Helmholtz energy function: Difference between revisions

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:<math>\left.A\right.=-k_B T \ln Q_{NVT}</math>
:<math>\left.A\right.=-k_B T \ln Q_{NVT}</math>
See also
*[[Canonical ensemble]]
*[[Grand canonical ensemble]]


[[Category: Classical thermodynamics]]
[[Category: Classical thermodynamics]]
See also the [[Canonical ensemble]].

Revision as of 16:02, 21 May 2007

Hermann Ludwig Ferdinand von Helmholtz Definition of A (for arbeit):

where U is the internal energy, T is the temperature and S is the entropy. (TS) is a conjugate pair. The differential of this function is

From the Second law of thermodynamics one obtains

thus one arrives at

.

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

The following equation provides a link between classical thermodynamics and statistical mechanics:


See also