The calculation of singular points in the supercritical region for a system with a Lennard—Jones interaction potential

作者: P. N. Nikolaev

DOI: 10.3103/S0027134916010148

关键词: Critical point (thermodynamics)Mathematical analysisPhase transitionVirial coefficientSupercritical fluidVirial theoremMathematicsThermodynamicsMonotonic functionInteraction potentialGeneral Physics and Astronomy

摘要: In this work the positions of critical point, supercritical and maximum fluctuation point in a isotherm were found for system with Lennard—Jones interaction potential. Virial coefficients methods based on accelerated convergence perturbation-theory series, which are well known such systems, used. The results compared computer-simulation data. As has been established, if one uses positively defined Weeks—Chandler—Andersen potential as reference system, calculated parameters tend monotonically to exact values function number virial coefficients. This decomposition is favorably different from one, where aspiration not monotonic. These indicate that method makes it possible determine three vertices triangle an accuracy comparable simulated experiment.

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