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arXiv 2607.17549cond-mat.softcond-mat.stat-mech

从无序到完美晶体秩序极限的通用阻塞临界性和自组织原理

Universal Jamming Criticality and Self-Organizing Principles from Disorder to the Limit of Perfect Crystalline Order

Jianhua Zhang, Jiaqi Si, Ning Xu, Hua Tong

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中文总结 AI 辅助

研究聚焦弹性阻塞堆积,系统调结构揭示通用特性,证明力学性能受阻塞临界性支配,发现配位数分布等,为无序固体刚性提出组织机制,强调阻塞物理相关性并补充自组织原理。

中文摘要 AI 辅助

晶体由周期性秩序定义,而非晶态固体因其无序、多样和非平衡结构,其性质仍难以捉摸。本文聚焦于弹性阻塞堆积,系统地将结构从晶体态调至完全无序态,以揭示其通用的潜在特性。我们证明其力学性能普遍受阻塞临界性支配,在阻塞转变附近具有特征标度行为,除了奇异的密排点。这是由接触层面无序产生的随机非仿射弹性促成的。因此,阻塞密度可接近密排,表明阻塞临界性与玻璃转变物理之间存在基本解耦。此外,我们在边缘阻塞态中发现了通用的配位数分布和接触超均匀性,与粒子层面结构无关。这些发现为无序固体中涌现的刚性提出了一种通用的组织机制,强调了阻塞物理的广泛相关性,并补充了机械自组织原理。

英文摘要

While crystals are defined by periodic order, the nature of amorphous solids remains elusive due to their disordered, diverse, and nonequilibrium structures. Here, we focus on jammed elastic packings and systematically tune structure from crystalline to fully disordered to unveil the universal underlying characteristics. We demonstrate that their mechanical properties are universally governed by jamming criticality, featuring characteristic scaling behaviors near the jamming transition, excepting the singular close-packed point. This is facilitated by random nonaffine elasticity arising from contact-level disorder. Consequently, the jamming density can approach close packing, suggesting a fundamental decoupling between jamming criticality and the glass transition physics. Moreover, we uncover a universal coordination-number distribution and contact hyperuniformity in marginally jammed states, independent of particle-level structure. These findings suggest a general organizing mechanism for emergent rigidity in disordered solids, underscore the broad relevance of jamming physics, and complement principles of mechanical self-organization.

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