4: The Canonical Ensemble
- Page ID
- 426708
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- 4.2: Legendre Transforms
- The microcanonical ensemble involved the thermodynamic variables N , V and E as its variables. However, it is often convenient and desirable to work with other thermodynamic variables as the control variables. Legendre transforms provide a means by which one can determine how the energy functions for different sets of thermodynamic variables are related. The general theory is given below for functions of a single variable.