Editing Song and Mason equation of state for hard convex bodies
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:<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> | :<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 | where <math>\eta</math> is the packing fraction, given by <math>\eta=\rho v_0</math>, and | ||
:<math>\alpha= \frac{RS}{ | :<math>\alpha= \frac{RS}{3V}</math> | ||
where <math>S</math>, the surface area, and <math>R</math> the mean radius of curvature. | where <math>V</math> is | ||
the volume, <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]]. | <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]] |