Virial theorem: Difference between revisions
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The '''virial theorem''' is a feature of systems with central forces. | The '''virial theorem''' is a feature of systems with central forces. | ||
:<math>\overline{ | :<math>\overline{ \mathcal{V} }= - \frac{1}{2} \overline{\sum_i \frac{dU}{dr}\cdot r_i}</math> | ||
The overlines represent time averages. The right hand side is known as the virial of Clausius <ref>R. Clausius, " " Philosophical Magazine '''40''' pp. 122- (1870)</ref>. (Note: Herbert Goldstein uses <math>T</math> for the virial <ref>[http://www.aw-bc.com/catalog/academic/product/0,1144,0201657023,00.html Herbert Goldstein, Charles P. Poole, Jr. and John L. Safko "Classical Mechanics" (3rd edition) Addison-Wesley (2002)] § 3.4</ref>, however here we use T for [[temperature]]). | |||
==References== | ==References== | ||
<references/> | |||
;Related 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)] | |||
[[category: classical mechanics]] | [[category: classical mechanics]] | ||
Revision as of 15:14, 18 May 2011
The virial theorem is a feature of systems with central forces.
The overlines represent time averages. The right hand side is known as the virial of Clausius [1]. (Note: Herbert Goldstein uses for the virial [2], however here we use T for temperature).
References
- ↑ R. Clausius, " " Philosophical Magazine 40 pp. 122- (1870)
- ↑ Herbert Goldstein, Charles P. Poole, Jr. and John L. Safko "Classical Mechanics" (3rd edition) Addison-Wesley (2002) § 3.4
- Related reading