Study on analytical solutions and their simplification for one-component multi-Yukawa fluids and test by Monte-Carlo simulation

Abstract

Using the mean spherical approximation, an explicit analytical equation of state with non-dimensional variables for one-component multi-Yukawa fluids is established based on the work of Blum and Ubriaco. Two simplified calculation methods (one is the linear summation method and the other is the negligible entropy method) are proposed. The compressibility factors for one-component 1–4 Yukawa fluids are simulated with the Monte-Carlo method. Comparisons between various methods under different range parameters are listed and discussed for 1–4 Yukawa fluids. These indicate that our methods are reliable for a wide range of parameters and can be used conveniently.

Acknowledgments

The authors appreciate the financial support of this research by the Fundamental Research Fund of Tsinghua University in China (No. JZ 2002003) and the National 973 Project in China (No. 2003CB615701).