Contact topology and non-equilibrium thermodynamics

Michael Entov, Leonid Polterovich

Research output: Contribution to journalArticlepeer-review

1 Scopus citations


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
Issue number6
StatePublished - 17 May 2023


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

ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Mathematical Physics
  • General Physics and Astronomy
  • Applied Mathematics


Dive into the research topics of 'Contact topology and non-equilibrium thermodynamics'. Together they form a unique fingerprint.

Cite this