In heavy-ion collisions, the quark-gluon plasma is produced far from equilibrium. This regime is currently inaccessible by quantum chromodynamics (QCD) computations. We calculate shear transport and entropy far from equilibrium in a holographic model, defining a time-dependent ratio of shear viscosity to entropy density, $eta/s$. Large deviations of up to 60% from its near-equilibrium value, $1/4pi$, are found for realistic situations at the Large Hadron Collider. We predict the far-from-equilibrium time-dependence of $eta/s$ to substantially affect the evolution of the QCD plasma and to impact the extraction of QCD properties from flow coefficients in heavy-ion collision data.
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