### Abstract

A model classical fluid is constructed by assuming that the direct correlation function c(r - r′) is independent of any applied external field. Thermodynamic consistency requires that c(r - r′) ≥ 0, and permits explicit representation of the model by a many-body interaction potential. In the canonical ensemble, the model shows a phase transition to an infinite density condensed phase, but in the grand canonical ensemble only an anomalous transition to zero density vapor is found to stably exist.

Original language | English (US) |
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Pages (from-to) | 921-930 |

Number of pages | 10 |

Journal | Journal of Statistical Physics |

Volume | 42 |

Issue number | 5-6 |

DOIs | |

State | Published - Mar 1986 |

### Fingerprint

### Keywords

- density functional
- many-body forces
- Nonuniform fluid
- phase transition

### ASJC Scopus subject areas

- Mathematical Physics
- Physics and Astronomy(all)
- Statistical and Nonlinear Physics

### Cite this

*Journal of Statistical Physics*,

*42*(5-6), 921-930. https://doi.org/10.1007/BF01010452

**Some solvable models of nonuniform classical fluids.** / Percus, Jerome.

Research output: Contribution to journal › Article

*Journal of Statistical Physics*, vol. 42, no. 5-6, pp. 921-930. https://doi.org/10.1007/BF01010452

}

TY - JOUR

T1 - Some solvable models of nonuniform classical fluids

AU - Percus, Jerome

PY - 1986/3

Y1 - 1986/3

N2 - A model classical fluid is constructed by assuming that the direct correlation function c(r - r′) is independent of any applied external field. Thermodynamic consistency requires that c(r - r′) ≥ 0, and permits explicit representation of the model by a many-body interaction potential. In the canonical ensemble, the model shows a phase transition to an infinite density condensed phase, but in the grand canonical ensemble only an anomalous transition to zero density vapor is found to stably exist.

AB - A model classical fluid is constructed by assuming that the direct correlation function c(r - r′) is independent of any applied external field. Thermodynamic consistency requires that c(r - r′) ≥ 0, and permits explicit representation of the model by a many-body interaction potential. In the canonical ensemble, the model shows a phase transition to an infinite density condensed phase, but in the grand canonical ensemble only an anomalous transition to zero density vapor is found to stably exist.

KW - density functional

KW - many-body forces

KW - Nonuniform fluid

KW - phase transition

UR - http://www.scopus.com/inward/record.url?scp=0343473164&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0343473164&partnerID=8YFLogxK

U2 - 10.1007/BF01010452

DO - 10.1007/BF01010452

M3 - Article

VL - 42

SP - 921

EP - 930

JO - Journal of Statistical Physics

JF - Journal of Statistical Physics

SN - 0022-4715

IS - 5-6

ER -