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The characteristic state function in statistical mechanics refers to a particular relationship between the partition function of an ensemble. In particular, if the partition function ''P'' satisfies : or 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. == Examples == *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 抄文引用元・出典: フリー百科事典『 ウィキペディア（Wikipedia）』 ■ウィキペディアで「characteristic state function」の詳細全文を読む スポンサード リンク
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