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We analyze the angular dynamics of triaxial ellipsoids in a shear flowsubject to weak thermal noise. By numerically integrating an overdamped angularLangevin equation, we find the steady angular probability distribution for arange of triaxial particle shapes. From this distribution we compute theintrinsic viscosity of a dilute suspension of triaxial particles. We determinehow the viscosity depends on particle shape in the limit of weak thermal noise.While the deterministic angular dynamics depends very sensitively on particleshape, we find that the shape dependence of the intrinsic viscosity is weaker,in general, and that suspensions of rod-like particles are the most sensitiveto breaking of axisymmetry. The intrinsic viscosity of a dilute suspension oftriaxial particles is smaller than that of a suspension of axisymmetricparticles with the same volume, and the same ratio of major to minor axislengths.

Intrinsic viscosity of a suspension of weakly Brownian ellipsoids in shear