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Statistical mechanics of wormlike polymers from a new generating function. II. The force-elongation relationship.

In a recent paper [J. Chem. Phys., 121, 6064 (2004)] we developed a method to solve the wormlike chain model of semiflexible polymers. In this note we apply this method to evaluate the force-elongation relationship. It is found that our result agrees qualitatively with experimental data and the results obtained using three other theoretical treatments of semiflexible polymers for all values of the semiflexibility parameter. Quantitative comparisons are presented in the limit of long chains where good quantitative agreement with experimental data and two of the aforementioned theoretical studies are observed for elongations up to 60%, approximately. The limit of stiff chains was also studied and good quantitative agreement with other theoretical results is observed. These results complement the ones reported in our previous paper and show the robustness of our method.