# Difference between revisions of "Virial theorem"

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:<math>\overline{T}= - \frac{1}{2} \overline{\sum_i \frac{dU}{dr}\cdot r_i}</math> | :<math>\overline{T}= - \frac{1}{2} \overline{\sum_i \frac{dU}{dr}\cdot r_i}</math> | ||

− | where <math>\overline{T}</math> is the kinetic energy. The overlines represent time averages. The right hand side is known as the virial of Clausius (Ref. 2). | + | where <math>\overline{T}</math> is the kinetic energy. The overlines represent time averages. The right hand side is known as the [[virial]] of Clausius (Ref. 2). |

==Interesting reading== | ==Interesting reading== | ||

#[http://dx.doi.org/10.1063/1.1749227 J. C. Slater "The Virial and Molecular Structure", Journal of Chemical Physics '''1''' pp. 687-691 (1933)] | #[http://dx.doi.org/10.1063/1.1749227 J. C. Slater "The Virial and Molecular Structure", Journal of Chemical Physics '''1''' pp. 687-691 (1933)] |

## Revision as of 16:09, 6 February 2008

The **virial theorem** is a feature of systems with central forces.

where is the kinetic energy. The overlines represent time averages. The right hand side is known as the virial of Clausius (Ref. 2).

## Interesting reading

## References

- Section 3.4 of
**Classical Mechanics**by Herbert Goldstein 2nd Edition (1980) Addison Wesley - R. Clausius, " " Philosophical Magazine
**40**pp. 122- (1870)