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The potential , natural for fixed temperature, volume, and particle number. Under those constraints, stable equilibrium minimizes relative to allowed states.
wp-physics-helmholtz-free-energywp-physics-thermodynamicstong-statistical-physicsEach relation below ends at this concept.
This is an authored directed relation from the source endpoint to the target endpoint.
The Legendre transform is the thermodynamic potential natural to fixed temperature, volume, and particle number.
The target represents a state, property, observable, or state-dependent description associated with the source system or theory.
wp-physics-helmholtz-free-energytong-statistical-physicsThis is an authored directed relation from the source endpoint to the target endpoint.
For a canonical equilibrium system, the partition function canonically determines the Helmholtz free energy by .
Apply a standard functorial or canonical construction whose output is not merely a reduct of the input and is not generally an equivalent presentation of the same object.
wp-physics-partition-functionwp-physics-helmholtz-free-energytong-statistical-physicsEach relation below starts at this concept.
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