Chemical potential: Difference between revisions

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:<math>Q_N = \frac{1}{N!} \int ... \int \exp (-U_N/k_B T) dr_1...dr_N</math>
:<math>Q_N = \frac{1}{N!} \int ... \int \exp (-U_N/k_B T) dr_1...dr_N</math>
==See also==
==See also==
*[[Ideal gas chemical potential]]
*[[Ideal gas: Chemical potential]]

Revision as of 16:43, 22 May 2007

Classical thermodynamics

Definition:

where is the Gibbs energy function, leading to

where is the Helmholtz energy function, is the Boltzmann constant, is the pressure, is the temperature and is the volume.

Statistical mechanics

The chemical potential is the derivative of the Helmholtz energy function with respect to the number of particles

where is the partition function for a fluid of identical particles

and is the configurational integral

See also