Equations of state for the hard disk fluids

Abstract

By using the published accurate new virial coefficients B₁₁∼B₁₄ for the hard disk fluids [C. Zhang and B.M. Pettitt, Mol. Phys., 2014, 112, 1427], we here propose a new updated version of Tian-Gui-Mulero equation of state [J.X. Tian, Y.X. Gui and A. Mulero, Phys. Chem. Chem. Phys., 2010, 12, 13597]. Compared with other proposals, the new version stands strongly to be the only which can reproduce the known virial coefficients B₂∼B₁₃ at the same time that can describe the relation of the compressibility factor versus the packing fraction for the hard disk fluids with high accuracy.

GRAPHICAL ABSTRACT

KEYWORDS:

• Hard disk fluid
• equation of state
• virial coefficients
• compressibility factor

Disclosure statement

No potential conflict of interest was reported by the authors.

Additional information

Funding

The National Natural Science Foundation of China under grant number 11274200, the Natural Science Foundation of Shandong Province under grant number ZR2011AM017 and the foundations of QFNU and DUT have supported this work. A. M. thanks the ‘Junta de Extremadura’ and European Regional Development Fund (FEDER) for financial support through project GR18081, and the ‘Ministerio de Ciencia, Innovación y Universidades’ and FEDER for financial support through project PGC2018-098418-B-I00.