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Axiomatic Information Thermodynamics

1
Department of Physics, Kenyon College, Gambier, OH 43022, USA
2
Department of Mathematics, Denison University, Granville, OH 43023, USA
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Author to whom correspondence should be addressed.
Entropy 2018, 20(4), 237; https://doi.org/10.3390/e20040237
Received: 1 February 2018 / Revised: 23 March 2018 / Accepted: 26 March 2018 / Published: 29 March 2018
We present an axiomatic framework for thermodynamics that incorporates information as a fundamental concept. The axioms describe both ordinary thermodynamic processes and those in which information is acquired, used and erased, as in the operation of Maxwell’s demon. This system, similar to previous axiomatic systems for thermodynamics, supports the construction of conserved quantities and an entropy function governing state changes. Here, however, the entropy exhibits both information and thermodynamic aspects. Although our axioms are not based upon probabilistic concepts, a natural and highly useful concept of probability emerges from the entropy function itself. Our abstract system has many models, including both classical and quantum examples. View Full-Text
Keywords: axiomatic thermodynamics; information; entropy; Maxwell’s demon axiomatic thermodynamics; information; entropy; Maxwell’s demon
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Hulse, A.; Schumacher, B.; Westmoreland, M.D. Axiomatic Information Thermodynamics. Entropy 2018, 20, 237.

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