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arXiv · 2101.03770

Contact topology and non-equilibrium thermodynamics

Michael Entov·Leonid Polterovich
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Abstract

We describe a method, based on "hard" contact topology, of showing the existence of semi-infinite trajectories of contact Hamiltonian flows which start on one Legendrian submanifold and asymptotically converge to another Legendrian submanifold. We discuss a mathematical model of non-equilibrium thermodynamics where such trajectories play a role of relaxation processes, and illustrate our results in the case of the Glauber dynamics for the mean field Ising model.

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Michael Entov, Leonid Polterovich. 2021-01-11. Contact topology and non-equilibrium thermodynamics. https://arxiv.org/abs/2101.03770

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