Helmholtz energy function: Difference between revisions

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:<math>dA=\left(\frac{\partial A}{\partial T}\right)_V dT + \left(\frac{\partial A}{\partial V}\right)_T dV</math>
:<math>dA=\left(\frac{\partial A}{\partial T}\right)_V dT + \left(\frac{\partial A}{\partial V}\right)_T dV</math>


[[Category: Classical thermodynamics]]
Good for use in the [[Canonical ensemble]].
Good for use in the [[Canonical ensemble]].

Revision as of 17:30, 23 February 2007

Hermann Ludwig Ferdinand von Helmholtz Definition:

(TS) is a conjugate pair. The differential of this function is

From the Second law of thermodynamics one obtains

thus one arrives at

leading finally to


For A(T,V) one has the following total differential

Good for use in the Canonical ensemble.