Note: Simple argument for emergent anisotropic stress correlations in disordered solids

Abstract

It is now well-established that mechanical equilibrium in athermal disordered solids gives rise to anisotropic spatial correlations of the coarse-grained stress field that decay in space as $1/r^d$, where $r$ is the distance from the origin, and $d$ denotes the spatial dimension. In this note we present a simple, geometry based argument for the scaling form of the emergent spatial correlations of the stress field in disordered solids.

arXiv comment2 pages, no figures. v2: expanded discussion

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Cited by in corpus (4)

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• Long-Range Correlations in Elastic Moduli and Local Stresses at the Unjamming Transition
• Stress-stress correlations in two-dimensional amorphous and crystalline solids