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Contact topology and non-equilibrium thermodynamics

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 نشر من قبل Leonid Polterovich
 تاريخ النشر 2021
  مجال البحث فيزياء
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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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