Time-reversal symmetry, Poincaré recurrence, irreversibility, and the entropic arrow of time: From mechanics to system thermodynamics

DOI10.1016/J.NONRWA.2006.10.002zbMath1157.37339OpenAlexW2091777461MaRDI QIDQ924580

Vijay Sekhar Chellaboina, Sergey G. Nersesov, Wassim M. Haddad

Publication date: 16 May 2008

Published in: Nonlinear Analysis. Real World Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.nonrwa.2006.10.002

zbMATH Keywords

entropythermodynamicsreversibilitysemistabilityHamiltonian mechanicsirreversibilityPoincaré recurrencearrow of timetime-reversal symmetry

Mathematics Subject Classification ID

Hamilton's equations (70H05) Dynamical systems in other branches of physics (quantum mechanics, general relativity, laser physics) (37N20) Foundations of time-dependent statistical mechanics (82C03) Dynamical systems in classical and celestial mechanics (37N05) Irreversible thermodynamics, including Onsager-Machlup theory (82C35)

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Cites Work

• Bluff your way in the second law of thermodynamics
• Time-reversal symmetry in dynamical systems: a survey
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