Virial coefficients of model systems: Difference between revisions

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The virial equation of state is used to describe the behavior of diluted gases.
*[[Binary hard sphere mixture: virial coefficients| Binary hard sphere mixtures]]
It is usually written as an expansion of the [[compresiblity factor]], <math> Z </math>, in terms of either the
*[[Gaussian overlap model: virial coefficients | Gaussian overlap model]]
density or the pressure. In the first case:
*[[Hard ellipsoids: virial coefficients|Hard ellipsoids]]
*[[Hard sphere: virial coefficients|Hard disks]]
:<math> \frac{p V}{N k_B T } = Z = 1 + \sum_{k=2}^{\infty} B_k(T) \rho^{k-1}</math>.
*[[Hard sphere: virial coefficients|Hard spheres]]
 
*[[Hard spherocylinders: virial coefficients | Hard spherocylinders]]
where
*[[Lennard-Jones model: virial coefficients| Lennard-Jones model]]
 
*[[Square well potential: virial coefficients|Square well potential]]
* <math> p </math> is the pressure
*[[Two-center Lennard-Jones model: virial coefficients| Two-center Lennard-Jones model]]
 
==Interesting reading==
*<math> V </math>  is the volume
*[http://dx.doi.org/10.1103/RevModPhys.25.831  Taro Kihara "Virial Coefficients and Models of Molecules in Gases", Reviews of Modern Physics  '''25''' pp. 831-843 (1953)]
 
*<math> N </math> is the number of molecules
 
*<math> \rho \equiv \frac{N}{V} </math> is the (number) density
 
*<math> B_k\left( T \right) </math> is called the k-th virial coefficient
 
== Systems ==
 
*[[hard sphere: virial equation of state|Hard spheres]]
*[[hard sphere: virial equation of state|Hard disks]]
 
[[Category:Virial coefficients]]
[[Category:Virial coefficients]]

Latest revision as of 11:54, 23 July 2008

Interesting reading[edit]

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