English

Impulsive correction to the elastic moduli obtained using the stress-fluctuation formalism in systems with truncated pair potential

Soft Condensed Matter 2015-06-11 v1 Materials Science

Abstract

The truncation of a pair potential at a distance r_cut is well-known to imply in general an impulsive correction to the pressure and other moments of the first derivatives of the potential. That depending on r_cut the truncation may also be of relevance to higher derivatives is shown theoretically for the Born contributions to the elastic moduli obtained using the stress-fluctuation formalism in d dimensions. Focusing on isotropic liquids for which the shear modulus G must vanish by construction, the predicted corrections are tested numerically for binary mixtures and polydisperse Lennard-Jones beads in, respectively, d=3 and d=2 dimensions.

Keywords

Cite

@article{arxiv.1208.0465,
  title  = {Impulsive correction to the elastic moduli obtained using the stress-fluctuation formalism in systems with truncated pair potential},
  author = {H. Xu and J. P. Wittmer and P. Polińska and J. Baschnagel},
  journal= {arXiv preprint arXiv:1208.0465},
  year   = {2015}
}