Typical examples might include distinguishing between: thermodynamic entropy as compared to statistical entropy; thermodynamic entropy versus internal entropy, such as discussed in nonequilibrium thermodynamics; thermodynamic entropy contrasted with "entropy of surface formation", such as discussed in the movement of molecules in a liquid towards the surface; or as is most often the case, particularly after the publication of American electrical engineer Claude Shannon’s 1948 “Mathematical Theory of Communication”, the contrast between thermodynamic entropy and information entropy (or Shannon entropy), as used in information theory or information theory thermodynamics.

References

1. (a) Harkins, William D. (1919). “The Change of Molecular Kinetic Energy into Molecular Potential Energy: the Entropy Principle and Molecular Association” (thermodynamic entropy vs. entropy of surface formation, pg. 540-41),

(b) Mortimer, Robert G. (2000).