(2.25)

which contains , the mechanical forces on bead , the sum of the intramolecular, intermolecular, and external forces:

(2.26)

and the stochastic forces on bead :

= the sum of the Brownian and drag forces(2.27)

For any bead-spring model the solution of Eq. 2.25 is:

(2.28)

Here is an expansion parameter, the are tensorial Hermite polynomials of order n, and the are nth order tensors that contain the gradients of velocity, temperature, and concen-tration. Furthermore indicates an nth order dot product.

The pair distribution function, which appears in the expressions above, has not been obtained in an analogous fashion. All we have at present is an