ﻻ يوجد ملخص باللغة العربية
We show that the low-frequency regime of the density of states of structural glass formers is crucially sensitive to the stress-ensemble from which the configurations are sampled. Specifically, in two dimensions, an exactly isotropic ensemble with zero shear stress fluctuations, displays a $D(omega_{min}) sim omega^{5}_{min}$ regime, as opposed to the $omega^{4}_{min}$ regime observed under unstrained conditions. We also study an ensemble of strained amorphous solids near a plastic event. We show that the minimum eigenvalue distribution at a strain $gamma$ near the plastic event occurring at $gamma_{P}$, displays a collapse when scaled by $sqrt{gamma_P - gamma}$, and with the number of particles as $N^{-0.22}$. Notably, at low-frequencies, this scaled distribution displays a robust $D(omega_{min}) sim omega^{6}_{min}$ power-law regime, which survives in the large $N$ limit. Finally, we probe the universal properties of this ensemble through a characterization of the second and third eigenvalues of the Hessian matrix near a plastic event.
Sound attenuation in low temperature amorphous solids originates from their disordered structure. However, its detailed mechanism is still being debated. Here we analyze sound attenuation starting directly from the microscopic equations of motion. We
Mechanical deformation of amorphous solids can be described as consisting of an elastic part in which the stress increases linearly with strain, up to a yield point at which the solid either fractures or starts deforming plastically. It is well estab
Recent numerical studies on glassy systems provide evidences for a population of non-Goldstone modes (NGMs) in the low-frequency spectrum of the vibrational density of states $D(omega)$. Similarly to Goldstone modes (GMs), i. e., phonons in solids, N
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
We study a recently introduced and exactly solvable mean-field model for the density of vibrational states $mathcal{D}(omega)$ of a structurally disordered system. The model is formulated as a collection of disordered anharmonic oscillators, with ran