Virial coefficients of model systems: Difference between revisions

Latest revision as of 11:54, 23 July 2008

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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} B_k(T) \rho^{k-1}.
+*[[Hard sphere: virial coefficients|Hard spheres]]
-</math>
+*[[Hard spherocylinders: virial coefficients | Hard spherocylinders]]
+*[[Lennard-Jones model: virial coefficients| Lennard-Jones model]]
-where
+*[[Square well potential: virial coefficients|Square well potential]]
+*[[Two-center Lennard-Jones model: virial coefficients| Two-center Lennard-Jones model]]
-* <math> p </math> is the pressure
+==Interesting reading==
+*[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> V </math>  is the volume
+[[Category:Virial coefficients]]
-*<math> N </math> is the number of molecules
-*<math> \rho \equiv \frac{N}{V} </math> is the (number) density
-*<math> B_k </math> is called the k-th virial coefficient