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85033839391
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Clearly, the form of the result (eq 17) for the entropy is based on our simplification that one loop behaves as two independent pseudotails. A more accurate estimate would involve considering two different size distributions (one for the loops and one for the tails) and does not reduce to the simple form of eq 17. Such an approach has been explored (Guiselin O., unpublished results): the result is a set of equations which may be solved in some favorable cases (to give, e.g., the equilibrium loop distribution in reversibly adsorbed layers, see below) but leads to unphysical predictions. A possible explanation for this failure is the following (see ref 29). If one loop is treated as two independent tails, some extra configurations of the loop are allowed (those where the tails' free-ends do not join), and, from this point of view, the entropy is overestimated. But simultaneously, the relative orientation of the loop with respect to the surface becomes irrelevant. Due to this degree of freedom which is now ignored, the entropy is also underestimated. The form (eq 17) for the entropy may benefit from partial cancelation of these two approximations, and thus any improvement of only one of these may result in a poorer description of the behavior of the layer.
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