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The moment sum-rules for ionic liquids at criticality

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  • Fantoni, Riccardo

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, Kim, and Fisher (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.

Suggested Citation

  • Fantoni, Riccardo, 2017. "The moment sum-rules for ionic liquids at criticality," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 477(C), pages 187-194.
    • Handle: RePEc:eee:phsmap:v:477:y:2017:i:c:p:187-194
    DOI: 10.1016/j.physa.2017.02.064
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