Condensed Matter Physics, 2011, vol. 14, No. 3, 33005: 1-11
DOI:10.5488/CMP.14.33005           arXiv:1202.4262

Title: Mean spherical approximation for the Lennard-Jones-like two Yukawa model: Comparison against Monte Carlo data
Author(s):
  J. Krejčí (Faculty of Science, J. E. Purkinje University, 400 96 Ústí nad Labem, Czech Republic`),
  I. Nezbeda (Faculty of Science, J. E. Purkinje University, 400 96 Ústí nad Labem, Czech Republic;
E. Hála Laboratory of Thermodynamics, ICPF, Acad. Sci., 165 02 Prague 6 - Suchdol, Czech Republic ),
  R. Melnyk (Institute for Condensed Matter Physics, National Academy of Sciences of Ukraine, Lviv, Ukraine),
  A. Trokhymchuk (Institute for Condensed Matter Physics, National Academy of Sciences of Ukraine, Lviv, Ukraine; Department of Chemistry and Biochemistry, Brigham Young University, Provo, UT 84602, USA),

Monte Carlo simulation studies are performed for the Lennard-Jones like two Yukawa (LJ2Y) potential to show how properties of this model fluid depend on the replacement of the soft repulsion by the hard-core repulsion. Different distances for the positioning of hard core have been explored. We have found, that for temperatures that are slightly lower and slightly higher of the critical point temperature for the Lennard-Jones fluid, placing the hard core at distances that are shorter than zero-potential energy is well justified by thermodynamic properties that are practically the same as in original LJ2Y model without hard core. However, going to extreme conditions with the high temperature one should be careful since presence of the hard core provokes changes in the properties of the system. The later is extremely important when the mean spherical approximation (MSA) theory is applied to treat the Lennard-Jones-like fluid.

Key words: two Yukawa potential, Lennard-Jones fluid, mean spherical approximation, Monte Carlo simulations
PACS: 01.65Q


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