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Anomalous elasticity of disordered networks
arXiv - PHYS - Disordered Systems and Neural Networks Pub Date : 2022-09-09 , DOI: arxiv-2209.04237
Edan Lerner, Eran Bouchbinder

Continuum elasticity is a powerful tool applicable in a broad range of physical systems and phenomena. Yet, understanding how and on what scales material disorder may lead to the breakdown of continuum elasticity is not fully understood. We show, based on recent theoretical developments and extensive numerical computations, that disordered elastic networks near a critical rigidity transition, such as strain-stiffened fibrous biopolymer networks that are abundant in living systems, reveal an anomalous long-range elastic response below a correlation length. This emergent anomalous elasticity, which is non-affine in nature, is shown to feature a qualitatively different multipole expansion structure compared to ordinary continuum elasticity, and a slower spatial decay of perturbations. The potential degree of universality of these results, their implications (e.g. for cell-cell communication through biological extracellular matrices) and open questions are briefly discussed.

中文翻译:

无序网络的异常弹性

连续弹性是一种强大的工具,适用于广泛的物理系统和现象。然而,了解物质无序如何以及在多大程度上可能导致连续弹性的破坏尚不完全清楚。我们表明,基于最近的理论发展和广泛的数值计算,在临界刚度转变附近的无序弹性网络,例如在生命系统中丰富的应变强化纤维生物聚合物网络,揭示了低于相关长度的异常长程弹性响应. 这种涌现的反常弹性本质上是非仿射的,与普通的连续弹性相比,它具有质上不同的多极膨胀结构,并且扰动的空间衰减更慢。这些结果的潜在普遍性程度,
更新日期:2022-09-12
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