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Yang-Yang Anomalies and Coexistence Diameters: Simulation of Asymmetric Fluids

Young C. Kim
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Abstract

A general method for estimating the Yang-Yang ratio, ${\cal R}_μ$, and the coexistence-curve diameter of a model fluid via Monte Carlo simulations is presented on the basis of data for a hard-core square-well (HCSW) fluid and the restricted primitive model (RPM) electrolyte. The isothermal minima of $Q_{L}\equiv< m^{2}>^{2}_{L}/< m^{4}>_{L}$ are evaluated at $T_{c}$ in an $L\times L\times L$ box where $m = ρ- <ρ>_{L}$ is the density fluctuation. The ``complete'' finite-size scaling theory for the $Q_{\scriptsize min}^{\pm}(T_{c};L)$ incorporates pressure mixing in the scaling fields, thereby allowing for a Yang-Yang anomaly.

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Young C. Kim. 2005-03-18. Yang-Yang Anomalies and Coexistence Diameters: Simulation of Asymmetric Fluids. https://doi.org/10.1103/physreve.71.051501

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