Pair distribution function

For a fluid of $N$ particles, enclosed in a volume 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 V} at a given temperature 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} (canonical ensemble) interacting via the `central' potential 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 \Phi(r)} , the two particle distribution function is defined as

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 {\rm g}_N^{(2)}(r_1,r_2)= V^2 \frac {\int ... \int e^{-\beta \Phi(r_1,...,r_N)}{\rm d}r_3...{\rm d}r_N} {\int e^{-\beta \Phi(r_1,...,r_N){\rm d}r_1...{\rm d}r_N}}}

See also

• Compressibility equation
• Pressure equation
• Energy equation