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The $\mathrm{n^{th}}$-order linear flow coefficients $\mathrm{v^L_n \,(n=2,3,4,5)}$, and the corresponding nonlinear mode-coupled ($\mathrm{mc}$)coefficients $\mathrm{v^{mc}_{4,(2,2)}}$, $\mathrm{v^{mc}_{5,(2,3)}}$,$\mathrm{v^{mc}_{6,(3,3)}}$ and $\mathrm{v^{mc}_{6,(2,2,2)}}$, are studied forPb+Pb collisions at $\sqrt{s_{_{\rm NN}}} = 2.76$ TeV. Both sets ofcoefficients indicate a common acoustic scaling pattern of exponential viscousmodulation, with a rate proportional to the square of the harmonic numbers andthe mean transverse momenta (respectively), and inversely proportional to thecube root of the charged particle multiplicity ($\mathrm{(N_{ch})^{1/3}}$),that characterizes the dimensionless size of the systems produced in thecollisions. These patterns and their associated scaling parameters, provide newstringent constraints for eccentricity independent estimates of the specificshear viscosity ($\eta/s$) and the viscous correction to the thermaldistribution function for the matter produced in the collisions. They also givecrucial constraints for extraction of the initial-state eccentricity spectrum.

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