Acoustic scaling of linear and mode-coupled anisotropic flow; implications for precision extraction of the specific shear viscosity

Liu, Peifeng; Lacey, Roy A.

doi:10.1103/PhysRevC.98.021902

Title: Acoustic scaling of linear and mode-coupled anisotropic flow; implications for precision extraction of the specific shear viscosity

Journal Article · Wed Aug 29 00:00:00 EDT 2018 · Physical Review C

DOI:https://doi.org/10.1103/PhysRevC.98.021902· OSTI ID:1598553

Liu, Peifeng ^[1]; Lacey, Roy A. ^[1]

Stony Brook Univ., NY (United States)

The $n th$ -order linear flow coefficients $v_{n}^{L} (n = 2, 3, 4, 5)$ , and the corresponding nonlinear mode-coupled ( $mc$ ) coefficients $v_{4, (2, 2)}^{mc}$ , $v_{5, (2, 3)}^{mc}$ , $v_{6, (3, 3)}^{mc}$ , and $v_{6, (2, 2, 2)}^{mc}$ , are studied for Pb+Pb collisions at $\sqrt{s_{N N}} = 2.76$ TeV. Both sets of coefficients suggest a common acoustic scaling pattern of exponential viscous modulation, with a rate proportional to the square of the harmonic numbers and the mean transverse momenta (respectively), and inversely proportional to the cube root of the charged particle multiplicity $[{(N_{ch})}^{1 / 3}]$ , which characterizes the dimensionless size of the systems produced in the collisions. These patterns and their associated scaling parameters offer new stringent constraints for eccentricity-independent estimates of the specific shear viscosity $\frac{η}{s} (T)$ and the viscous correction to the thermal distribution function for the matter produced in the collisions. They also give crucial constraints for extraction of the initial-state eccentricity spectrum.

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Research Organization:: Stony Brook Univ., NY (United States)

Sponsoring Organization:: USDOE Office of Science (SC), Nuclear Physics (NP)

Grant/Contract Number:: FG02-87ER40331

OSTI ID:: 1598553

Alternate ID(s):: OSTI ID: 1467961

Journal Information:: Physical Review C, Vol. 98, Issue 2; ISSN 2469-9985

Publisher:: American Physical Society (APS)Copyright Statement

Country of Publication:: United States

Language:: English

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Cited by: 11 works

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References (35)

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Title: Acoustic scaling of linear and mode-coupled anisotropic flow; implications for precision extraction of the specific shear viscosity

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