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.
- Mechanical properties
- Statistical mechanics: stiffness