The asdf method equates the conditional Shannon entropy of residual mappings between decorrelated microstates to the exact thermodynamic entropy from the canonical partition function for the ideal gas and 1D harmonic oscillator.
on the relationship between the second fundamental theorem of the mechanical theory of heat and probability calculations regarding the conditions for thermal equilibrium
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On the Mathematics of Information-Thermodynamics
The asdf method equates the conditional Shannon entropy of residual mappings between decorrelated microstates to the exact thermodynamic entropy from the canonical partition function for the ideal gas and 1D harmonic oscillator.