Form of Rouse Theory Ladder Networks

Closed Form of Rouse Theory Ladder Networks 

The results of the Rouse theory are usually left in the form of sums because with high-speed computers there is no difficulty in evaluating them. It can be shown, however, that equations 1 and 2 with the summations carried to TV = oo (satisfactory within the restrictions discussed in the preceding paragraph) correspond to the following closed form complex expression for G and G  

Ladder network of Blizard for uncross-linked polymer of low molecular weight. 

A similar ladder network model in which the line of springs is fixed at one end has been used by Marvin and Oser - with various modifications which will be mentioned below. In this case the complex modulus is given by 

---