Song and Mason equation of state for hard convex bodies: Difference between revisions
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is given by (Eq. 25 of Ref. 1): | is given by (Eq. 25 of Ref. 1): | ||
:<math>\frac{p}{\rho kT} \approx 1 + \frac{\eta}{(1-\eta)^3}\left((1+3\alpha)-(2+3\alpha-3\alpha^2)\eta + \left(1+\left[\frac{B_4}{v_0^3}_{HS} -12\right] \alpha -7\alpha^2\right)\eta^2\right)</math> | :<math>\frac{p}{\rho kT} \approx 1 + \frac{\eta}{(1-\eta)^3}\left((1+3\alpha)-(2+3\alpha-3\alpha^2)\eta + \left(1+\left[\left(\frac{B_4}{v_0^3}\right)_{HS} -12\right] \alpha -7\alpha^2\right)\eta^2\right)</math> | ||
where <math>\eta</math> is the packing fraction, given by <math>\eta=\rho v_0</math>, and | where <math>\eta</math> is the [[packing fraction]], given by <math>\eta=\rho v_0</math> where <math>v_0</math> is the volume of one particle, and | ||
:<math>\alpha= \frac{RS}{ | :<math>\alpha= \frac{RS}{3v_0}</math> | ||
where | where <math>S</math>, the surface area, and <math>R</math> the mean radius of curvature. | ||
<math>\left(\frac{B_4}{v_0^3}\right)_{HS}</math> is the fourth [[Hard sphere: virial coefficients| virial coefficient]] for the [[hard sphere model]]. | |||
==References== | ==References== | ||
#[http://dx.doi.org/10.1103/PhysRevA.41.3121 Yuhua Song and E. A. Mason "Equation of state for a fluid of hard convex bodies in any number of dimensions", Physical Review A '''41''' pp. 3121 - 3124 (1990)] | #[http://dx.doi.org/10.1103/PhysRevA.41.3121 Yuhua Song and E. A. Mason "Equation of state for a fluid of hard convex bodies in any number of dimensions", Physical Review A '''41''' pp. 3121 - 3124 (1990)] | ||
[[category: equations of state]] | [[category: equations of state]] |
Latest revision as of 14:55, 20 October 2009
The Song and Mason equation of state (EOS) for hard convex bodies is given by (Eq. 25 of Ref. 1):
where is the packing fraction, given by where is the volume of one particle, and
where , the surface area, and the mean radius of curvature. is the fourth virial coefficient for the hard sphere model.