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arXiv 2503.04028cond-mat.softcond-mat.mtrl-scicond-mat.stat-mech
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二维非晶与晶体固体中的应力-应力关联

Stress-stress correlations in two-dimensional amorphous and crystalline solids

Jimin Bai, Long-Zhou Huang, Jin Shang, Yun-Jiang Wang, Jie Zhang, Matteo Baggioli

AI总结:

本文用经典弹性理论结合实验与模拟数据,证明二维非晶固体与各向同性晶体固体在静态应力-应力关联上不可区分,且 pinch-point 奇点并非非晶独有,证实了静态应力关联的普适性。

摘要:

具有长程有序的晶体固体中的应力-应力关联可以通过弹性理论直接推导。相比之下,非晶固体的“涌现弹性”——即以底层无序结构为特征的刚性材料——难以在传统理论框架内直接解释。为应对这一挑战,张量规范理论最近被提出作为一种有前景的方法,用于描述无序固体的涌现弹性并预测其应力-应力关联。在这项工作中,我们采用经典弹性理论方法,并以实验和模拟数据为支撑,重新审视二维非晶与晶体固体中的这一问题。我们证明,就静态应力-应力关联而言,二维无序固体的响应与二维各向同性晶体固体的响应不可区分,并且能够被普通弹性理论很好地预测。此外,我们表明应力响应中 pinch-point 奇点的存在并非非晶固体的独有特征。我们的结果证实了先前关于晶体和非晶堆积中静态应力-应力关联具有普适特性的观察。

英文摘要:

Stress-stress correlations in crystalline solids with long-range order can be straightforwardly derived using elasticity theory. In contrast, the `emergent elasticity' of amorphous solids, rigid materials characterized by an underlying disordered structure, defies direct explanation within traditional theoretical frameworks. To address this challenge, tensor gauge theories have been recently proposed as a promising approach to describe the emergent elasticity of disordered solids and predict their stress-stress correlations. In this work, we revisit this problem in two-dimensional amorphous and crystalline solids by employing a canonical elasticity theory approach, supported by experimental and simulation data. We demonstrate that, with respect to static stress-stress correlations, the response of a 2D disordered solid is indistinguishable from that of a 2D isotropic crystalline solid and it is well predicted by vanilla elasticity theory. Moreover, we show that the presence of pinch-point singularities in the stress response is not an exclusive feature of amorphous solids. Our results confirm previous observations about the universal character of static stress-stress correlations in crystalline and amorphous packings.

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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