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Nonlinearity
Article . 2023 . Peer-reviewed
License: CC BY
Data sources: Crossref
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arXiv.org e-Print Archive
Preprint . 2021
Data sources: arXiv.org e-Print Archive
https://dx.doi.org/10.48550/ar...
Article . 2021
License: arXiv Non-Exclusive Distribution
Data sources: Datacite
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Contact topology and non-equilibrium thermodynamics

descriptionPublicationkeyboard_double_arrow_right Article , Preprint 17 May 2023Embargo end date: 01 Jan 2021Publisher:IOP PublishingJournal:Nonlinearity, volume 36, pages 3,349-3,375 (issn: 0951-7715, eissn: 1361-6544, Copyright policy )
Authors: Michael Entov; Leonid Polterovich;

doi: 10.1088/1361-6544/acd1ce , 10.48550/arxiv.2101.03770

arXiv: http://arxiv.org/abs/2101.03770

Contact topology and non-equilibrium thermodynamics

Abstract

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.

Related Organizations
Keywords

82Cxx, 53Dxx, 37Jxx, Mathematics - Symplectic Geometry, FOS: Mathematics, Symplectic Geometry (math.SG), FOS: Physical sciences, Mathematical Physics (math-ph), Dynamical Systems (math.DS), Mathematics - Dynamical Systems, Mathematical Physics

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    citations
    This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
    		 5
    popularity
    This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
    		 Top 10%
    influence
    This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
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    impulse
    This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
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citations
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
5
Top 10%
Average
Top 10%
Green
hybrid