# Publication: Modified Free Volume Theory of Self-Diffusion and Molecular Theory of Shear Viscosity of Liquid Carbon Dioxide

All || By Area || By YearTitle | Modified Free Volume Theory of Self-Diffusion and Molecular Theory of Shear Viscosity of Liquid Carbon Dioxide |
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Authors/Editors* | Afshin Eskandari Nasrabad, Rozita Laghaei, and Byung Chan Eu |

Where published* | Journal of Physical Chemistry B |

How published* | Journal |

Year* | 2005 |

Volume | 109 |

Number | 0 |

Pages | 8171 |

Publisher | xxxxx |

Keywords | |

Link | |

Abstract |
In the previous work on the density fluctuation theory of transport coefficients of liquids it was necessary to use empirical self-diffusion coefficients to calculate the transport coefficients (e.g., shear viscosity of carbon dioxide). In this work, the necessity of empirical input of the self-diffusion coefficients in the calculation of shear viscosity is removed and the theory is thus made a self-contained molecular theory of transport coefficients of liquids, albeit it contains an empirical parameter in the subcritical regime. The required self-diffusion coefficients of liquid carbon dioxide are calculated by using the modified free volume theory for which the generic van der Waals equation of state and Monte Carlo simulations are combined to accurately compute the mean free volume by means of statistical mechanics. They have been computed as a function of density along four different isotherms and isobars. A Lennard-Jones siteĀsite interaction potential was used to model the molecular carbon dioxide interaction in a site-site interaction model. The density and temperature dependence of the theoretical self-diffusion coefficients are shown in excellent agreement with experimental data when the minimum critical free volume is identified with the molecular volume. The self-diffusion coefficients thus computed are then used to compute the density and temperature dependence of the shear viscosity of liquid carbon dioxide by employing the density fluctuation theory formula for shear viscosity reported in an earlier paper [J. Chem. Phys. 112, 7118 (2000)]. The theoretical shear viscosity is shown to be robust and yields excellent density and temperature dependence for carbon dioxide. The pair correlation function appearing in the theory has been computed by Monte Carlo simulations. |

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