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The expression associates entropy with the logarithm of the number or phase-space volume of microstates compatible with a specified macrostate, within a chosen resolution.
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This is an authored directed relation from the source endpoint to the target endpoint.
For a specified energy shell or macrostate, Boltzmann entropy is the logarithm of the compatible state count or phase-space volume times .
The target represents a state, property, observable, or state-dependent description associated with the source system or theory.
wp-physics-boltzmann-entropywp-physics-microcanonical-ensembletong-statistical-physicsEach relation below starts at this concept.
This is an authored directed relation from the source endpoint to the target endpoint.
In equilibrium macroscopic regimes where a sharply concentrated macrostate count exists, yields the thermodynamic entropy. The statement depends on the macrostate partition and limit.
The target is recovered from the source either in a stated mathematical or asymptotic limit, or through a quantitatively controlled approximation with identified small parameters or omitted terms. The edge label and detail must state which case applies and its regime of validity.
wp-physics-boltzmann-entropywp-physics-entropytong-statistical-physics