Contact topology and non-equilibrium thermodynamics

DOI10.1088/1361-6544/acd1cearXiv2101.03770OpenAlexW3118612860WikidataQ122962690 ScholiaQ122962690MaRDI QIDQ6097746

Leonid Polterovich, Michael Entov

Publication date: 7 June 2023

Published in: Nonlinearity (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2101.03770

zbMATH Keywords

contact manifoldIsing modelHamiltonian flownon-equilibrium thermodynamicsLegendrian submanifoldcontact thermodynamics

Mathematics Subject Classification ID

Dynamical aspects of finite-dimensional Hamiltonian and Lagrangian systems (37Jxx) Symplectic geometry, contact geometry (53Dxx) Time-dependent statistical mechanics (dynamic and nonequilibrium) (82Cxx)

Related Items (1)

Affine geometric description of thermodynamics

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Contact symmetries and Hamiltonian thermodynamics
• Contact structure in thermodynamic theory
• Convexité en topologie de contact. (Convexity in contact topology)
• Reciprocity relations in thermodynamics
• Aubry-Mather theory for contact Hamiltonian systems
• Legendrian persistence modules and dynamics
• Topological strings, D-model, and knot contact homology
• Aubry-Mather theory for conformally symplectic systems
• Two coupled Ising planes: phase diagram and interplanar force
• Lagrangian tetragons and instabilities in Hamiltonian dynamics
• Maximum Dissipation Non-Equilibrium Thermodynamics and its Geometric Structure
• The Geometry of Some Thermodynamic Systems
• On the singular Weinstein conjecture and the existence of escape orbits for b-Beltrami fields
• An Introduction to Contact Topology
• Legendre submanifolds in contact manifolds as attractors and geometric nonequilibrium thermodynamics
• Time-Dependent Statistics of the Ising Model
• Contact geometric approach to Glauber dynamics near a cusp and its limitation
• Nonequilibrium thermodynamic process with hysteresis and metastable states—A contact Hamiltonian with unstable and stable segments of a Legendre submanifold
• On a special family of thermodynamic processes and their invariants
• On the \(\alpha\)-lazy version of Markov chains in estimation and testing problems

This page was built for publication: Contact topology and non-equilibrium thermodynamics