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arXiv 1609.00280cond-mat.soft
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突现SO(3)无扰动剪切干扰转捩的对称性

Emergent SO(3) Symmetry of the Frictionless Shear Jamming Transition

Marco Baity-Jesi, Carl P. Goodrich, Andrea J. Liu, Sidney R. Nagel, James P. Sethna

摘要:

研究了无热无摩擦软球的剪切卡住问题,发现在热力学极限下,存在一种弹性性质不同于各向同性卡住状态的剪切卡住状态。例如,剪切堵塞状态可以具有在热力学极限中的非零残余剪切应力,其由长程应力-应力相关性引起。结果,剪切模量和体积模量的比率,在各向同性堵塞系统中,随着从上方接近堵塞过渡而消失,而是接近常数。尽管有这些惊人的差异,我们认为,在更深的意义上,剪切干扰和各向同性干扰过渡实际上有相同的对称性,并通过旋转弹性模量张量的六维基础,可以充分理解的差异。

英文摘要:

We study the shear jamming of athermal frictionless soft spheres, and find that in the thermodynamic limit, a shear-jammed state exists with different elastic properties from the isotropically-jammed state. For example, shear-jammed states can have a non-zero residual shear stress in the thermodynamic limit that arises from long-range stress-stress correlations. As a result, the ratio of the shear and bulk moduli, which in isotropically-jammed systems vanishes as the jamming transition is approached from above, instead approaches a constant. Despite these striking differences, we argue that in a deeper sense, the shear jamming and isotropic jamming transitions actually have the same symmetry, and that the differences can be fully understood by rotating the six-dimensional basis of the elastic modulus tensor.

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