Entanglement probabilities for a harmonically bound macromolecule

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Abstract
We discuss a general scheme to derive various statistical properties of a macromolecule whose repeating units interact with a straight line and which is entangled with that line. In the case of harmonic forces an exact expression is found for the probability that a ring shaped macromolecule is n‐times entangled with the line. For more general interactions, the low and high temperature limits of the entanglement probabilities are discussed briefly.

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