Smoluchowski equation including both translational and rotational diffusion

2 Smoluchowski equation including both translational and rotational diffusion 

We can now write down the Smoluchowski equation which includes both the rotational and translational motions. Let V(R, u r) be the probabO- 

The angular velocity is again given by eqn (8.13). Substituting this in the continuity equation 

The constants and Z x characterize the diffusion parallel and perpendicular to the rod axis if the rod is along the z axis, then the displacement of in a small time interval At is given as 

Having obtained the Smoluchowski equation, we now study the characteristic features of the Brownian motion of a free polymer (U O and ir = 0). 

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