Improved approximations for some polymer extension models

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• 作者：Rafayel Petrosyan
• 关键词：Force ; extension curve ; Freely jointed chain model ; Worm ; like chain model ; Inverse Langevin function
• 刊名：Rheologica Acta
• 出版年：2017
• 出版时间：January 2017
• 年：2017
• 卷：56
• 期：1
• 页码：21-26
• 全文大小：
• 刊物类别：Chemistry and Materials Science
• 刊物主题：Characterization and Evaluation of Materials; Polymer Sciences; Soft and Granular Matter, Complex Fluids and Microfluidics; Mechanical Engineering; Food Science;
• 出版者：Springer Berlin Heidelberg
• ISSN：1435-1528
• 卷排序：56

文摘

We propose approximations for force-extension dependencies for the freely jointed chain (FJC) and worm-like chain (WLC) models as well as for extension-force dependence for the WLC model. Proposed expressions show less than 1 % relative error in the useful range of the corresponding variables. These results can be applied for fitting force-extension curves obtained in molecular force spectroscopy experiments. Particularly, they can be useful for cases where one has geometries of springs in series and/or in parallel where particular combination of expressions should be used for fitting the data. All approximations have been obtained following the same procedure of determining the asymptotes and then reducing the relative error of that expression by adding an appropriate term obtained from fitting its absolute error.