𝔖 Bobbio Scriptorium
✦   LIBER   ✦

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.

magnified image


📜 SIMILAR VOLUMES


Calculation of the mean-square radius of
✍ Zhou Zhiping; Xu Jianmin; Song Xubing; Yan Deyue 📂 Article 📅 1992 🏛 Elsevier Science 🌐 English ⚖ 284 KB

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

Distribution function for the radius of
✍ Wayne L. Mattice; Donald H. Napper 📂 Article 📅 1994 🏛 John Wiley and Sons 🌐 English ⚖ 368 KB

## Abstract Chains that are unperturbed by the intramolecular excluded volume effect are examined in the free state and under conditions where one of the ends is attached to an impenetrable surface. The density of the attachment of the chains to the surface is so low that interchain interactions ca

Monte carlo computation of the supercoil
✍ Marc Le Bret 📂 Article 📅 1980 🏛 Wiley (John Wiley & Sons) 🌐 English ⚖ 986 KB

## Abstract Closed random Gaussian polygonal chains of __N__ (6 < __N__ < 150) bonds of equal length __b__ and thickness __d__ have been generated on a computer. The knot type, the writhing number __w__, the radius of gyration, and the average of the inverse of the distance between two apices have

Modification of the apparent radius of g
✍ C. S. Borso; J. B. Stamatoff 📂 Article 📅 1980 🏛 Wiley (John Wiley & Sons) 🌐 English ⚖ 535 KB

## Abstract Small changes in the apparent radius of gyration of native cytochrome c were measured as a function of pH in solutions of 0 and 50 m__M__ ruthenium hexicyanide. The forward scattering was also measured as a function of pH under the same conditions to ascertain the contribution of the Ru

Measurements of persistence length and t
✍ G.D. Wignall; D.G.H. Ballard; J. Schelten 📂 Article 📅 1974 🏛 Elsevier Science 🌐 English ⚖ 342 KB

Measurements of radius of gyration, (SZ) ~, and persistence length of polymer molecules in bulk atactic polystyrene have been made by means of low angle neutron scattering. The measured values of (S 2 )~ lie close to those measured in 0:solvents and have a molecular weight dependence of M -\*+~ wher