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The [[equations of state |equation of state]] (EOS) of the [[Lennard-Jones model]]. Lennard-Jones EOS are widely used &ndash; especially in soft matter physics. Lennard-Jones EOS are also often used as a point of departure for the development of models of complex fluids. A large number of Lennard-Jones EOS have been developed in the past. Several popular Lennard-Jones EOS for the fluid phases were systematically compared and evaluated to simulation data <ref name="Stephan">[https://doi.org/10.1016/j.fluid.2020.112772  Simon Stephan, Jens Staubach, Hans Hasse "Review and comparison of equations of state for the Lennard-Jones fluid", Fluid Phase Equilibria '''523''' pp. 112772 (2020)]</ref><ref>[https://doi.org/10.1007/s10765-020-02721-9  Simon Stephan, Ulrich K. Deiters "Characteristic Curves of the Lennard‑Jones Fluid" International Journal of Thermophysics '''41''' 147 pp. 112772 (2020)]</ref>. The one of Kolafa and Nezbeda was therein found to be the most robust and accurate Lennard-Jones EOS. Ref. <ref name="Stephan"></ref> gives a comprehensive review of EOS of the Lennard-Jones fluid. Overall, it was found that none of the presently available EOS gives a satisfactory description of the Lennard-Jones fluid, which makes the development of LJ EOS still an active field.
The [[equations of state |equation of state]] (EOS) of the [[Lennard-Jones model]]. Lennard-Jones EOS are widely used &ndash; especially in soft matter physics. Lennard-Jones EOS are also often used as a point of departure for the development of models of complex fluids. A large number of Lennard-Jones EOS have been developed in the past. Several popular Lennard-Jones EOS for the fluid phases were systematically compared and evaluated to simulation data <ref name="Stephan">[https://doi.org/10.1016/j.fluid.2020.112772  Simon Stephan, Jens Staubach, Hans Hasse "Review and comparison of equations of state for the Lennard-Jones fluid", Fluid Phase Equilibria '''523''' pp. 112772 (2020)]</ref><ref>[https://doi.org/10.1007/s10765-020-02721-9  Simon Stephan, Ulrich K. Deiters "Characteristic Curves of the Lennard‑Jones Fluid" International Journal of Thermophysics '''41''' 147 pp. 112772 (2020)]</ref>. The one of Kolafa and Nezbeda was therein found to be the most robust and accurate Lennard-Jones EOS. Ref. <ref name="Stephan"></ref> gives a comprehensive review of EOS of the Lennard-Jones fluid. Overall, it was found that none of the presently available EOS gives a satisfactory description of the Lennard-Jones fluid, which makes the development of LJ EOS still an active field.
==Johnson, Zollweg and Gubbins==
==Johnson, Zollweg and Gubbins==
Johnson, Zollweg and Gubbins <ref>[http://dx.doi.org/10.1080/00268979300100411 J. Karl Johnson, John A. Zollweg and Keith E. Gubbins "The Lennard-Jones equation of state revisited", Molecular Physics '''78''' pp. 591-618 (1993)]</ref> proposed an equation of state based on 33 parameters within a modified [[Benedict, Webb and Rubin equation of state]], which accurately reproduces the [[Density-temperature | vapour-liquid equilibrium]] curve.
Johnson et al <ref>[http://dx.doi.org/10.1080/00268979300100411 J. Karl Johnson, John A. Zollweg and Keith E. Gubbins "The Lennard-Jones equation of state revisited", Molecular Physics '''78''' pp. 591-618 (1993)]</ref> proposed an equation of state based on 33 parameters within a modified [[Benedict, Webb and Rubin equation of state]], which accurately reproduces the [[Density-temperature | vapor liquid equilibrium]] curve.
 
==Kolafa and Nezbeda==
==Kolafa and Nezbeda==
The Kolafa and Nezbeda equation of state <ref>[http://dx.doi.org/10.1016/0378-3812(94)80001-4  Jirí Kolafa, Ivo Nezbeda "The Lennard-Jones fluid: an accurate analytic and theoretically-based equation of state", Fluid Phase Equilibria '''100''' pp. 1-34 (1994)]</ref>
The Kolafa and Nezbeda equation of state <ref>[http://dx.doi.org/10.1016/0378-3812(94)80001-4  Jirí Kolafa, Ivo Nezbeda "The Lennard-Jones fluid: an accurate analytic and theoretically-based equation of state", Fluid Phase Equilibria '''100''' pp. 1-34 (1994)]</ref>
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