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Contact geometric approach to Glauber dynamics near a cusp and its limitation

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Publication:5880303
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DOI10.1088/1751-8121/acbe81OpenAlexW4321605796MaRDI QIDQ5880303

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Publication date: 7 March 2023

Published in: Journal of Physics A: Mathematical and Theoretical (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2210.00703


zbMATH Keywords

Ising modelcontact geometryGlauber dynamicsrelaxation processcuspidal singularity


Mathematics Subject Classification ID

Dynamical systems and ergodic theory (37-XX) Statistical mechanics, structure of matter (82-XX)


Related Items

Contact topology and non-equilibrium thermodynamics



Cites Work

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  • Statistical physics II. Nonequilibrium statistical mechanics. Rev. transl. of the rev. orig. Jap. ed.
  • Geometric structure of the non-equilibrium thermodynamics of homogeneous systems
  • On a differentiable linearization theorem of Philip Hartman
  • Legendre submanifolds in contact manifolds as attractors and geometric nonequilibrium thermodynamics
  • Time-Dependent Statistics of the Ising Model
  • Nonequilibrium thermodynamic process with hysteresis and metastable states—A contact Hamiltonian with unstable and stable segments of a Legendre submanifold
  • Metastability
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