131.155.136.238: fixed error

2023-07-25T11:22:11Z

fixed error

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The '''Mayer f-function''' is an auxiliary function that often appears in the series expansion of [[thermodynamic]] quantities related to classical [[many-particle system]]s.<ref name = "mcquarrie">Donald Allan McQuarrie, ''Statistical Mechanics'' ([[HarperCollins]], 1976), page 228
</ref> It is named after chemist and physicist [[Joseph Edward Mayer]].

==Definition==
Consider a system of classical particles interacting through a pair-wise potential
:<math>V(\mathbf{i},\mathbf{j})</math>
where the bold labels <math>\mathbf{i}</math> and <math>\mathbf{j}</math> denote the continuous degrees of freedom associated with the particles, e.g.,
:<math>\mathbf{i}=\mathbf{r}_i</math>
for spherically symmetric particles and
:<math>\mathbf{i}=(\mathbf{r}_i,\Omega_i)</math>
for rigid non-spherical particles where <math>\mathbf{r}</math> denotes position and <math>\Omega</math> the orientation parametrized e.g. by [[Euler angles]]. The Mayer f-function is then defined as
:<math>f(\mathbf{i},\mathbf{j})=e^{-\beta V(\mathbf{i},\mathbf{j})}-1</math>
where <math>\beta=(k_{B}T)^{-1}</math> the inverse absolute [[temperature]] in units of energy<sup>−1</sup> .

==See also==
*[[Virial coefficient]]
*[[Cluster expansion]]
*[[Excluded volume]]

==Notes==
{{reflist}}

[[Category:Special functions]]

Mayer f-function - Revision history

131.155.136.238: fixed error