Equilibrium fluctuations of a semiflexible filament cross linked into a network.,Physical Review E

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Equilibrium fluctuations of a semiflexible filament cross linked into a network.
Physical Review E ( IF 2.2 ) Pub Date : 2020-01-01 , DOI: 10.1103/physreve.101.012408
Jonathan Kernes ₁ , Alex J Levine _{1,

2,

3}

Affiliation

We examine the equilibrium fluctuation spectrum of a semiflexible filament segment in a network. The effect of this cross linking is to modify the mechanical boundary conditions at the end of the filament. We consider the effect of both tensile stress in the network and its elastic compliance. Most significantly, the network's compliance introduces a nonlinear term into the filament Hamiltonian even in the small-bending approximation. We analyze the effect of this nonlinearity upon the filament's fluctuation profile. We also find that there are three principal fluctuation regimes dominated by one of the following: (i) network tension, (ii) filament bending stiffness, or (iii) network compliance. This work provides the theoretical framework necessary to analyze activity microrheology, which uses the observed filament fluctuations as a noninvasive probe of tension in the network.

中文翻译：

半柔丝的平衡波动交联成网络。

我们研究了网络中半柔韧丝段的平衡波动谱。这种交联的作用是改变长丝末端的机械边界条件。我们考虑了网络中的拉应力及其弹性柔度的影响。最重要的是，即使在小弯曲近似中，网络的顺应性也将非线性项引入到细丝哈密顿量中。我们分析了这种非线性对灯丝波动分布的影响。我们还发现，存在以下三种情况之一，主导着三种主要的波动机制：（i）网络张力，（ii）细丝弯曲刚度或（iii）网络顺应性。这项工作为分析活性微流变学提供了必要的理论框架，

更新日期：2020-01-17

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