**Analysis of spatial correlations in a model two-dimensional liquid
through eigenvalues and eigenvectors of atomic-level stress matrices**

VA Levashov and MG Stepanov, PHYSICAL REVIEW E, 93, 012602 (2016).

DOI: 10.1103/PhysRevE.93.012602

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 tensor 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 by Wu et al. **Phys. Rev. E 91, 032301 ( 2015)** do not represent
the anisotropic Eshelby's stress fields, as it is suggested, but
originate in the rotational properties of the stress tensors.

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