Abstract
The geometrical approach to statistical mechanics is used to discuss changes in entropy upon sequential displacements of the state of the system. An interpretation of the angle between two states in terms of entropy differences is thereby provided. A particular result of note is that any state can be resolved into a state of maximal entropy (both states having the same expectation values for the constraints) and an orthogonal component. A cosine law for the general case is also derived.
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Feldmann, T., Levine, R.D. & Salamon, P. A geometrical measure for entropy changes. J Stat Phys 42, 1127–1134 (1986). https://doi.org/10.1007/BF01010466
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DOI: https://doi.org/10.1007/BF01010466