Calculating thermodynamic properties from perturbation theory: II. An analytic representation for the square-well chain fluid |
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Authors: | Bing-Jian Zhang Shiqiang Liang Yinghong Lu |
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Institution: | Department of Chemistry, Zhejiang University, Hangzhou 310027, PR China |
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Abstract: | An analytic representation of thermodynamic properties of the freely jointed square-well chain fluid is developed based on the thermodynamic perturbation theory of Barker–Henderson, Zhang and Weitheim. By using a real function expression for the radial distribution function and incorporating structural information for square-well monomer of TPT1 model, an analytic expression for the Helmholtz energy of square-well chain fluid is expanded from Zhang’s analytic expressions for thermodynamic properties of square-well monomer. The expression leads to good predictions of the compressibility factor, residual internal energy and constant-volume heat capacity for 4-mer, 8-mer and 16-mer square-well fluids when compared with the Monte Carlo (MC) simulation results. The incorporating structural information for square-well dimer of TPT-D model is also calculated. To obtain the constant-volume heat capacity needed, NVT MC simulations were performed. |
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Keywords: | Statistical mechanics Model Molecular simulation Equation of state Heat capacity |
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