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In a recent paper [Phys. Rev. E {bf 104}, 024904] it was shown that mechanical strains in amorphous solids are screened via the formation of plastic events that are typically quadrupolar in nature. At low densities the screening effect is reminiscent of the role of dipoles in dielectrics, while the effect at high density has no immediate electrostatic analog, and is expected to change qualitatively the mechanical response, as seen for example in the displacement field. In this Letter we show that high-density screening results in undulating displacement field that strictly deviate from elasticity theory. We show that theoretical analysis, experimental measurements and numeric simulations of frictional granular amorphous assemblies are in agreement with each other and provide a strong support for the theory.
The mechanical response of naturally abundant amorphous solids such as gels, jammed grains, and biological tissues are not described by the conventional paradigm of broken symmetry that defines crystalline elasticity. In contrast, the response of suc
Spatial heterogeneity in the elastic properties of soft random solids is examined via vulcanization theory. The spatial heterogeneity in the emph{structure} of soft random solids is a result of the fluctuations locked-in at their synthesis, which als
We summarize current developments in the investigation of glassy matter using nonlinear dielectric spectroscopy. This work also provides a brief introduction into the phenomenology of the linear dielectric response of glass-forming materials and disc
Anomalous transport in a circular comb is considered. The circular motion takes place for a fixed radius, while radii are continuously distributed along the circle. Two scenarios of the anomalous transport, related to the reflecting and periodic angu
Inspired by spring-block models, we elaborate a minimal physical model of earthquakes which reproduces two main empirical seismological laws, the Gutenberg-Richter law and the Omori aftershock law. Our new point is to demonstrate that the simultaneou