The mean-square radius of gyration of polymer chains with side-groups was formulated using the method of matrix algebra with the rotational isomeric state approximation. If the effect of the side-groups is neglected, the expression reduces to that reported by Flory. The molecular weight dependence o
Free Energy of Deformation of the Radius of Gyration in Semiflexible Chains
✍ Scribed by Peter Cifra; Tomáš Bleha
- Publisher
- John Wiley and Sons
- Year
- 2007
- Tongue
- English
- Weight
- 409 KB
- Volume
- 16
- Category
- Article
- ISSN
- 1022-1344
No coin nor oath required. For personal study only.
✦ Synopsis
Abstract
The distribution function P(S) of the radius of gyration S, the corresponding elastic free energy A(S) and the mean force $\left\langle f \right\rangle (S)$ were computed from simulations based on the wormlike chain (WLC) model. The relation of the S‐conjugated elastic functions to the analogous functions based on the chain vector R and their connection to the statistical‐mechanics ensembles was elucidated. Simulation data revealed that available analytical functions for P(S) fail to predict the behavior of semiflexible chains. When the power‐law function P(S) was used instead, the exponents sizeably raised with stiffness at chain expansion. The exponents deduced from elastic compression of a chain agreed fairly with the scaling exponents for chain confinement into a sphere.
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