### Abstract

The mean spherical model of a classical fluid in thermal equilibrium is taken as prototype for fluids defined by their distribution of point density. An external potential Boltzmann factor applied to a reference, so defined, then produces the effect of the field on the reference. In this paper, the reference distribution is required only to reproduce the singlet and pair densities of the unperturbed fluid under study. For this purpose, the distribution can be borrowed from any many-body system, classical or quantum. Major attention is paid to elementary quantum models sufficiently parametrized to, in principle, match the desired mean singlet and pair densities. Included are independent Fermion models, independent Boson models, and those with a suitably defined intermediate statistics, whose use however involves an assertion whose range of validity is not known. An example of this mixed strategy is presented.

Original language | English (US) |
---|---|

Pages (from-to) | 1243-1251 |

Number of pages | 9 |

Journal | Molecular Physics |

Volume | 109 |

Issue number | 7-10 |

DOIs | |

State | Published - Apr 2011 |

### Fingerprint

### Keywords

- Intermediate statistics
- Mean spherical model
- Non-uniform fluid

### ASJC Scopus subject areas

- Physical and Theoretical Chemistry
- Condensed Matter Physics
- Biophysics
- Molecular Biology

### Cite this

*Molecular Physics*,

*109*(7-10), 1243-1251. https://doi.org/10.1080/00268976.2011.554900

**Confined fluids - Variations on a mean spherical themey.** / Percus, Jerome.

Research output: Contribution to journal › Article

*Molecular Physics*, vol. 109, no. 7-10, pp. 1243-1251. https://doi.org/10.1080/00268976.2011.554900

}

TY - JOUR

T1 - Confined fluids - Variations on a mean spherical themey

AU - Percus, Jerome

PY - 2011/4

Y1 - 2011/4

N2 - The mean spherical model of a classical fluid in thermal equilibrium is taken as prototype for fluids defined by their distribution of point density. An external potential Boltzmann factor applied to a reference, so defined, then produces the effect of the field on the reference. In this paper, the reference distribution is required only to reproduce the singlet and pair densities of the unperturbed fluid under study. For this purpose, the distribution can be borrowed from any many-body system, classical or quantum. Major attention is paid to elementary quantum models sufficiently parametrized to, in principle, match the desired mean singlet and pair densities. Included are independent Fermion models, independent Boson models, and those with a suitably defined intermediate statistics, whose use however involves an assertion whose range of validity is not known. An example of this mixed strategy is presented.

AB - The mean spherical model of a classical fluid in thermal equilibrium is taken as prototype for fluids defined by their distribution of point density. An external potential Boltzmann factor applied to a reference, so defined, then produces the effect of the field on the reference. In this paper, the reference distribution is required only to reproduce the singlet and pair densities of the unperturbed fluid under study. For this purpose, the distribution can be borrowed from any many-body system, classical or quantum. Major attention is paid to elementary quantum models sufficiently parametrized to, in principle, match the desired mean singlet and pair densities. Included are independent Fermion models, independent Boson models, and those with a suitably defined intermediate statistics, whose use however involves an assertion whose range of validity is not known. An example of this mixed strategy is presented.

KW - Intermediate statistics

KW - Mean spherical model

KW - Non-uniform fluid

UR - http://www.scopus.com/inward/record.url?scp=79957818874&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=79957818874&partnerID=8YFLogxK

U2 - 10.1080/00268976.2011.554900

DO - 10.1080/00268976.2011.554900

M3 - Article

AN - SCOPUS:79957818874

VL - 109

SP - 1243

EP - 1251

JO - Molecular Physics

JF - Molecular Physics

SN - 0026-8976

IS - 7-10

ER -