Probability Density Functions of the Radii of Gryation of Short Random Flight Chains

Distribution functions for the one-dimensional radii of gyration were calculated for random flight chains of 2, 4, and 10 statistical segments, and were compared with approximate distributions calculated with the “long-chain” eigenvalues. The correct distributions are broader and flatter than their...

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Bibliographic Details
Published in:The Journal of chemical physics 1970-03, Vol.52 (5), p.2222-2224
Main Authors: Hoffman, Robert F., Forsman, W. C.
Format: Article
Language:English
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Summary:Distribution functions for the one-dimensional radii of gyration were calculated for random flight chains of 2, 4, and 10 statistical segments, and were compared with approximate distributions calculated with the “long-chain” eigenvalues. The correct distributions are broader and flatter than their long-chain counterparts and have larger moments. The true distributions are not well represented by the long-chain approximation when the number of statical segments t is less than 10. But, considering the rate at which the two distributions approach each other with increasing t, we feel confident that the long-chain eigenvalues would be adequate for t ≥ 100. Indeed, for many practical considerations, one might take the long-chain distributions as reasonable approximations to the correct ones, even for t ≥ 10.
ISSN:0021-9606
1089-7690
DOI:10.1063/1.1673287