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arXiv 1609.09265cond-mat.soft
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二维非热非晶态固体中的反常应力涨落

Anomalous Stress Fluctuations in Athermal Two Dimensional Amorphous Solids

Yegang Wu, Kamran Karimi, Craig E. Maloney, S. Teitel

摘要:

我们数值研究了局部应力分布在非热,各向同性应力,机械稳定,包装的双分散无摩擦磁盘以上的堵塞过渡在两个维度。考虑到傅立叶变换的局部应力,我们发现的证据代数增加波动的各向同性和各向异性分量的应力张量在小波数,最近的理论预测相反。这种增加的波动意味着在大尺度上应力缺乏自平均。这些增加的波动的交叉定义了长度尺度$\ell_0$,然而,看起来$\ell_0$不随填充分数$ϕ$变化太多,当$ϕ$接近阻塞$ϕ_J$时,$\ell_0$也不发散。我们还发现类似的大长度尺度的波动的应力在淬火的Lennard-Jones液体的固有状态,使我们推测,这种波动可能是一个一般性质的非晶态固体在两个维度。

英文摘要:

We numerically study the local stress distribution within athermal, isotropically stressed, mechanically stable, packings of bidisperse frictionless disks above the jamming transition in two dimensions. Considering the Fourier transform of the local stress, we find evidence for algebraically increasing fluctuations in both isotropic and anisotropic components of the stress tensor at small wavenumbers, contrary to recent theoretical predictions. Such increasing fluctuations imply a lack of self-averaging of the stress on large length scales. The crossover to these increasing fluctuations defines a length scale $\ell_0$, however it appears that $\ell_0$ does not vary much with packing fraction $ϕ$, nor does $\ell_0$ seem to be diverging as $ϕ$ approaches the jamming $ϕ_J$. We also find similar large length scale fluctuations of stress in the inherent states of a quenched Lennard-Jones liquid, leading us to speculate that such fluctuations may be a general property of amorphous solids in two dimensions.

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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