Nonequilibrium thermodynamic process with hysteresis and metastable states—A contact Hamiltonian with unstable and stable segments of a Legendre submanifold

DOI10.1063/5.0062495OpenAlexW3181870375WikidataQ114103639 ScholiaQ114103639MaRDI QIDQ5883441

No author found.

Publication date: 21 March 2023

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

Full work available at URL: https://arxiv.org/abs/2107.01758

Mathematics Subject Classification ID

Dynamic continuum models (systems of particles, etc.) in time-dependent statistical mechanics (82C21) Contact manifolds (general theory) (53D10) Classical dynamic and nonequilibrium statistical mechanics (general) (82C05) Dynamic and nonequilibrium phase transitions (general) in statistical mechanics (82C26) Contact systems (37J55)

Related Items (4)

Contact geometric approach to Glauber dynamics near a cusp and its limitation ⋮ Affine geometric description of thermodynamics ⋮ Scaling symmetries, contact reduction and Poincaré’s dream ⋮ Contact topology and non-equilibrium thermodynamics

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Phase transitions in geometrothermodynamics
• Dynamical systems. IV. Symplectic geometry and its applications. Transl. from the Russian by G. Wassermann
• Statistical physics II. Nonequilibrium statistical mechanics. Rev. transl. of the rev. orig. Jap. ed.
• Contact manifolds in Riemannian geometry
• Geometric structure of the non-equilibrium thermodynamics of homogeneous systems
• An introduction to MCMC for machine learning
• Nonequilibrium stationary states of noninteracting electrons in a one-dimensional lattice
• Contact geometry of the Pontryagin maximum principle
• Information geometry in a global setting
• Aubry-Mather theory for contact Hamiltonian systems
• Numerical integration in celestial mechanics: a case for contact geometry
• The dually flat structure for singular models
• Contact geometry in optimal control of thermodynamic processes for gases
• Contact Hamiltonian mechanics
• Contact geometric descriptions of vector fields on dually flat spaces and their applications in electric circuit models and nonequilibrium statistical mechanics
• Introduction to Nonequilibrium Statistical Mechanics with Quantum Field Theory
• Contact topology and hydrodynamics: I. Beltrami fields and the Seifert conjecture
• Diffusion equations from master equations—A discrete geometric approach
• Contact Hamiltonian systems
• Nonstandard Hamiltonian structures of the Liénard equation and contact geometry
• First Steps in Differential Geometry
• An Introduction to Contact Topology
• Legendre submanifolds in contact manifolds as attractors and geometric nonequilibrium thermodynamics
• Contact polarizations and associated metrics in geometric thermodynamics
• On the classification of singularities in thermodynamics

This page was built for publication: Nonequilibrium thermodynamic process with hysteresis and metastable states—A contact Hamiltonian with unstable and stable segments of a Legendre submanifold