Calculation of the persistence length of a flexible polymer chain with short range self-repulsion

Details Calculation of the persistence length of a flexible polymer chain with short range self-repulsion Calculation of the persistence length of a flexible polymer chain with short range self-repulsion

2003-07-14

arxiv.org/abs/cond-mat/0307329v3

Physics

Condensed Matter

Soft Condensed Matter

28 pages, 8 figures, changed content

Scientific paper

10.1140/epje/i2003-10071-1

For a self-repelling polymer chain consisting of n segments we calculate the persistence length L(j,n), defined as the projection of the end-to-end vector on the direction of the j`th segment. This quantity shows some pronounced variation along the chain. Using the renormalization group and epsilon-expansion we establish the scaling form and calculate the scaling function to order epsilon^2. Asymptotically the simple result L(j,n) ~ const(j(n-j)/n)^(2nu-1) emerges for dimension d=3. Also outside the excluded volume limit L(j,n) is found to behave very similar to the swelling factor of a chain of length j(n-j)/n. We carry through simulations which are found to be in good accord with our analytical results. For d=2 both our and previous simulations as well as theoretical arguments suggest the existence of logarithmic anomalies.

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