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Dependence of the liquid-vapor surface tension on the range of interaction: A test of the law of corresponding states

2008/07/01 by Patrick Grosfils, James F. Lutsko · 3 citations
Earth and Planetary Sciences · Engineering · Physics and Astronomy · #Advanced Thermodynamics and Statistical Mechanics #Phase Equilibria and Thermodynamics #cond-mat.soft #cond-mat.stat-mech #nanoparticles nucleation surface interactions

paper · pdf · doi:10.1063/1.3072156

published as J. Chem. Phys. 130, 054703 (2009) · 13 pages, 5 figures

arxiv created 2008/07/01 · openalex publication_date 2009/02/03 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

The validity of the principle of corresponding states is investigated for the case of a potential with more than one intrinsic length scale. The planar surface tension of coexisting liquid and vapor phases of a fluid of Lennard-Jones atoms is studied as a function of the range of the potential using both Monte Carlo simulations and density functional theory (DFT). The interaction range is varied from r(c)(*) = 2.5 to r(c)(*) = 6 and the surface tension is determined for temperatures ranging from T(*) = 0.7 up to the critical temperature in each case. The simulation results are consistent with previous studies and are shown to obey the law of corresponding states even though the potential has two intrinsic length scales. It is further shown that the corresponding states principle can also be used to enhance the accuracy of some, but not all, DFT calculations of the surface tension. The results show that most of the cutoff dependence of the surface tension can be explained as a result of changes in the cutoff-dependent phase diagram and that corresponding states can be a useful tool for explaining differences between theory and simulation.

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