The Annals of Probability
- Ann. Probab.
- Volume 9, Number 4 (1981), 537-554.
Polymers as Self-Avoiding Walks
A brief overview is presented of the relation of the properties of real polymers to the problem of self-avoiding random walks. The self-consistent field method is discussed wherein the non-Markovian continuous self-avoiding polymer is replaced by a self-consistent Markovian approximation. An outline is presented of the method of solution of the resultant nonlinear integrodifferential equations. A description is also presented of the scaling theories which provide a means for deducing some exponents in the asymptotic dependence of walk properties on the length of the walk in the limit of infinite length walks.
Ann. Probab., Volume 9, Number 4 (1981), 537-554.
First available in Project Euclid: 19 April 2007
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Freed, Karl F. Polymers as Self-Avoiding Walks. Ann. Probab. 9 (1981), no. 4, 537--554. doi:10.1214/aop/1176994359. https://projecteuclid.org/euclid.aop/1176994359