Continuous limit and scaling laws

We can now consider the continuous limit. In this case, the length / which appears in (8.1.70) becomes very small. Consequently, one must look at large values of x, i.e. small values of k. 

From a physical point of view, it is interesting to consider this limit when the interaction is small. Thus, when the number of links increases, there is a continuous transition from Brownian behaviour to excluded volume behaviour. In this limit, the coupled equations (8.1.99) and (8.1.100) read 

When n is small (nzj/e 1) which corresponds to large values of k(kz, 2/ H the chain looks quasi-Browmian. In fact, from the above equations, we derive 

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