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math-ph2019★ 1 cited
Entropy in Themodynamics: from Foliation to Categorization
Radosław A. Kycia
We overview the notion of entropy in thermodynamics. We start from the smooth case using differential forms on the manifold, which is the natural language for thermodynamics. Then…
math-ph2018★ 8 cited
Landauer's principle as a special case of Galois connection
Radosław A. Kycia
It is demonstrated how to construct a Galois connection between two related systems with entropy. The construction, called the Landauer's connection, describes coupling between two…