Characteristic state function
|This article needs additional citations for verification. (July 2007) (Learn how and when to remove this template message)|
In particular, if the partition function P satisfies
in which Q is a thermodynamic quantity, then Q is known as the "characteristic state function" of the ensemble corresponding to "P". Beta refers to the thermodynamic beta.
- The microcanonical ensemble satisfies hence, its characteristic state function is .
- The canonical ensemble satisfies hence, its characteristic state function is the Helmholtz free energy .
- The grand canonical ensemble satisfies , so its characteristic state function is the Grand potential .
- The isothermal-isobaric ensemble satisfies so its characteristic function is the Gibbs free energy .
State functions are those which tell about the equilibrium state of a system