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.

\overline{T}= - \frac{1}{2} \overline{\sum_i \frac{dU}{dr}\cdot r_i}

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

Interesting reading

  1. J. C. Slater "The Virial and Molecular Structure", Journal of Chemical Physics 1 pp. 687-691 (1933)

References

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