Alder-Hoover-Young hard disk equation of state: Difference between revisions
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Carl McBride (talk | contribs) (New page: {{Numeric}} The '''Alder-Hoover-Young''' hard disk equation of state is given by (Ref. 1 Eq. 1) :<math>Z = \frac{pV}{Nk_BT} = \frac{D}{\alpha}+ C_0 + C_1\alpha</math> where...) |
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The '''Alder-Hoover-Young''' [[Hard disks |hard disk]] equation of state is given by (Ref. 1 Eq. 1) | The '''Alder-Hoover-Young''' [[Hard disks |hard disk]] equation of state is given by (Ref. 1 Eq. 1) | ||
:<math>Z = \frac{pV}{Nk_BT} = \frac{D}{\alpha}+ C_0 + C_1\alpha</math> | :<math>Z = \frac{pV}{Nk_BT} = \frac{D}{\alpha}+ C_0 + C_1\alpha</math> | ||
where <math>C_0 = 1.90 \pm 0.01</math> and <math>C_1 = 0.67 \pm 0.07</math> and <math>D</math> is the dimensionality of the | where ''Z'' is the [[compressibility factor]], <math>C_0 = 1.90 \pm 0.01</math> and <math>C_1 = 0.67 \pm 0.07</math> and <math>D</math> is the dimensionality of the | ||
system, i.e. for hard disk <math>D=2</math>. | system, i.e. for hard disk <math>D=2</math>. | ||
:<math>\alpha = \frac{V-V_0}{V_0}</math> | :<math>\alpha = \frac{V-V_0}{V_0}</math> | ||
Latest revision as of 18:00, 19 November 2007
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The Alder-Hoover-Young hard disk equation of state is given by (Ref. 1 Eq. 1)
where Z is the compressibility factor, and and is the dimensionality of the system, i.e. for hard disk .
where is the close packed volume.
