Pressure equation: Difference between revisions

Revision as of 16:38, 8 June 2007

The pressure equation, also known as the virial equation is given by

P^{*}={\frac {\beta P}{\rho }}={\frac {PV}{NkT}}=1-\beta {\frac {2}{3}}\pi \rho \int _{0}^{\infty }\left({\frac {{\rm {d}}\Phi (r)}{{\rm {d}}r}}~r\right)~{\rm {g}}(r)r^{2}~{\rm {d}}r

where $\Phi (r)$ is a central potential and ${\rm {g}}(r)$ is the pair distribution function.

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 The '''pressure equation''', also known as the '''virial equation''' is given by
 :<math>P^*=\frac{\beta P}{\rho}= \frac{PV}{NkT} = 1 - \beta \frac{2}{3} \pi  \rho \int_0^{\infty} \left( \frac{{\rm d}\Phi(r)} {{\rm d}r}~r \right)~{\rm g}(r)r^2~{\rm d}r</math>
-where <math>\Phi(r)</math> is a ''central'' potential and <math>{\rm g}(r)</math> is the [[pair distribution function]].
+where <math>\Phi(r)</math> is a ''central'' [[Intermolecular pair potential | potential]] and <math>{\rm g}(r)</math> is the [[pair distribution function]].
+[[category: statistical mechanics]]