Theory of polymer conformation based on the correlated walk model

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Abstract
A model polymer is allowed to grow in the same direction as that of the previous unit with probability α or turn at right angles with probability β but not to reverse. The mean square end‐to‐end distance 2≳ of a polymer of N units, is calculated to be 〈R2〉/a02=[(1+α)/(1−α)]N−2α (1−αN)/(1−α)], where a0 is the unit length. An exact expression for the probability that the Nth unit points in the same direction as that of the zeroth unit is also obtained. A general way of interpreting the conformation of simple polymers in terms of the present model and the connection with other theories of the polymer conformation are discussed.

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