Analysis of spatial correlations in a model 2D liquid through eigenvalues and eigenvectors of atomic level stress matrices
arXiv:1504.05658 · doi:10.1103/PhysRevE.93.012602
Abstract
Considerations of local atomic level stresses associated with each atom represent a particular approach to address structures of disordered materials at the atomic level. We studied structural correlations in a two-dimensional model liquid using molecular dynamics simulations in the following way. We diagonalized the atomic level stress tensors of every atom and investigated correlations between the eigenvalues and orientations of the eigenvectors of different atoms as a function of distance between them. It is demonstrated that the suggested approach can be used to characterize structural correlations in disordered materials. In particular, we found that changes in the stress correlation functions on decrease of temperature are the most pronounced for the pairs of atoms with separation distance that corresponds to the first minimum in the pair density function. We also show that the angular dependencies of the stress correlation functions previously reported in [Phys. Rev. E v.91, 032301 (2015)] related not to the alleged anisotropies of the Eshelby's stress fields, but to the rotational properties of the stress tensors.
14 pages, 9 figures
References in corpus (4)
- Plastic Response of a 2D Lennard-Jones amorphous solid: Detailed analysis of the local rearrangements at very slow strain-rate
- Time dependent elastic response to a local shear transformation in amorphous solids
- On the study of local stress rearrangements during quasistatic plastic shear of a model glass: do local stress components contain enough information?
- Dependence of the Atomic Level Green-Kubo Stress Correlation Function on Wavevector and Frequency. Molecular Dynamics Results from a Model Liquid