  We study the viscosity of light charged particles in weakly ionized plasma
with the power-law q-distributions by using the Boltzmann equation of transport
and the motion equation of hydrodynamics. The nonequilibrium plasma is
considered to be space inhomogeneous and without magnetic field. We derive the
expressions of the viscosity coefficients of the electrons and the ions in the
q-distributed plasma, including the first and the second viscosity coefficients
respectively. It is shown that these new viscosity coefficients depend strongly
on the q-parameters, and when we take the limit of q to 1, they perfectly
return to those in the plasma with a Maxwellian distribution. The discussions
presented in this paper can also be applied to the plasmas with the
kappa-distributions.
