从成核到渗流：系统尺寸与系统无序度的影响
统计力学
2021-12-03 v3
摘要
利用两个引导模型动力学的参数的连续变化——无序度强度与系统尺寸，构建了一维纤维束模型的相图。我们监测纤维断裂的连续事件以理解与之相关的空间关联。随着无序度强度增加，我们观察到三个 distinct 区域：(I) 成核——裂纹从特定核以极高空间关联性传播并导致全局失效；(II) 雪崩——断裂事件表现出前驱活动并伴有多次突发；(III) 渗流——断裂事件空间无关联，如同渗流过程。随着束尺寸增大，有利于成核失效。在热力学极限下，除非无序度强度无限高，否则我们仅观察到成核失效。
引用
@article{arxiv.2107.09979,
title = {From nucleation to percolation: the effect of system size and system disorder},
author = {Subhadeep Roy},
journal= {arXiv preprint arXiv:2107.09979},
year = {2021}
}
备注
I have combined this paper with another one and the whole manuscript is uploaded in Arxiv separately titled "From nucleation to percolation: the effect of system size when disorder and stress localization compete"