Shear Viscosity of SRD Collisional Contribution

The collisional contribution to the shear viscosity is proportional to a /At as discussed in Sect. 3.2, it results from the momentum transfer between particles in a cell of size a during the collision step. Consider again a collision cell of linear dimension 

The use of the rotation rule (2) together with an average over the sign of the stochastic rotation angle yields 

Averaging over the position h of the dividing line, which corresponds to averaging over the random shift, we And 

Since the dynamic viscosity rj is defined as the ratio of the tangential stress, Oyx, to 

For MPC-AT, the viscosities have been calculated in [32] using the methods described in Sects. 5.1 and 5.2. The total viscosity of MPC-AT is given by the sum of two terms, the collisional and kinetic contributions. For MPC-AT—a, it was found for both two and three dimensions that [32] 

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