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arXiv 0704.2138cond-mat.soft
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刚性聚合物的半经典屈曲

Semi-classical buckling of stiff polymers

Marc Emanuel, Hervé Mohrbach, Mehmet Sayar, Helmut Schiessel, Igor M. Kulić

摘要:

基于半经典近似的配分函数,提出了一种蜗杆链屈曲的定量理论。热波动的贡献,使超越经典的欧拉屈曲的力-延伸关系推导出在线性和非线性政权以及。结果表明,在非线性屈曲制度的热波动增加的半柔性杆的端到端的距离,如果它被限制到2维,而不是3维的情况下。我们的方法允许一个完整的物理理解屈曲在D=2和D=3以下和以上的欧拉过渡。

英文摘要:

A quantitative theory of the buckling of a worm like chain based on a semi-classical approximation of the partition function is presented. The contribution of thermal fluctuations to the force-extension relation that allows to go beyond the classical Euler buckling is derived in the linear and non-linear regime as well. It is shown that the thermal fluctuations in the nonlinear buckling regime increase the end-to-end distance of the semiflexible rod if it is confined to 2 dimensions as opposed to the 3 dimensional case. Our approach allows a complete physical understanding of buckling in D=2 and in D=3 below and above the Euler transition.

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