Mayer f-function

Consider a system of classical particles interacting through a pair-wise potential

:$V(\backslash mathbf\{i\},\backslash mathbf\{j\})$

where the bold labels $\backslash mathbf\{i\}$ and $\backslash mathbf\{j\}$ denote the continuous degrees of freedom associated with the particles, e.g.,

:$\backslash mathbf\{i\}=\backslash mathbf\{r\}\_i$

for spherically symmetric particles and

:$\backslash mathbf\{i\}=(\backslash mathbf\{r\}\_i,\backslash Omega\_i)$

for rigid non-spherical particles where $\backslash mathbf\{r\}$ denotes position and $\backslash Omega$ the orientation parametrized e.g. by Euler angles. The Mayer f-function is then defined as

:$f(\backslash mathbf\{i\},\backslash mathbf\{j\})=e^\{-\backslash beta\; V(\backslash mathbf\{i\},\backslash mathbf\{j\})\}-1$

where $\backslash beta=(k\_\{B\}T)^\{-1\}$ the inverse absolute temperature in units of energy⁻¹ .

• Virial coefficient
• Cluster expansion
• Excluded volume

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Category:Special functions