English

The moment sum-rules for ionic liquids at criticality

Statistical Mechanics 2017-11-17 v1 Soft Condensed Matter Chemical Physics

Abstract

We discuss the first three well known moment charge-charge sum-rules for a general ionic liquid. For the special symmetric case of the Restricted Primitive Model, Das et al. [Phys. Rev. Lett. 107, 215701 (2011)] has recently discovered, through Monte Carlo simulations, that the Stillinger-Lovett or second-moment sum-rule fails at criticality. We critically discuss a possible explanation for this unexpected behavior. On the other hand the fourth-moment sum-rule turns out to be able to account for the results of the simulations at criticality.

Cite

@article{arxiv.1711.05830,
  title  = {The moment sum-rules for ionic liquids at criticality},
  author = {Riccardo Fantoni},
  journal= {arXiv preprint arXiv:1711.05830},
  year   = {2017}
}

Comments

12 pages, 1 figure, 1 table

R2 v1 2026-06-22T22:47:30.365Z