Abstract
Nonaffinity is known to be an integral part of the response of amorphous solids. Its role is particularly relevant in particulate systems close to their jamming transition, where it dominates the elastic response. Thus, to determine the elastic properties of amorphous solids it is essential to rationalize the features of their nonaffine response. Via numerical simulations we investigate the relation between the non affine response and the vibrational properties of model amorphous materials. We show that, contrary to previous speculations, modes below the Boson peak are those mostly responsible for the nonaffine response.
Highlights
Crystalline solids are currently very well understood in terms of an ordered array of atoms that repeats itself in space
The situation is rather different in amorphous solids [1]
In a system of particles interacting through repulsive forces, such as granular materials [2, 3], nonaffinity might dominate the elastic response
Summary
Crystalline solids are currently very well understood in terms of an ordered array of atoms that repeats itself in space. When particles are packed at high density they form a solid able to resist shear and compression. We investigate the relation between the nonaffine response and the normal modes of the dynamical matrix [4], i.e., the Hessian or matrix of second derivatives of the potential respect to displacements of the particles.
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