Calculation of the persistence length of a flexible polymer chain with short-range self-repulsion |
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Authors: | Email author" target="_blank">L?Sch?ferEmail author K?Elsner |
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Institution: | (1) Universität Duisburg-Essen, Standort Essen, Universitätsstr. 5, 45117 Essen, Germany |
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Abstract: | For a self-repelling polymer chain consisting of n segments we calculate the persistence length
, 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
-expansion we establish the scaling form and calculate the scaling function to order
. Asymptotically, the simple result
emerges for dimension d = 3. Also away from the excluded-volume limit
is found to behave very similar to the swelling factor of a chain of length
. 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.Received: 17 November 2003, Published online: 30 March 2004PACS:
61.25.Hq Macromolecular and polymer solutions; polymer melts; swelling - 05.10.Cc Renormalization group methods |
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Keywords: | |
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