Effect of the attractive forces on the density change melting of 2D LJ fluids |
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| Institution: | 1. Department of Physics, University of Extremadura, 06071 Badajoz, Spain;2. Institute of Mathematics, University of Wroclaw, Pl. Grunwaldzki 2/4, 50-384 Wroclaw, Poland;1. Department of Mathematics, Quaid-I-Azam University, 45320 Islamabad 44000, Pakistan;2. Nonlinear Analysis and Applied Mathematics (NAAM) Research Group, Department of Mathematics, Faculty of Science, King Abdulaziz University, P.O. Box 80257, Jeddah 21589, Saudi Arabia;1. Université Paris-Est, Laboratoire Géomatériaux et Environnement (EA 4508), UPEM, 5 Bd Descartes, Cedex 2, 77454 Marne-la-Vallée, France;2. Chemistry Department of Natural Sciences Faculty, Europe University of Prishtina, rr. “Nëna Tereze” nr. 5, 10 000 Prishtina, Republic of Kosovo;3. Univ Paris Diderot, Sorbonne Paris Cité, ITODYS, UMR 7086 CNRS, 15 rue J-A de Baïf, 75205 Paris, Cedex 13, France |
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| Abstract: | The Weeks-Chandler-Andersen perturbation theory of fluids can be considered as a modern version of van der Waals'. Whereas in the old van der Waals theory the effect of the attractive forces on the thermodynamic properties is introduced through a constant, a, in Weeks-Chandler-Andersen theory this constant is replaced by a function of temperature and density α(β, ϱ). This function has been determined by means of Molecular Dynamics simulation of a two-dimensional Lennard-Jones fluid, and here is used to analyse the effect of attractive forces on the density change in melting. The influence is found to be slightly greater than the predictions of van der Waals theory. |
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