Song and Mason equation of state for hard convex bodies: Difference between revisions

Revision as of 12:35, 21 May 2007

The Song and Mason equation of state (EOS) for hard convex bodies is given by (Eq. 25 of Ref. 1):

{\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)

where $\eta$ is the packing fraction, given by $\eta =\rho v_{0}$ , and

\alpha ={\frac {RS}{3V}}

where $V$ is the volume, $S$ , the surface area, and $R$ the mean radius of curvature.

@@ Line 1: / Line 1: @@
 The '''Song and Mason''' equation of state (EOS) for hard convex bodies
-is given by:
+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>
+where <math>\eta</math> is the packing fraction, given by <math>\eta=\rho v_0</math>, and
+:<math>\alpha= \frac{RS}{3V}</math>
+where <math>V</math> is
+the volume, <math>S</math>, the surface area,  and <math>R</math> the mean radius of curvature.
 ==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)]