### Abstract

This paper investigates the relation between the density-scaling exponent γ and the virial potentialenergy coefficient R at several thermodynamic state points in three dimensions for the generalized (2n, n) Lennard-Jones (LJ) system for n = 4, 9, 12, 18, as well as for the standard n = 6 LJ system in two, three, and four dimensions. The state points studied include many low-density states at which the virial potentialenergy correlations are not strong. For these state points we find the roughly linear relation γ ∼= 3n R/d in d dimensions. This result is discussed in light of the approximate “extended inverse power law” description of generalized LJ potentials (Bailey N P et al. 2008 J. Chem. Phys. 129 184508). In the plot of γ versus R there is in all cases a transition around R ≈ 0.9, above which γ starts to decrease as R approaches unity. This is consistent with the fact that γ → 2n/d for R → 1, a limit that is approached at high densities and/or high

temperatures at which the repulsive r−2n term dominates the physics.

temperatures at which the repulsive r−2n term dominates the physics.

Originalsprog | Engelsk |
---|---|

Tidsskrift | Journal of Chemical Sciences |

Vol/bind | 129 |

Udgave nummer | 7 |

Sider (fra-til) | 919-928 |

Antal sider | 11 |

ISSN | 0370-0089 |

DOI | |

Status | Udgivet - 2017 |

### Bibliografisk note

Important note from the Publisher regarding the linked version of the article (arXiv). “This is a post-peer-review, pre-copyedit version of an article published in Journal of Chemical Sciences. The final authenticated version is available online at: http://dx.doi.org/10.1007/s12039-017-1307-1”### Emneord

- Lennard-Jones type liquids
- isomorphs
- density scaling
- virial potential-energy correlations