| Summary: | 碩士 === 國立臺灣大學 === 化學工程學研究所 === 92 === The diffusion-limited loop formation is investigated for a flexible polymer owing to the reversible intrachain reaction. The polymer is made of N hard-sphere confined by slightly extensible bonds, and the two reactive sites with binding energy - are randomly located. The open-to-closed crossover is characterized by the probability curve which depicts the variation of the open-state probability with temperature. It is found that and we can classify the loop formation into three types: (i) end-to-end, ; (ii) end-to-interior, ; (iii) interior-to-interior, . The constant G varies with locations of the reactive sites. Although the end-to-end loop is most easily formed for long polymers, the interior-to-interior loop is preferred for short chains, according to our study, we can control the probability of loop formation by utilizing loop types and contour distance between reactive sites.
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