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Description
  • An improved two-dimensional (2D) equation of state is proposed on the basis of an expression from the scaled particle theory. For pure hard disks, the virial coefficients B3 - B15 are determined and compared with their pseudo-experimental values. The 2D compressibility factor, Z, of pure hard disks is evaluated from the improved equation of state (IEOS) and compared with Z from Henderson's relation and with simulation data. Similarly, Z of mixtures of hard disks with the diameter ratios sigma2/sigma1 =1,2,3,4,5 and 10 and mole fractions x1=0.5 and 0.25 were compared with the corresponding simulation data. A fair agreement was found in the case of pure fluid as well as the studied mixtures.Third and fourth virial coefficients of three types of convex figures - hard ellipses, hard spherocylinders and rectangles - were determined from IEOS and a fair agreement with pseudo-experiment was found. Next, the predictive capability of the considered IEOS was investigated for 2D hard prolatesphero-cylinder and systems of hard ellipses with three values of the aspect ratio, k=a/b, k= 2, 4 and 6 (where a,b denote semi-axes of an ellipse). The compressibility factor of the 2D-spherocylinders compared well with the MC data, in the case of hard ellipses, and the description is fair for the isotropic phase. DOI: 10.1080/00268976.2011.573508
  • An improved two-dimensional (2D) equation of state is proposed on the basis of an expression from the scaled particle theory. For pure hard disks, the virial coefficients B3 - B15 are determined and compared with their pseudo-experimental values. The 2D compressibility factor, Z, of pure hard disks is evaluated from the improved equation of state (IEOS) and compared with Z from Henderson's relation and with simulation data. Similarly, Z of mixtures of hard disks with the diameter ratios sigma2/sigma1 =1,2,3,4,5 and 10 and mole fractions x1=0.5 and 0.25 were compared with the corresponding simulation data. A fair agreement was found in the case of pure fluid as well as the studied mixtures.Third and fourth virial coefficients of three types of convex figures - hard ellipses, hard spherocylinders and rectangles - were determined from IEOS and a fair agreement with pseudo-experiment was found. Next, the predictive capability of the considered IEOS was investigated for 2D hard prolatesphero-cylinder and systems of hard ellipses with three values of the aspect ratio, k=a/b, k= 2, 4 and 6 (where a,b denote semi-axes of an ellipse). The compressibility factor of the 2D-spherocylinders compared well with the MC data, in the case of hard ellipses, and the description is fair for the isotropic phase. DOI: 10.1080/00268976.2011.573508 (en)
Title
  • Equation of state of hard disk and 2D convex bodies
  • Equation of state of hard disk and 2D convex bodies (en)
skos:prefLabel
  • Equation of state of hard disk and 2D convex bodies
  • Equation of state of hard disk and 2D convex bodies (en)
skos:notation
  • RIV/44555601:13440/11:43878463!RIV12-AV0-13440___
http://linked.open...avai/predkladatel
http://linked.open...avai/riv/aktivita
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  • P(IAA400720710)
http://linked.open...iv/cisloPeriodika
  • 12
http://linked.open...vai/riv/dodaniDat
http://linked.open...aciTvurceVysledku
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  • 197865
http://linked.open...ai/riv/idVysledku
  • RIV/44555601:13440/11:43878463
http://linked.open...riv/jazykVysledku
http://linked.open.../riv/klicovaSlova
  • Helmholtz energy; Compressibility factor; Surface density; Non-circular parameter; Virial coefficient; 2D hard spherocylinder; Ellipse; Disk; Equation of state (en)
http://linked.open.../riv/klicoveSlovo
http://linked.open...odStatuVydavatele
  • GB - Spojené království Velké Británie a Severního Irska
http://linked.open...ontrolniKodProRIV
  • [72C998803D96]
http://linked.open...i/riv/nazevZdroje
  • Molecular Physics
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http://linked.open...vavai/riv/projekt
http://linked.open...UplatneniVysledku
http://linked.open...v/svazekPeriodika
  • 109
http://linked.open...iv/tvurceVysledku
  • Boublík, Tomáš
http://linked.open...ain/vavai/riv/wos
  • 000291462400005
issn
  • 0026-8976
number of pages
http://bibframe.org/vocab/doi
  • 10.1080/00268976.2011.573508
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  • 13440
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