Singular Coexistence-curve Diameters: Experiments and Simulations

Details Singular Coexistence-curve Diameters: Experiments and Simulations Singular Coexistence-curve Diameters: Experiments and Simulations

2005-07-15

arxiv.org/abs/cond-mat/0507369v1

Physics

Condensed Matter

Statistical Mechanics

9 pages and 4 figures

Scientific paper

10.1016/j.cplett.2005.07.105

Precise calculations of the coexistence-curve diameters of a hard-core square-we ll (HCSW) fluid and the restricted primitive model (RPM) electrolyte exhibit mar ked deviations from rectilinear behavior. The HCSW diameter displays a $|t|^{1- alpha}$ singularity that sets in sharply for $|t|\equiv |T-T_c|/T_c\lesssim 10^{-3}$; this compares favorably with extensive data for ${SF}_6$, also reflec ted in C$_2$H$_6$, N$_2$, etc. By contrast, the curvature of the RPM diameter va ries slowly over a wide range $|t|\lesssim 0.1$; this behavior mirrors observati ons for liquid alkali metals, specifically Rb and Cs. Amplitudes for the leading singular terms can be estimated numerically but their values cannot be taken li terally.

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