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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
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| ==Definition==
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| Consider a system of classical particles interacting through a pair-wise potential
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| :<math>V(\mathbf{i},\mathbf{j})</math>
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| 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.,
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| :<math>\mathbf{i}=\mathbf{r}_i</math> | |
| for spherically symmetric particles and
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| :<math>\mathbf{i}=(\mathbf{r}_i,\Omega_i)</math>
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| 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
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| :<math>f(\mathbf{i},\mathbf{j})=e^{-\beta V(\mathbf{i},\mathbf{j})}-1</math>
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| where <math>\beta=(k_{B}T)^{-1}</math> the inverse absolute [[temperature]] in units of (Temperature times the [[Boltzmann constant]] <math>k_{B}</math>)<sup>-1</sup> .
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| ==See also== | |
| *[[Virial coefficient]]
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| *[[Cluster expansion]]
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| *[[Excluded volume]]
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| ==Notes==
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| {{reflist}}
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| [[Category:Special functions]]
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Latest revision as of 14:23, 10 November 2014
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