A Contact Topological Glossary for Non-Equilibrium Thermodynamics
Michael Entov, Leonid Polterovich, Lenya Ryzhik
TL;DR
This paper explores how concepts from contact topology, such as Reeb chords and Legendrian submanifolds, can be applied to understand non-equilibrium thermodynamics.
Contribution
It introduces a contact topological framework to analyze non-equilibrium thermodynamics, connecting geometric notions with thermodynamic concepts.
Findings
Reeb chords relate to thermodynamic processes.
Partial order on Legendrian submanifolds models thermodynamic state relations.
Contact topology provides new insights into non-equilibrium thermodynamics.
Abstract
We discuss the occurrence of some notions and results from contact topology in the non-equilibrium thermodynamics. This includes the Reeb chords and the partial order on the space of Legendrian submanifolds.
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Taxonomy
TopicsAdvanced Mathematical Modeling in Engineering · Advanced Thermodynamics and Statistical Mechanics · Theoretical and Computational Physics