Equation of state for hard-spheres and excess function calculations of binary liquid mixtures |
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| Affiliation: | 1. Department of Mathematics, Landmark University, Omu-aran, Nigeria;2. Department of Mathematics, Lagos State Polytechnic, Ikorodu, Nigeria;3. Department of Mathematics, Vaagdevi College of Engineering, Warangal, India;4. Department of Mathematics, COMSATS University Islamabad, Sahiwal, Pakistan;1. Shenyang National Laboratory for Materials Science, Institute of Metal Research, Chinese Academy of Sciences, 72 Wenhua Road, Shenyang 110016, China;2. College of Material and Metallurgy, Northeastern University, No. 3-11, Wenhua Road, Shenyang 110819, China;3. Department of Materials Science and Engineering, Johns Hopkins University, Baltimore 21218, MD, USA;1. Department of Physics, East China Normal University, No. 500, Dongchuan Road, Shanghai 200241, People''s Republic of China;2. Key Laboratory for Computational Physical Sciences (MOE), State Key Laboratory of Surface Physics, Department of Physics, Fudan University, Shanghai 200433, People''s Republic of China;3. Collaborative Innovation Center of Advanced Microstructures, Nanjing University, 210093, People''s Republic of China;1. Department of Physics, Princeton University, Princeton, NJ 08544, USA;2. Department of Chemistry, Princeton University, Princeton, NJ 08544, USA;3. Princeton Institute for the Science and Technology of Materials, Princeton University, Princeton, NJ 08544, USA;4. Program in Applied and Computational Mathematics, Princeton University, Princeton, NJ 08544, USA |
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| Abstract: | ![]()
Using our previously proposed matrix method, an equation of state for hard spheres is presented, which can reproduce the exact values of the first-eight virial coefficients. This equation meets both the low density and the close-packed limits and can predicts the first order fluid–solid phase transition of hard spheres. The results obtained show that the new equation of state can correlate the simulation data of compressibility factor up to high densities better than other equations of state.The new equation of state is extended to mixtures of hard spheres and excess functions of various binary liquid mixtures are calculated using the perturbation theory of Leonard–Henderson–Barker. The results are compared with existing theoretical and experimental data and with those calculated by other hard-sphere equations of state.It is seen that the results obtained by the new equation of state is quite satisfactory compared to other equations of state for the hard spheres and mixture of hard spheres. |
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