### Abstract

March, Perrot and Tosi [Mol. Phys. 93, 355 (1998)] proposed three structural integrals I
_{0}, I
_{1} and I
_{2} to account for the liquid-vapour critical point (LVCP) based on the virial expression for the pressure. The interrelations between these integrals are obtained from the universality of LVCP. We extend the work of March et al. and suggest another structural integral I
_{3}. We also provide analytical expressions for I
_{n} (n = 0, 1, 2, 3) for hard-core Yukawa fluids based on the series mean spherical approximation. The location of LVCP parameters versus the intermolecular potential range parameter is accurately calculated for three different equations of states. We find good agreement when compared with computer simulation results only for the compressibility equation of state within the mean density approximation. The universality of the critical compressibility ratio at the LVCP is discussed in detail.

Original language | English |
---|---|

Pages (from-to) | 495-503 |

Number of pages | 9 |

Journal | Physics and Chemistry of Liquids |

Volume | 50 |

Issue number | 4 |

DOIs | |

Publication status | Published - Jul 2012 |

### Fingerprint

### Keywords

- critical point parameters
- hard-core Yukawa fluids
- liquid-vapour equilibrium
- structural theory of critical point

### ASJC Scopus subject areas

- Electronic, Optical and Magnetic Materials
- Materials Chemistry
- Condensed Matter Physics
- Physical and Theoretical Chemistry

### Cite this

**Structural theory of liquid-vapour critical point with application to hard-core Yukawa fluids.** / Osman, S. M.; Ali, I.

Research output: Contribution to journal › Article

}

TY - JOUR

T1 - Structural theory of liquid-vapour critical point with application to hard-core Yukawa fluids

AU - Osman, S. M.

AU - Ali, I.

PY - 2012/7

Y1 - 2012/7

N2 - March, Perrot and Tosi [Mol. Phys. 93, 355 (1998)] proposed three structural integrals I 0, I 1 and I 2 to account for the liquid-vapour critical point (LVCP) based on the virial expression for the pressure. The interrelations between these integrals are obtained from the universality of LVCP. We extend the work of March et al. and suggest another structural integral I 3. We also provide analytical expressions for I n (n = 0, 1, 2, 3) for hard-core Yukawa fluids based on the series mean spherical approximation. The location of LVCP parameters versus the intermolecular potential range parameter is accurately calculated for three different equations of states. We find good agreement when compared with computer simulation results only for the compressibility equation of state within the mean density approximation. The universality of the critical compressibility ratio at the LVCP is discussed in detail.

AB - March, Perrot and Tosi [Mol. Phys. 93, 355 (1998)] proposed three structural integrals I 0, I 1 and I 2 to account for the liquid-vapour critical point (LVCP) based on the virial expression for the pressure. The interrelations between these integrals are obtained from the universality of LVCP. We extend the work of March et al. and suggest another structural integral I 3. We also provide analytical expressions for I n (n = 0, 1, 2, 3) for hard-core Yukawa fluids based on the series mean spherical approximation. The location of LVCP parameters versus the intermolecular potential range parameter is accurately calculated for three different equations of states. We find good agreement when compared with computer simulation results only for the compressibility equation of state within the mean density approximation. The universality of the critical compressibility ratio at the LVCP is discussed in detail.

KW - critical point parameters

KW - hard-core Yukawa fluids

KW - liquid-vapour equilibrium

KW - structural theory of critical point

UR - http://www.scopus.com/inward/record.url?scp=84864589383&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84864589383&partnerID=8YFLogxK

U2 - 10.1080/00319104.2011.620250

DO - 10.1080/00319104.2011.620250

M3 - Article

VL - 50

SP - 495

EP - 503

JO - Physics and Chemistry of Liquids

JF - Physics and Chemistry of Liquids

SN - 0031-9104

IS - 4

ER -