Test volume method
An alternative to the virial pressure route to calculating the pressure, there is a method which consists on evaluating the change in internal energy, produced by a small change in the volume of the system . It can be shown that
- Failed to parse (Conversion error. Server ("https://wikimedia.org/api/rest_") reported: "Cannot get mml. Server problem."): {\displaystyle p={\frac {k_{B}TN}{V}}+{\frac {k_{B}T}{\Delta V}}\log \langle \exp(-\Delta U/k_{B}T)\rangle ,}
where is the Boltzmann constant and Failed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle T} is the temperature. The method is clearly inspired by the Widom test-particle method to obtain the chemical potential.
