Contact topology and non-equilibrium thermodynamics

Michael Entov, Leonid Polterovich*

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

Abstract

We describe a method, based on 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.

Original languageEnglish
Pages (from-to)3349-3375
Number of pages27
JournalNonlinearity
Volume36
Issue number6
DOIs
StatePublished - 1 Jun 2023

Keywords

  • Hamiltonian flow
  • Ising model
  • Legendrian submanifold
  • contact manifold
  • contact thermodynamics
  • non-equilibrium thermodynamics

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