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arXiv 2504.06321cond-mat.stat-mech
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二维颗粒动力学中的自组织、细致平衡与应力-结构关联

Self-organization, detailed balance, and stress-structure correlations in 2D granular dynamics

Raphael Blumenfeld, Takashi Matsushima, Jie Zhang

AI总结:

本文基于实验与数值观测揭示准静态颗粒动力学中存在协同应力-结构自组织,并据此提出一种纳入该自组织的新统计力学表述,以解释细致平衡稳态及应力-结构关联等现象。

摘要:

我们认为,近期一系列实验和数值观测表明,在准静态颗粒动力学中存在一种持续的协同应力-结构自组织(SO)。这些观测包括:a) 某些量对细节不敏感的坍缩现象;b) 沉降堆积体中应力与结构之间的关联以及熵-稳定性竞争的证据,这些证据对大多数颗粒材料线性应力理论提出了质疑;c) 满足细致平衡的稳态,这看似与“只有处于热平衡的系统才满足细致平衡”的普遍认识相矛盾,但正如我们所解释的,实际上并不矛盾。在此基础上,我们提出了一种新的统计力学表述,将这种协同自组织纳入考虑。

英文摘要:

We argue that a number of recent experimental and numerical observations point to an ongoing cooperative stress-structure self-organisation (SO) in quasi-static granular dynamics. These observations include: a) detail-insensitive collapses of certain quantities; b) correlations between stress and structure and evidence of entropy-stability competition in settled packings, which cast doubt on most linear stress theories of granular materials; c) detailed balanced steady states, which seem contradictory to the common belief that only systems in thermal equilibrium satisfy detailed balance, but are not, as we explain. We then propose a new statistical mechanical formulation that takes into account the cooperative SO.

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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