudhuri, A K. Initial eccentricity and constituent quark number scaling of elliptic flow in ideal and viscous dynamics. United States. doi:10.1103/PHYSREVC.81.044905.
Chaudhuri, A K. Thu . "Initial eccentricity and constituent quark number scaling of elliptic flow in ideal and viscous dynamics". United States. doi:10.1103/PHYSREVC.81.044905.
@article{osti_21388956,
title = {Initial eccentricity and constituent quark number scaling of elliptic flow in ideal and viscous dynamics},
author = {Chaudhuri, A K},
abstractNote = {In the Israel-Stewart theory of dissipative hydrodynamics, the scaling properties of elliptic flow in Au+Au collisions are studied. The initial energy density of the fluid was fixed to reproduce STAR data on phi-meson multiplicity in 0-5% Au+Au collisions such that, irrespective of fluid viscosity, entropy at the freeze-out is similar in ideal or in viscous evolution. The initial eccentricity or constituent quark number scaling is only approximate in ideal or minimally viscous (eta/s=1/4pi) fluid. Eccentricity scaling becomes nearly exact in more viscous fluid (eta/s>=0.12). However, in more viscous fluid, constituent quark number scaled elliptic flow for mesons and baryons splits into separate scaling functions. Simulated flows also do not exhibit 'universal scaling'; that is, elliptic flow scaled by the constituent quark number and charged particles v{sub 2} is not a single function of transverse kinetic energy scaled by the quark number. From a study of the violation of universal scaling, we obtain an estimate of quark-gluon plasma viscosity, eta/s=0.12+-0.03. The error is statistical only. The systematic error in eta/s could be as large.},
doi = {10.1103/PHYSREVC.81.044905},
journal = {Physical Review. C, Nuclear Physics},
issn = {0556-2813},
number = 4,
volume = 81,
place = {United States},
year = {2010},
month = {4}
}