Grand canonical ensemble: Difference between revisions
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(THis subsection should be checked) | (THis subsection should be checked) | ||
The | The corresponding thermodynamic potentail for the [[Grand canonical partition function | grand canonical partition function]] is: | ||
: <math> \left. A - \mu N \right. </math>, i.e.: | : <math> \left. A - \mu N \right. </math>, i.e.: |
Revision as of 15:51, 28 February 2007
Ensemble variables
- Chemical Potential,
- Volume,
- Temperature,
Partition Function
Classical partition function (one-component system) in a three-dimensional space:
where:
- is the number of particles
- is the de Broglie thermal wavelength (which depends on the temperature)
- , with being the Boltzmann constant
- is the potential energy, which depends on the coordinates of the particles (and on the interaction model)
- represent the position coordinates of the particles (reduced with the system size): i.e.
Free energy and Partition Function
(THis subsection should be checked)
The corresponding thermodynamic potentail for the grand canonical partition function is:
- , i.e.: