Hamiltonian thermodynamics in the extended phase space: a unifying theory for non-linear molecular dynamics and classical thermodynamics

DOI10.1007/s10910-020-01128-zzbMath1448.80005OpenAlexW3021579091MaRDI QIDQ2184367

Stavros C. Farantos

Publication date: 28 May 2020

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

Full work available at URL: https://doi.org/10.1007/s10910-020-01128-z

zbMATH Keywords

entropyHamiltonianchemical kineticsmolecular dynamicsnon-linear dynamicsfinite-time thermodynamicsHénon-Heiles model

Mathematics Subject Classification ID

Classical and relativistic thermodynamics (80A10) Foundations of equilibrium statistical mechanics (82B03) Chemical kinetics in thermodynamics and heat transfer (80A30) Molecular physics (81V55)

Related Items (1)

Hamiltonian classical thermodynamics and chemical kinetics

Cites Work

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• Introduction to Hamiltonian dynamical systems and the \(N\)-body problem.
• Submanifolds in the thermodynamic phase space
• Contact structure in thermodynamic theory
• Contact Hamiltonian dynamics: Variational principles, invariants, completeness and periodic behavior
• Contact Hamiltonian mechanics
• Statistical Theory of Heat
• Nonlinear Hamiltonian Mechanics Applied to Molecular Dynamics
• Infinitesimal Legendre symmetry in the Geometrothermodynamics programme

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