Probability Distribution of the Radius of Gyration of a Flexible Polymer
- 1 June 1967
- journal article
- research article
- Published by AIP Publishing in Journal of Mathematical Physics
- Vol. 8 (6), 1276-1284
- https://doi.org/10.1063/1.1705344
Abstract
Various aspects of the mathematics of the probability distributionPN (Sx ) of one component of the square of the radius of gyration of an ideal Brownian chain with N units are presented. A rigorous expression for PN (Sx ) in the form of a contour integral is obtained. The resulting integral is written in terms of Tchebichef polynomials. Several rigorous and approximate results are obtained for both the limiting distribution (N infinite) and for finite N.Keywords
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