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

The nth-order linear flow coefficients vnL(n=2,3,4,5), and the corresponding nonlinear mode-coupled (mc) coefficients v4,(2,2)mc, v5,(2,3)mc, v6,(3,3)mc, and v6,(2,2,2)mc, are studied for Pb+Pb collisions at sNN=2.76 TeV. Both sets of coefficients indicate 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 [(Nch)1/3], which characterizes the dimensionless size of the systems produced in the collisions. These patterns and their associated scaling parameters provide new stringent constraints for eccentricity-independent estimates of the specific shear viscosity ηs(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.