  The viscosity tensor of the magnetized one-component plasma, consisting of
five independent shear viscosity coefficients, a bulk viscosity coefficient,
and a cross coefficient, is computed using equilibrium molecular dynamics
simulations and the Green-Kubo relations. A broad range of Coulomb coupling and
magnetization strength conditions are studied. Magnetization is found to
strongly influence the shear viscosity coefficients when the gyrofrequency
exceeds the Coulomb collision frequency. Three regimes are identified as the
Coulomb coupling strength and magnetization strength are varied. The Green-Kubo
relations are used to separate kinetic and potential energy contributions to
each viscosity coefficient, showing how each contribution depends upon the
magnetization strength. The shear viscosity coefficient associated with the
component of the stress tensor parallel to the magnetic field, and the two
coefficients associated with the component perpendicular to the magnetic field,
are all found to merge to a common value at strong Coulomb coupling.
