Boublik 2D hard convex body equation of state: Difference between revisions

Revision as of 12:46, 19 October 2011

Boublik 2D hard convex body equation of state ^[1]

{\frac {\Delta A}{RT}}=-\ln(1-y)+{\frac {\gamma y(1+cy)}{1-y}}

where $c$ is an unknown parameter.

Z={\frac {1}{1-y}}+{\frac {\gamma y\left(1+2cy-cy^{2}\right)}{(1-y)^{2}}}

For the hard disk model (Eq. 11)

Z={\frac {1}{1-y}}+{\frac {\gamma y\left[1+\gamma \left(y/7-y^{2}/14\right)\right]}{(1-y)^{2}}}

@@ Line 1: / Line 1: @@
 '''Boublik 2D hard convex body equation of state'''  <ref>[http://dx.doi.org/10.1080/00268976.2011.573508  Tomáš Boublík "Equation of state of hard disk and 2D convex bodies", Molecular Physics '''109''' pp. 1575-1580 (2011)]</ref>
+[[Helmholtz energy function]] (Eq. 8):
+:<math>\frac{\Delta A}{RT} = - \ln (1-y) + \frac{\gamma y (1+cy)}{1-y}</math>
+where <math>c</math> is an unknown parameter.
-[[Compressibility factor]] (Eq. 11)
+[[Compressibility factor]] (Eq. 9)
+: <math>
+Z =   \frac{ 1  }{1-y } + \frac{\gamma y \left( 1+2cy - cy^2\right) }{(1-y)^2}
+</math>
+For the [[hard disk model]] (Eq. 11)
 : <math>
@@ Line 7: / Line 19: @@
 </math>
-[[Helmholtz energy function]] (Eq. 8):
-:<math>\frac{\Delta A}{RT} = - \ln (1-y) + \frac{\gamma y (1+cy)}{1-y}</math>
-where <math>c</math> is an unknown parameter.
 ==References==
 <references/>
 [[Category: Equations of state]]