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

Latest revision as of 12:58, 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 $y$ is the packing fraction and $c$ is an unknown parameter and $\gamma$ is the non-sphericity factor.

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}}}

where $\gamma =1$

@@ 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>y</math> is the [[packing fraction]] and <math>c</math> is an unknown parameter and <math>\gamma</math> is the non-sphericity factor.
-[[Compressibility factor]] (Eq. 11)
+[[Compressibility factor]] (Eq. 9)
 : <math>
-Z =   \frac{ 1  }{1-y } + \frac{\gamma y \left[ 1+ \gamma  \left(y/7 - y^2/14 \right)    \right]}{(1-y)^2}
+Z =   \frac{ 1  }{1-y } + \frac{\gamma y \left( 1+2cy - cy^2\right) }{(1-y)^2}
 </math>
-[[Helmholtz energy function]] (Eq. 8):
+For the [[hard disk model]] (Eq. 11)
-:<math>\frac{\Delta A}{RT} = - \ln (1-y) + \frac{\gamma y (1+cy)}{1-y}</math>
+: <math>
+Z =   \frac{ 1  }{1-y } + \frac{\gamma y \left[ 1+ \gamma  \left(y/7 - y^2/14 \right)    \right]}{(1-y)^2}
+</math>
-where <math>c</math> is an unknown parameter.
+where <math>\gamma =1</math>
 ==References==
 <references/>
 [[Category: Equations of state]]