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arXiv 0902.2079cond-mat.soft
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压缩下半柔性纤维的屈曲

Buckling of semiflexible filaments under compression

J. R. Blundell, E. M. Terentjev

摘要:

提出了一个有限温度下纤维屈曲的模型。从经典的蠕虫状链模型出发,利用平均场方法求解细丝不可伸展性,得到了完整的配分函数。我们发现,有一个简单的插值公式,描述链或长丝的自由能作为端到端的分离的函数,它跨越了整个范围内的长丝刚度。利用这个公式,我们研究了半柔性长丝的屈曲转变,发现动力学起着重要的作用。我们提出,细丝屈曲本质上是一级转变所支配的动力学逃脱当地的自由能最小值。提出了一个简单的动力学模型,该模型表明,纤维的临界屈曲力减少了一个分数,该分数具有与温度的指数为0.56的普适标度。

英文摘要:

A model for filament buckling at finite temperatures is presented. Starting from the classical worm-like chain model under constant compression, we use a mean-field approach for filament inextensibility to find the complete partition function. We find that there is a simple interpolation formula that describes the free energy of chains or filaments as a function of end-to-end separation, which spans the whole range of filament stiffnesses. Using this formula we study the buckling transition of semiflexible filaments and find that kinetics plays an important role. We propose that the filament buckling is essentially the first order transition governed by the kinetics of escaping a local free energy minimum. A simple model for the kinetics is put forward, which shows the critical buckling force for a filament is reduced by a fraction that has a universal scaling with temperature with an exponent 0.56.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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