The coefficient of viscosity is defined as the shear stress produced by unit velocity gradient. For
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The coefficient of viscosity η is defined as the shear stress produced by unit velocity gradient. For the pxz component of the kinetic pressure dyad, for example, we have
Assume the following form for the equilibrium velocity distribution function of the electrons
which indicates the presence of an average velocity ux(z) in the x direction having a gradient in the z direction. In the absence of external forces and using the relaxation model for the collision term with a constant collision frequency ν, let f = f0 + f1 with |f1| ≪ f0 in the Boltzmann equation, under steady-state conditions, to show that
Next, calculate Pxz and show that the coefficient of viscosity is given by
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