Continuum limit of amorphous elastic bodies (III): Three dimensional systems
Abstract
Extending recent numerical studies on two dimensional amorphous bodies, we characterize the approach of elastic continuum limit in three dimensional (weakly polydisperse) Lennard-Jones systems. While performing a systematic finite-size analysis (for two different quench protocols) we investigate the non-affine displacement field under external strain, the linear response to an external delta force and the low-frequency harmonic eigenmodes and their density distribution. Qualitatively similar behavior is found as in two dimensions. We demonstrate that the classical elasticity description breaks down below an intermediate length scale , which in our system is approximately 23 molecular sizes. This length characterizes the correlations of the non-affine displacement field, the self-averaging of external noise with distance from the source and gives the lower wave length bound for the applicability of the classical eigenfrequency calculations. We trace back the "Boson-peak" of the density of eigenfrequencies (obtained from the velocity auto-correlation function) to the inhomogeneities on wave lengths smaller than .
Keywords
Cite
@article{arxiv.cond-mat/0505610,
title = {Continuum limit of amorphous elastic bodies (III): Three dimensional systems},
author = {F. Léonforte and R. Boissière and A. Tanguy and J. P. Wittmer and J. -L. Barrat},
journal= {arXiv preprint arXiv:cond-mat/0505610},
year = {2016}
}
Comments
27 pages, 11 figures, submitted to Phys. Rev. B