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.
- Failed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle \overline{T}= - \frac{1}{2} \overline{\sum_i \frac{dU}{dr}\cdot r_i}}
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)