### Abstract

The distribution factor f^{(3)} for triplets of mutual nearest neighbors offers a description of local order. A self-consistent theory for f^{(3)} for classical rigid disk model is proposed. Numerical analysis of the coupled integral equations yields prediction for pressure and boundary tension. The approximation used constrains the disk system to remain in the fluid phase at all densities. The pressure and the boundary tension agree with the corresponding predictions of the two-dimensional scaled particle theory.

Original language | English (US) |
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Pages (from-to) | 10186-10190 |

Number of pages | 5 |

Journal | Journal of Chemical Physics |

Volume | 113 |

Issue number | 22 |

DOIs | |

State | Published - Dec 8 2000 |

### All Science Journal Classification (ASJC) codes

- Physics and Astronomy(all)
- Physical and Theoretical Chemistry

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## Cite this

Stillinger, F. H., Stillinger, D. K., Torquato, S., Truskett, T. M., & Debenedetti, P. G. (2000). Equation of state of the rigid disk fluid from its triangle distribution.

*Journal of Chemical Physics*,*113*(22), 10186-10190. https://doi.org/10.1063/1.1322361