Equation of state of the rigid disk fluid from its triangle distribution

Frank H. Stillinger; Dorothea K. Stillinger; Salvatore Torquato; Thomas M. Truskett; Pablo G. Debenedetti

doi:10.1063/1.1322361

Equation of state of the rigid disk fluid from its triangle distribution

Frank H. Stillinger, Dorothea K. Stillinger, Salvatore Torquato, Thomas M. Truskett, Pablo G. Debenedetti

Research output: Contribution to journal › Article › peer-review

8 Scopus citations

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)
Pages (from-to)	10186-10190
Number of pages	5
Journal	Journal of Chemical Physics
Volume	113
Issue number	22
DOIs	https://doi.org/10.1063/1.1322361
State	Published - Dec 8 2000

All Science Journal Classification (ASJC) codes

General Physics and Astronomy
Physical and Theoretical Chemistry

Access to Document

10.1063/1.1322361

Cite this

@article{fc9e505693204361b6a492c278e60718,

title = "Equation of state of the rigid disk fluid from its triangle distribution",

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.",

author = "Stillinger, {Frank H.} and Stillinger, {Dorothea K.} and Salvatore Torquato and Truskett, {Thomas M.} and Debenedetti, {Pablo G.}",

year = "2000",

month = dec,

day = "8",

doi = "10.1063/1.1322361",

language = "English (US)",

volume = "113",

pages = "10186--10190",

journal = "Journal of Chemical Physics",

issn = "0021-9606",

publisher = "American Institute of Physics",

number = "22",

}

TY - JOUR

T1 - Equation of state of the rigid disk fluid from its triangle distribution

AU - Stillinger, Frank H.

AU - Stillinger, Dorothea K.

AU - Torquato, Salvatore

AU - Truskett, Thomas M.

AU - Debenedetti, Pablo G.

PY - 2000/12/8

Y1 - 2000/12/8

N2 - 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.

AB - 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.

UR - http://www.scopus.com/inward/record.url?scp=0034511470&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0034511470&partnerID=8YFLogxK

U2 - 10.1063/1.1322361

DO - 10.1063/1.1322361

M3 - Article

AN - SCOPUS:0034511470

SN - 0021-9606

VL - 113

SP - 10186

EP - 10190

JO - Journal of Chemical Physics

JF - Journal of Chemical Physics

IS - 22

ER -

Equation of state of the rigid disk fluid from its triangle distribution

Abstract

All Science Journal Classification (ASJC) codes

Access to Document

Other files and links

Fingerprint

Cite this