Virial theorem: Difference between revisions
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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 15:09, 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)