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Distribution Function and Thermodynamic Potentials of a Self-Avoiding Chain

✍ Scribed by Aleksey D. Drozdov

Publisher
John Wiley and Sons
Year
2006
Tongue
English
Weight
289 KB
Volume
15
Category
Article
ISSN
1022-1344

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✦ Synopsis

Abstract

Summary: An explicit expression is derived for the distribution function of end‐to‐end vectors for a flexible self‐avoiding chain. Based on this relation, analytical formulas are developed for the free and internal energies of a chain with excluded‐volume interactions. Force–stretch relations are obtained at uniaxial tension and compression. The effects of strength of segment interactions on the shapes of the distribution function and the force‐displacement diagram, as well as on the mean‐square end‐to‐end distance and stiffness of a chain are studied numerically.

The dimensionless distribution function P versus the dimensionless end‐to‐end vector Q^*^ for self‐repellent chains with χ = 0.0, 0.4, 0.8, 1.2, and 1.6, from top to bottom, respectively.

magnified imageThe dimensionless distribution function P versus the dimensionless end‐to‐end vector Q^*^ for self‐repellent chains with χ = 0.0, 0.4, 0.8, 1.2, and 1.6, from top to bottom, respectively.

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