Editing Energy equation
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:<math>\left. \frac{\partial U}{\partial V} \right\vert_T = T \left. \frac{\partial p}{\partial T} \right\vert_V -p </math> | :<math>\left. \frac{\partial U}{\partial V} \right\vert_T = T \left. \frac{\partial p}{\partial T} \right\vert_V -p </math> | ||
and in [[statistical mechanics]] | and in [[statistical mechanics]] by | ||
:<math>\frac{U^{\rm ex}}{N}= \frac{\rho}{2} \int_0^{\infty} \Phi(r)~{\rm g}(r)~4 \pi r^2~{\rm d}r</math> | :<math>\frac{U^{\rm ex}}{N}= \frac{\rho}{2} \int_0^{\infty} \Phi(r)~{\rm g}(r)~4 \pi r^2~{\rm d}r</math> | ||
where <math>\Phi(r)</math> is a '' | where <math>\Phi(r)</math> is a ''central'' potential, <math>U^{\rm ex}</math> is the | ||
[[excess internal energy]] per particle, and <math>{\rm g}(r)</math> is the [[ | [[excess internal energy]] per particle, and <math>{\rm g}(r)</math> is the [[pair distribution function]]. | ||
[[category:statistical mechanics]] | [[category:statistical mechanics]] | ||
[[category: classical thermodynamics]] | [[category: classical thermodynamics]] |